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\section{HIPAA Results} \label{apx:hipaa} -\clearpage \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline - \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{1} & 4 & \multicolumn{1}{|c|}{0} & 2320 & \multicolumn{1}{|c|}{0} & 2203 \\ \hline - \multicolumn{1}{|c|}{4} & 4 & \multicolumn{1}{|c|}{1} & 2199 & \multicolumn{1}{|c|}{1} & 83 \\ \hline - \multicolumn{1}{|c|}{5} & 4 & \multicolumn{1}{|c|}{2} & 2109 & \multicolumn{1}{|c|}{2} & 1 \\ \hline - \multicolumn{1}{|c|}{6} & 4 & \multicolumn{1}{|c|}{6} & 1999 & \multicolumn{1}{|c|}{3} & 1 \\ \hline - \multicolumn{1}{|c|}{11} & 4 & \multicolumn{1}{|c|}{4} & 1980 & \multicolumn{1}{|c|}{4} & 1 \\ \hline - \multicolumn{1}{|c|}{12} & 4 & \multicolumn{1}{|c|}{5} & 1980 & \multicolumn{1}{|c|}{5} & 1 \\ \hline - \multicolumn{1}{|c|}{13} & 4 & \multicolumn{1}{|c|}{11} & 1980 & \multicolumn{1}{|c|}{8} & 1 \\ \hline - \multicolumn{1}{|c|}{15} & 4 & \multicolumn{1}{|c|}{15} & 1980 & \multicolumn{1}{|c|}{10} & 1 \\ \hline - \multicolumn{1}{|c|}{16} & 4 & \multicolumn{1}{|c|}{24} & 1980 & \multicolumn{1}{|c|}{11} & 1 \\ \hline - \multicolumn{1}{|c|}{18} & 4 & \multicolumn{1}{|c|}{33} & 1980 & \multicolumn{1}{|c|}{15} & 1 \\ \hline - \multicolumn{1}{|c|}{24} & 4 & \multicolumn{1}{|c|}{45} & 1980 & \multicolumn{1}{|c|}{20} & 1 \\ \hline - \multicolumn{1}{|c|}{25} & 4 & \multicolumn{1}{|c|}{61} & 1980 & \multicolumn{1}{|c|}{23} & 1 \\ \hline - \multicolumn{1}{|c|}{26} & 4 & \multicolumn{1}{|c|}{76} & 1980 & \multicolumn{1}{|c|}{24} & 1 \\ \hline - \multicolumn{1}{|c|}{28} & 4 & \multicolumn{1}{|c|}{101} & 1980 & \multicolumn{1}{|c|}{33} & 1 \\ \hline - \multicolumn{1}{|c|}{29} & 4 & \multicolumn{1}{|c|}{119} & 1980 & \multicolumn{1}{|c|}{40} & 1 \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline + + \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} \\ \hline + \multicolumn{1}{|c|}{1} & 0.05 & \multicolumn{1}{c|}{0} & 0.09 & \multicolumn{1}{c|}{0} & 94.96 \\ \hline + \multicolumn{1}{|c|}{4} & 0.05 & \multicolumn{1}{c|}{1} & 0.08 & \multicolumn{1}{c|}{1} & 3.58 \\ \hline + \multicolumn{1}{|c|}{5} & 0.05 & \multicolumn{1}{c|}{2} & 0.08 & \multicolumn{1}{c|}{2} & 0.04 \\ \hline + \multicolumn{1}{|c|}{6} & 0.05 & \multicolumn{1}{c|}{6} & 0.08 & \multicolumn{1}{c|}{3} & 0.04 \\ \hline + \multicolumn{1}{|c|}{11} & 0.05 & \multicolumn{1}{c|}{4} & 0.07 & \multicolumn{1}{c|}{4} & 0.04 \\ \hline + \multicolumn{1}{|c|}{12} & 0.05 & \multicolumn{1}{c|}{5} & 0.07 & \multicolumn{1}{c|}{5} & 0.04 \\ \hline + \multicolumn{1}{|c|}{13} & 0.05 & \multicolumn{1}{c|}{11} & 0.07 & \multicolumn{1}{c|}{8} & 0.04 \\ \hline + \multicolumn{1}{|c|}{15} & 0.05 & \multicolumn{1}{c|}{15} & 0.07 & \multicolumn{1}{c|}{10} & 0.04 \\ \hline + \multicolumn{1}{|c|}{16} & 0.05 & \multicolumn{1}{c|}{24} & 0.07 & \multicolumn{1}{c|}{11} & 0.04 \\ \hline + \multicolumn{1}{|c|}{18} & 0.05 & \multicolumn{1}{c|}{33} & 0.07 & \multicolumn{1}{c|}{15} & 0.04 \\ \hline + \multicolumn{1}{|c|}{24} & 0.05 & \multicolumn{1}{c|}{45} & 0.07 & \multicolumn{1}{c|}{20} & 0.04 \\ \hline + \multicolumn{1}{|c|}{25} & 0.05 & \multicolumn{1}{c|}{61} & 0.07 & \multicolumn{1}{c|}{23} & 0.04 \\ \hline + \multicolumn{1}{|c|}{26} & 0.05 & \multicolumn{1}{c|}{76} & 0.07 & \multicolumn{1}{c|}{24} & 0.04 \\ \hline + \multicolumn{1}{|c|}{28} & 0.05 & \multicolumn{1}{c|}{101} & 0.07 & \multicolumn{1}{c|}{33} & 0.04 \\ \hline + \multicolumn{1}{|c|}{29} & 0.05 & \multicolumn{1}{c|}{119} & 0.07 & \multicolumn{1}{c|}{40} & 0.04 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with Degree Centrality} + \caption{Top 15 HIPAA Nodes with Degree Centrality} \label{table:hipaa-degree} - \end{table} +\end{table} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline - \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{250} & 0.01723395 & \multicolumn{1}{|c|}{0} & 0.0701156 & \multicolumn{1}{|c|}{0} & 0.0957149696 \\ \hline - \multicolumn{1}{|c|}{1313} & 0.01723395 & \multicolumn{1}{|c|}{1} & 0.06858208 & \multicolumn{1}{|c|}{1} & 0.004016468 \\ \hline - \multicolumn{1}{|c|}{2194} & 0.01723395 & \multicolumn{1}{|c|}{2} & 0.06240477 & \multicolumn{1}{|c|}{2} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{396} & 0.01723395 & \multicolumn{1}{|c|}{11} & 0.06110052 & \multicolumn{1}{|c|}{3} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{2300} & 0.01723395 & \multicolumn{1}{|c|}{24} & 0.06110052 & \multicolumn{1}{|c|}{4} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{913} & 0.01723395 & \multicolumn{1}{|c|}{225} & 0.06110052 & \multicolumn{1}{|c|}{5} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{983} & 0.01723395 & \multicolumn{1}{|c|}{101} & 0.06110052 & \multicolumn{1}{|c|}{8} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{1048} & 0.01723395 & \multicolumn{1}{|c|}{45} & 0.06110052 & \multicolumn{1}{|c|}{10} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{2268} & 0.01723395 & \multicolumn{1}{|c|}{76} & 0.06110052 & \multicolumn{1}{|c|}{11} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{223} & 0.01723395 & \multicolumn{1}{|c|}{119} & 0.06110052 & \multicolumn{1}{|c|}{15} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{385} & 0.01723395 & \multicolumn{1}{|c|}{15} & 0.06110052 & \multicolumn{1}{|c|}{20} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{895} & 0.01723395 & \multicolumn{1}{|c|}{249} & 0.06110052 & \multicolumn{1}{|c|}{23} & 0.0004787209 \\ \hline - \multicolumn{1}{|c|}{1390} & 0.01723395 & \multicolumn{1}{|c|}{313} & 0.06110052 & \multicolumn{1}{|c|}{24} & 0.0004787208 \\ \hline - \multicolumn{1}{|c|}{1479} & 0.01723395 & \multicolumn{1}{|c|}{61} & 0.06110052 & \multicolumn{1}{|c|}{33} & 0.0004787208 \\ \hline - \multicolumn{1}{|c|}{1621} & 0.01723395 & \multicolumn{1}{|c|}{340} & 0.06110052 & \multicolumn{1}{|c|}{40} & 0.0004787208 \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline + \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} \\ \hline + + \multicolumn{1}{|c|}{250} & 0.07 & \multicolumn{1}{c|}{0} & 0.12 & \multicolumn{1}{c|}{0} & 8.70 \\ \hline + \multicolumn{1}{|c|}{1313} & 0.07 & \multicolumn{1}{c|}{1} & 0.12 & \multicolumn{1}{c|}{1} & 0.36 \\ \hline + \multicolumn{1}{|c|}{2194} & 0.07 & \multicolumn{1}{c|}{2} & 0.11 & \multicolumn{1}{c|}{2} & 0.04 \\ \hline + \multicolumn{1}{|c|}{396} & 0.07 & \multicolumn{1}{c|}{11} & 0.11 & \multicolumn{1}{c|}{3} & 0.04 \\ \hline + \multicolumn{1}{|c|}{2300} & 0.07 & \multicolumn{1}{c|}{24} & 0.11 & \multicolumn{1}{c|}{4} & 0.04 \\ \hline + \multicolumn{1}{|c|}{913} & 0.07 & \multicolumn{1}{c|}{225} & 0.11 & \multicolumn{1}{c|}{5} & 0.04 \\ \hline + \multicolumn{1}{|c|}{983} & 0.07 & \multicolumn{1}{c|}{101} & 0.11 & \multicolumn{1}{c|}{8} & 0.04 \\ \hline + \multicolumn{1}{|c|}{1048} & 0.07 & \multicolumn{1}{c|}{45} & 0.11 & \multicolumn{1}{c|}{10} & 0.04 \\ \hline + \multicolumn{1}{|c|}{2268} & 0.07 & \multicolumn{1}{c|}{76} & 0.11 & \multicolumn{1}{c|}{11} & 0.04 \\ \hline + \multicolumn{1}{|c|}{223} & 0.07 & \multicolumn{1}{c|}{119} & 0.11 & \multicolumn{1}{c|}{15} & 0.04 \\ \hline + \multicolumn{1}{|c|}{385} & 0.07 & \multicolumn{1}{c|}{15} & 0.11 & \multicolumn{1}{c|}{20} & 0.04 \\ \hline + \multicolumn{1}{|c|}{895} & 0.07 & \multicolumn{1}{c|}{249} & 0.11 & \multicolumn{1}{c|}{23} & 0.04 \\ \hline + \multicolumn{1}{|c|}{1390} & 0.07 & \multicolumn{1}{c|}{313} & 0.11 & \multicolumn{1}{c|}{24} & 0.04 \\ \hline + \multicolumn{1}{|c|}{1479} & 0.07 & \multicolumn{1}{c|}{61} & 0.11 & \multicolumn{1}{c|}{33} & 0.04 \\ \hline + \multicolumn{1}{|c|}{1621} & 0.07 & \multicolumn{1}{c|}{340} & 0.11 & \multicolumn{1}{c|}{40} & 0.04 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with Katz Centrality} + \caption{Top 15 HIPAA Nodes with Katz Centrality} \label{table:hipaa-katz} - \end{table} +\end{table} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline - \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{1} & 29 & \multicolumn{1}{|c|}{0} & 2320 & \multicolumn{1}{|c|}{0} & 2292 \\ \hline - \multicolumn{1}{|c|}{4} & 29 & \multicolumn{1}{|c|}{1} & 2199 & \multicolumn{1}{|c|}{1} & 87 \\ \hline - \multicolumn{1}{|c|}{5} & 29 & \multicolumn{1}{|c|}{2} & 2109 & \multicolumn{1}{|c|}{2} & 3 \\ \hline - \multicolumn{1}{|c|}{6} & 29 & \multicolumn{1}{|c|}{6} & 1999 & \multicolumn{1}{|c|}{3} & 3 \\ \hline - \multicolumn{1}{|c|}{11} & 29 & \multicolumn{1}{|c|}{4} & 1979 & \multicolumn{1}{|c|}{4} & 3 \\ \hline - \multicolumn{1}{|c|}{12} & 29 & \multicolumn{1}{|c|}{5} & 1979 & \multicolumn{1}{|c|}{5} & 3 \\ \hline - \multicolumn{1}{|c|}{13} & 29 & \multicolumn{1}{|c|}{11} & 1979 & \multicolumn{1}{|c|}{8} & 3 \\ \hline - \multicolumn{1}{|c|}{15} & 29 & \multicolumn{1}{|c|}{15} & 1979 & \multicolumn{1}{|c|}{10} & 3 \\ \hline - \multicolumn{1}{|c|}{16} & 29 & \multicolumn{1}{|c|}{24} & 1979 & \multicolumn{1}{|c|}{11} & 3 \\ \hline - \multicolumn{1}{|c|}{18} & 29 & \multicolumn{1}{|c|}{33} & 1979 & \multicolumn{1}{|c|}{15} & 3 \\ \hline - \multicolumn{1}{|c|}{24} & 29 & \multicolumn{1}{|c|}{45} & 1979 & \multicolumn{1}{|c|}{20} & 3 \\ \hline - \multicolumn{1}{|c|}{25} & 29 & \multicolumn{1}{|c|}{61} & 1979 & \multicolumn{1}{|c|}{23} & 3 \\ \hline - \multicolumn{1}{|c|}{26} & 29 & \multicolumn{1}{|c|}{76} & 1979 & \multicolumn{1}{|c|}{24} & 3 \\ \hline - \multicolumn{1}{|c|}{28} & 29 & \multicolumn{1}{|c|}{101} & 1979 & \multicolumn{1}{|c|}{33} & 3 \\ \hline - \multicolumn{1}{|c|}{29} & 29 & \multicolumn{1}{|c|}{119} & 1979 & \multicolumn{1}{|c|}{40} & 3 \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline + + \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} \\ \hline + \multicolumn{1}{|c|}{1} & 0.05 & \multicolumn{1}{c|}{0} & 0.09 & \multicolumn{1}{c|}{0} & 92.83 \\ \hline + \multicolumn{1}{|c|}{4} & 0.05 & \multicolumn{1}{c|}{1} & 0.08 & \multicolumn{1}{c|}{1} & 3.52 \\ \hline + \multicolumn{1}{|c|}{5} & 0.05 & \multicolumn{1}{c|}{2} & 0.08 & \multicolumn{1}{c|}{2} & 0.12 \\ \hline + \multicolumn{1}{|c|}{6} & 0.05 & \multicolumn{1}{c|}{6} & 0.08 & \multicolumn{1}{c|}{3} & 0.12 \\ \hline + \multicolumn{1}{|c|}{11} & 0.05 & \multicolumn{1}{c|}{4} & 0.07 & \multicolumn{1}{c|}{4} & 0.12 \\ \hline + \multicolumn{1}{|c|}{12} & 0.05 & \multicolumn{1}{c|}{5} & 0.07 & \multicolumn{1}{c|}{5} & 0.12 \\ \hline + \multicolumn{1}{|c|}{13} & 0.05 & \multicolumn{1}{c|}{11} & 0.07 & \multicolumn{1}{c|}{8} & 0.12 \\ \hline + \multicolumn{1}{|c|}{15} & 0.05 & \multicolumn{1}{c|}{15} & 0.07 & \multicolumn{1}{c|}{10} & 0.12 \\ \hline + \multicolumn{1}{|c|}{16} & 0.05 & \multicolumn{1}{c|}{24} & 0.07 & \multicolumn{1}{c|}{11} & 0.12 \\ \hline + \multicolumn{1}{|c|}{18} & 0.05 & \multicolumn{1}{c|}{33} & 0.07 & \multicolumn{1}{c|}{15} & 0.12 \\ \hline + \multicolumn{1}{|c|}{24} & 0.05 & \multicolumn{1}{c|}{45} & 0.07 & \multicolumn{1}{c|}{20} & 0.12 \\ \hline + \multicolumn{1}{|c|}{25} & 0.05 & \multicolumn{1}{c|}{61} & 0.07 & \multicolumn{1}{c|}{23} & 0.12 \\ \hline + \multicolumn{1}{|c|}{26} & 0.05 & \multicolumn{1}{c|}{76} & 0.07 & \multicolumn{1}{c|}{24} & 0.12 \\ \hline + \multicolumn{1}{|c|}{28} & 0.05 & \multicolumn{1}{c|}{101} & 0.07 & \multicolumn{1}{c|}{33} & 0.12 \\ \hline + \multicolumn{1}{|c|}{29} & 0.05 & \multicolumn{1}{c|}{119} & 0.07 & \multicolumn{1}{c|}{40} & 0.12 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with K-path Edge Centrality} + \caption{Top 15 HIPAA Nodes with K-path Edge Centrality} \label{table:hipaa-kpe} - \end{table} +\end{table} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{98} & 0.001622572 & \multicolumn{1}{|c|}{98} & 0.001149403 & \multicolumn{1}{|c|}{440} & 0.002213066 \\ \hline - \multicolumn{1}{|c|}{150} & 0.001517908 & \multicolumn{1}{|c|}{141} & 0.001149403 & \multicolumn{1}{|c|}{450} & 0.002213066 \\ \hline - \multicolumn{1}{|c|}{141} & 0.001473917 & \multicolumn{1}{|c|}{150} & 0.001149403 & \multicolumn{1}{|c|}{340} & 0.002118449 \\ \hline - \multicolumn{1}{|c|}{152} & 0.001458482 & \multicolumn{1}{|c|}{152} & 0.001149403 & \multicolumn{1}{|c|}{421} & 0.002118449 \\ \hline - \multicolumn{1}{|c|}{218} & 0.001430206 & \multicolumn{1}{|c|}{198} & 0.001149403 & \multicolumn{1}{|c|}{330} & 0.002117339 \\ \hline - \multicolumn{1}{|c|}{207} & 0.001394885 & \multicolumn{1}{|c|}{207} & 0.001149403 & \multicolumn{1}{|c|}{339} & 0.002117339 \\ \hline - \multicolumn{1}{|c|}{220} & 0.001378205 & \multicolumn{1}{|c|}{209} & 0.001149403 & \multicolumn{1}{|c|}{249} & 0.002006025 \\ \hline - \multicolumn{1}{|c|}{304} & 0.001370904 & \multicolumn{1}{|c|}{218} & 0.001149403 & \multicolumn{1}{|c|}{313} & 0.002006025 \\ \hline - \multicolumn{1}{|c|}{198} & 0.001363898 & \multicolumn{1}{|c|}{220} & 0.001149403 & \multicolumn{1}{|c|}{240} & 0.002004719 \\ \hline - \multicolumn{1}{|c|}{209} & 0.001340868 & \multicolumn{1}{|c|}{222} & 0.001149403 & \multicolumn{1}{|c|}{248} & 0.002004719 \\ \hline - \multicolumn{1}{|c|}{222} & 0.001338749 & \multicolumn{1}{|c|}{271} & 0.001149403 & \multicolumn{1}{|c|}{176} & 0.001873761 \\ \hline - \multicolumn{1}{|c|}{410} & 0.001334312 & \multicolumn{1}{|c|}{280} & 0.001149403 & \multicolumn{1}{|c|}{225} & 0.001873761 \\ \hline - \multicolumn{1}{|c|}{291} & 0.001321592 & \multicolumn{1}{|c|}{282} & 0.001149403 & \multicolumn{1}{|c|}{168} & 0.001872224 \\ \hline - \multicolumn{1}{|c|}{537} & 0.001312566 & \multicolumn{1}{|c|}{291} & 0.001149403 & \multicolumn{1}{|c|}{175} & 0.001872224 \\ \hline - \multicolumn{1}{|c|}{306} & 0.001304744 & \multicolumn{1}{|c|}{293} & 0.001149403 & \multicolumn{1}{|c|}{119} & 0.001718156 \\ \hline + + \multicolumn{1}{|c|}{98} & 0.16 & \multicolumn{1}{c|}{98} & 0.11 & \multicolumn{1}{c|}{440} & 0.22 \\ \hline + \multicolumn{1}{|c|}{150} & 0.15 & \multicolumn{1}{c|}{141} & 0.11 & \multicolumn{1}{c|}{450} & 0.22 \\ \hline + \multicolumn{1}{|c|}{141} & 0.15 & \multicolumn{1}{c|}{150} & 0.11 & \multicolumn{1}{c|}{340} & 0.21 \\ \hline + \multicolumn{1}{|c|}{152} & 0.15 & \multicolumn{1}{c|}{152} & 0.11 & \multicolumn{1}{c|}{421} & 0.21 \\ \hline + \multicolumn{1}{|c|}{218} & 0.14 & \multicolumn{1}{c|}{198} & 0.11 & \multicolumn{1}{c|}{330} & 0.21 \\ \hline + \multicolumn{1}{|c|}{207} & 0.14 & \multicolumn{1}{c|}{207} & 0.11 & \multicolumn{1}{c|}{339} & 0.21 \\ \hline + \multicolumn{1}{|c|}{220} & 0.14 & \multicolumn{1}{c|}{209} & 0.11 & \multicolumn{1}{c|}{249} & 0.20 \\ \hline + \multicolumn{1}{|c|}{304} & 0.14 & \multicolumn{1}{c|}{218} & 0.11 & \multicolumn{1}{c|}{313} & 0.20 \\ \hline + \multicolumn{1}{|c|}{198} & 0.14 & \multicolumn{1}{c|}{220} & 0.11 & \multicolumn{1}{c|}{240} & 0.20 \\ \hline + \multicolumn{1}{|c|}{209} & 0.13 & \multicolumn{1}{c|}{222} & 0.11 & \multicolumn{1}{c|}{248} & 0.20 \\ \hline + \multicolumn{1}{|c|}{222} & 0.13 & \multicolumn{1}{c|}{271} & 0.11 & \multicolumn{1}{c|}{176} & 0.19 \\ \hline + \multicolumn{1}{|c|}{410} & 0.13 & \multicolumn{1}{c|}{280} & 0.11 & \multicolumn{1}{c|}{225} & 0.19 \\ \hline + \multicolumn{1}{|c|}{291} & 0.13 & \multicolumn{1}{c|}{282} & 0.11 & \multicolumn{1}{c|}{168} & 0.19 \\ \hline + \multicolumn{1}{|c|}{537} & 0.13 & \multicolumn{1}{c|}{291} & 0.11 & \multicolumn{1}{c|}{175} & 0.19 \\ \hline + \multicolumn{1}{|c|}{306} & 0.13 & \multicolumn{1}{c|}{293} & 0.11 & \multicolumn{1}{c|}{119} & 0.17 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with PageRank Centrality} + \caption{Top 15 HIPAA Nodes with PageRank Centrality} \label{table:hipaa-APC} - \end{table} +\end{table} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{57} & 30159.36 & \multicolumn{1}{|c|}{0} & 0 & \multicolumn{1}{|c|}{1} & 99 \\ \hline - \multicolumn{1}{|c|}{98} & 29440.04 & \multicolumn{1}{|c|}{1} & 0 & \multicolumn{1}{|c|}{45} & 25 \\ \hline - \multicolumn{1}{|c|}{150} & 28358.55 & \multicolumn{1}{|c|}{2} & 0 & \multicolumn{1}{|c|}{61} & 25 \\ \hline - \multicolumn{1}{|c|}{88} & 28108.58 & \multicolumn{1}{|c|}{3} & 0 & \multicolumn{1}{|c|}{70} & 25 \\ \hline - \multicolumn{1}{|c|}{95} & 28093.87 & \multicolumn{1}{|c|}{4} & 0 & \multicolumn{1}{|c|}{75} & 25 \\ \hline - \multicolumn{1}{|c|}{141} & 27812.05 & \multicolumn{1}{|c|}{5} & 0 & \multicolumn{1}{|c|}{24} & 24 \\ \hline - \multicolumn{1}{|c|}{152} & 27774.25 & \multicolumn{1}{|c|}{6} & 0 & \multicolumn{1}{|c|}{33} & 24 \\ \hline - \multicolumn{1}{|c|}{97} & 27495.11 & \multicolumn{1}{|c|}{7} & 0 & \multicolumn{1}{|c|}{40} & 24 \\ \hline - \multicolumn{1}{|c|}{218} & 27411.69 & \multicolumn{1}{|c|}{8} & 0 & \multicolumn{1}{|c|}{44} & 24 \\ \hline - \multicolumn{1}{|c|}{207} & 26972.75 & \multicolumn{1}{|c|}{9} & 0 & \multicolumn{1}{|c|}{76} & 24 \\ \hline - \multicolumn{1}{|c|}{220} & 26927 & \multicolumn{1}{|c|}{10} & 0 & \multicolumn{1}{|c|}{101} & 24 \\ \hline - \multicolumn{1}{|c|}{131} & 26605.99 & \multicolumn{1}{|c|}{11} & 0 & \multicolumn{1}{|c|}{112} & 24 \\ \hline - \multicolumn{1}{|c|}{304} & 26604.49 & \multicolumn{1}{|c|}{12} & 0 & \multicolumn{1}{|c|}{118} & 24 \\ \hline - \multicolumn{1}{|c|}{147} & 26591 & \multicolumn{1}{|c|}{13} & 0 & \multicolumn{1}{|c|}{11} & 21 \\ \hline - \multicolumn{1}{|c|}{138} & 26507.64 & \multicolumn{1}{|c|}{14} & 0 & \multicolumn{1}{|c|}{15} & 21 \\ \hline + + \multicolumn{1}{|c|}{57} & 0.10 & \multicolumn{1}{c|}{0} & 0 & \multicolumn{1}{c|}{1} & 13.36 \\ \hline + \multicolumn{1}{|c|}{98} & 0.10 & \multicolumn{1}{c|}{1} & 0 & \multicolumn{1}{c|}{45} & 3.37 \\ \hline + \multicolumn{1}{|c|}{150} & 0.09 & \multicolumn{1}{c|}{2} & 0 & \multicolumn{1}{c|}{61} & 3.37 \\ \hline + \multicolumn{1}{|c|}{88} & 0.09 & \multicolumn{1}{c|}{3} & 0 & \multicolumn{1}{c|}{70} & 3.37 \\ \hline + \multicolumn{1}{|c|}{95} & 0.09 & \multicolumn{1}{c|}{4} & 0 & \multicolumn{1}{c|}{75} & 3.37 \\ \hline + \multicolumn{1}{|c|}{141} & 0.09 & \multicolumn{1}{c|}{5} & 0 & \multicolumn{1}{c|}{24} & 3.24 \\ \hline + \multicolumn{1}{|c|}{152} & 0.09 & \multicolumn{1}{c|}{6} & 0 & \multicolumn{1}{c|}{33} & 3.24 \\ \hline + \multicolumn{1}{|c|}{97} & 0.09 & \multicolumn{1}{c|}{7} & 0 & \multicolumn{1}{c|}{40} & 3.24 \\ \hline + \multicolumn{1}{|c|}{218} & 0.09 & \multicolumn{1}{c|}{8} & 0 & \multicolumn{1}{c|}{44} & 3.24 \\ \hline + \multicolumn{1}{|c|}{207} & 0.09 & \multicolumn{1}{c|}{9} & 0 & \multicolumn{1}{c|}{76} & 3.24 \\ \hline + \multicolumn{1}{|c|}{220} & 0.09 & \multicolumn{1}{c|}{10} & 0 & \multicolumn{1}{c|}{101} & 3.24 \\ \hline + \multicolumn{1}{|c|}{131} & 0.09 & \multicolumn{1}{c|}{11} & 0 & \multicolumn{1}{c|}{112} & 3.24 \\ \hline + \multicolumn{1}{|c|}{304} & 0.09 & \multicolumn{1}{c|}{12} & 0 & \multicolumn{1}{c|}{118} & 3.24 \\ \hline + \multicolumn{1}{|c|}{147} & 0.09 & \multicolumn{1}{c|}{13} & 0 & \multicolumn{1}{c|}{11} & 2.83 \\ \hline + \multicolumn{1}{|c|}{138} & 0.09 & \multicolumn{1}{c|}{14} & 0 & \multicolumn{1}{c|}{15} & 2.83 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with Betweenness Centrality} + \caption{Top 15 HIPAA Nodes with Betweenness Centrality} \label{table:hipaa-btwn} - \end{table} +\end{table} -\clearpage \section{PCI DSS Results} \label{apx:pci} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{1} & 4 & \multicolumn{1}{|c|}{0} & 60 & \multicolumn{1}{|c|}{0} & 43 \\ \hline - \multicolumn{1}{|c|}{4} & 4 & \multicolumn{1}{|c|}{1} & 47 & \multicolumn{1}{|c|}{1} & 8 \\ \hline - \multicolumn{1}{|c|}{7} & 4 & \multicolumn{1}{|c|}{4} & 36 & \multicolumn{1}{|c|}{2} & 1 \\ \hline - \multicolumn{1}{|c|}{11} & 4 & \multicolumn{1}{|c|}{11} & 36 & \multicolumn{1}{|c|}{3} & 1 \\ \hline - \multicolumn{1}{|c|}{14} & 4 & \multicolumn{1}{|c|}{22} & 36 & \multicolumn{1}{|c|}{4} & 1 \\ \hline - \multicolumn{1}{|c|}{22} & 4 & \multicolumn{1}{|c|}{2} & 31 & \multicolumn{1}{|c|}{7} & 1 \\ \hline - \multicolumn{1}{|c|}{25} & 4 & \multicolumn{1}{|c|}{3} & 31 & \multicolumn{1}{|c|}{8} & 1 \\ \hline - \multicolumn{1}{|c|}{38} & 4 & \multicolumn{1}{|c|}{7} & 31 & \multicolumn{1}{|c|}{10} & 1 \\ \hline - \multicolumn{1}{|c|}{0} & 3 & \multicolumn{1}{|c|}{8} & 24 & \multicolumn{1}{|c|}{11} & 1 \\ \hline - \multicolumn{1}{|c|}{2} & 3 & \multicolumn{1}{|c|}{10} & 24 & \multicolumn{1}{|c|}{19} & 1 \\ \hline - \multicolumn{1}{|c|}{3} & 3 & \multicolumn{1}{|c|}{14} & 24 & \multicolumn{1}{|c|}{21} & 1 \\ \hline - \multicolumn{1}{|c|}{5} & 3 & \multicolumn{1}{|c|}{19} & 24 & \multicolumn{1}{|c|}{5} & 0 \\ \hline - \multicolumn{1}{|c|}{6} & 3 & \multicolumn{1}{|c|}{21} & 24 & \multicolumn{1}{|c|}{6} & 0 \\ \hline - \multicolumn{1}{|c|}{8} & 3 & \multicolumn{1}{|c|}{25} & 24 & \multicolumn{1}{|c|}{9} & 0 \\ \hline - \multicolumn{1}{|c|}{10} & 3 & \multicolumn{1}{|c|}{33} & 24 & \multicolumn{1}{|c|}{12} & 0 \\ \hline + + \multicolumn{1}{|c|}{1} & 2.45 & \multicolumn{1}{c|}{0} & 5.96 & \multicolumn{1}{c|}{0} & 71.67 \\ \hline + \multicolumn{1}{|c|}{4} & 2.45 & \multicolumn{1}{c|}{1} & 4.67 & \multicolumn{1}{c|}{1} & 13.33 \\ \hline + \multicolumn{1}{|c|}{7} & 2.45 & \multicolumn{1}{c|}{4} & 3.57 & \multicolumn{1}{c|}{2} & 1.67 \\ \hline + \multicolumn{1}{|c|}{11} & 2.45 & \multicolumn{1}{c|}{11} & 3.57 & \multicolumn{1}{c|}{3} & 1.67 \\ \hline + \multicolumn{1}{|c|}{14} & 2.45 & \multicolumn{1}{c|}{22} & 3.57 & \multicolumn{1}{c|}{4} & 1.67 \\ \hline + \multicolumn{1}{|c|}{22} & 2.45 & \multicolumn{1}{c|}{2} & 3.08 & \multicolumn{1}{c|}{7} & 1.67 \\ \hline + \multicolumn{1}{|c|}{25} & 2.45 & \multicolumn{1}{c|}{3} & 3.08 & \multicolumn{1}{c|}{8} & 1.67 \\ \hline + \multicolumn{1}{|c|}{38} & 2.45 & \multicolumn{1}{c|}{7} & 3.08 & \multicolumn{1}{c|}{10} & 1.67 \\ \hline + \multicolumn{1}{|c|}{0} & 1.84 & \multicolumn{1}{c|}{8} & 2.38 & \multicolumn{1}{c|}{11} & 1.67 \\ \hline + \multicolumn{1}{|c|}{2} & 1.84 & \multicolumn{1}{c|}{10} & 2.38 & \multicolumn{1}{c|}{19} & 1.67 \\ \hline + \multicolumn{1}{|c|}{3} & 1.84 & \multicolumn{1}{c|}{14} & 2.38 & \multicolumn{1}{c|}{21} & 1.67 \\ \hline + \multicolumn{1}{|c|}{5} & 1.84 & \multicolumn{1}{c|}{19} & 2.38 & \multicolumn{1}{c|}{5} & 0.00 \\ \hline + \multicolumn{1}{|c|}{6} & 1.84 & \multicolumn{1}{c|}{21} & 2.38 & \multicolumn{1}{c|}{6} & 0.00 \\ \hline + \multicolumn{1}{|c|}{8} & 1.84 & \multicolumn{1}{c|}{25} & 2.38 & \multicolumn{1}{c|}{9} & 0.00 \\ \hline + \multicolumn{1}{|c|}{10} & 1.84 & \multicolumn{1}{c|}{33} & 2.38 & \multicolumn{1}{c|}{12} & 0.00 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with Degree Centrality} + \caption{Top 15 PCI DSS Nodes with Degree Centrality} \label{table:pci-deg} - \end{table} - +\end{table} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{0} & 21672.0619 & \multicolumn{1}{|c|}{0} & 38118.0529 & \multicolumn{1}{|c|}{0} & 0.08859508 \\ \hline - \multicolumn{1}{|c|}{1} & 14435.569 & \multicolumn{1}{|c|}{1} & 17874.4534 & \multicolumn{1}{|c|}{1} & 0.02985246 \\ \hline - \multicolumn{1}{|c|}{4} & 14435.569 & \multicolumn{1}{|c|}{4} & 17278.6824 & \multicolumn{1}{|c|}{2} & 0.01821311 \\ \hline - \multicolumn{1}{|c|}{11} & 14435.569 & \multicolumn{1}{|c|}{11} & 17278.6824 & \multicolumn{1}{|c|}{3} & 0.01821311 \\ \hline - \multicolumn{1}{|c|}{22} & 14435.569 & \multicolumn{1}{|c|}{22} & 17278.6824 & \multicolumn{1}{|c|}{4} & 0.01819672 \\ \hline - \multicolumn{1}{|c|}{3} & 4822.2923 & \multicolumn{1}{|c|}{2} & 6274.702 & \multicolumn{1}{|c|}{8} & 0.01819672 \\ \hline - \multicolumn{1}{|c|}{10} & 4822.2923 & \multicolumn{1}{|c|}{3} & 6274.702 & \multicolumn{1}{|c|}{10} & 0.01819672 \\ \hline - \multicolumn{1}{|c|}{21} & 4822.2923 & \multicolumn{1}{|c|}{8} & 6065.5717 & \multicolumn{1}{|c|}{7} & 0.01803279 \\ \hline - \multicolumn{1}{|c|}{35} & 4822.2923 & \multicolumn{1}{|c|}{19} & 6065.5717 & \multicolumn{1}{|c|}{11} & 0.01803279 \\ \hline - \multicolumn{1}{|c|}{2} & 4822.2923 & \multicolumn{1}{|c|}{33} & 6065.5717 & \multicolumn{1}{|c|}{19} & 0.01803279 \\ \hline - \multicolumn{1}{|c|}{8} & 4822.2923 & \multicolumn{1}{|c|}{10} & 6065.5717 & \multicolumn{1}{|c|}{21} & 0.01803279 \\ \hline - \multicolumn{1}{|c|}{19} & 4822.2923 & \multicolumn{1}{|c|}{21} & 6065.5717 & \multicolumn{1}{|c|}{5} & 0.01639344 \\ \hline - \multicolumn{1}{|c|}{33} & 4822.2923 & \multicolumn{1}{|c|}{35} & 6065.5717 & \multicolumn{1}{|c|}{6} & 0.01639344 \\ \hline - \multicolumn{1}{|c|}{38} & 801.1816 & \multicolumn{1}{|c|}{7} & 917.4427 & \multicolumn{1}{|c|}{9} & 0.01639344 \\ \hline - \multicolumn{1}{|c|}{25} & 801.1816 & \multicolumn{1}{|c|}{38} & 886.885 & \multicolumn{1}{|c|}{12} & 0.01639344 \\ \hline + + \multicolumn{1}{|c|}{0} & 17.28 & \multicolumn{1}{c|}{0} & 23.08 & \multicolumn{1}{c|}{0} & 8.04 \\ \hline + \multicolumn{1}{|c|}{1} & 11.51 & \multicolumn{1}{c|}{1} & 10.82 & \multicolumn{1}{c|}{1} & 2.71 \\ \hline + \multicolumn{1}{|c|}{4} & 11.51 & \multicolumn{1}{c|}{4} & 10.46 & \multicolumn{1}{c|}{2} & 1.65 \\ \hline + \multicolumn{1}{|c|}{11} & 11.51 & \multicolumn{1}{c|}{11} & 10.46 & \multicolumn{1}{c|}{3} & 1.65 \\ \hline + \multicolumn{1}{|c|}{22} & 11.51 & \multicolumn{1}{c|}{22} & 10.46 & \multicolumn{1}{c|}{4} & 1.65 \\ \hline + \multicolumn{1}{|c|}{3} & 3.85 & \multicolumn{1}{c|}{2} & 3.80 & \multicolumn{1}{c|}{8} & 1.65 \\ \hline + \multicolumn{1}{|c|}{10} & 3.85 & \multicolumn{1}{c|}{3} & 3.80 & \multicolumn{1}{c|}{10} & 1.65 \\ \hline + \multicolumn{1}{|c|}{21} & 3.85 & \multicolumn{1}{c|}{8} & 3.67 & \multicolumn{1}{c|}{7} & 1.64 \\ \hline + \multicolumn{1}{|c|}{35} & 3.85 & \multicolumn{1}{c|}{19} & 3.67 & \multicolumn{1}{c|}{11} & 1.64 \\ \hline + \multicolumn{1}{|c|}{2} & 3.85 & \multicolumn{1}{c|}{33} & 3.67 & \multicolumn{1}{c|}{19} & 1.64 \\ \hline + \multicolumn{1}{|c|}{8} & 3.85 & \multicolumn{1}{c|}{10} & 3.67 & \multicolumn{1}{c|}{21} & 1.64 \\ \hline + \multicolumn{1}{|c|}{19} & 3.85 & \multicolumn{1}{c|}{21} & 3.67 & \multicolumn{1}{c|}{5} & 1.49 \\ \hline + \multicolumn{1}{|c|}{33} & 3.85 & \multicolumn{1}{c|}{35} & 3.67 & \multicolumn{1}{c|}{6} & 1.49 \\ \hline + \multicolumn{1}{|c|}{38} & 0.64 & \multicolumn{1}{c|}{7} & 0.56 & \multicolumn{1}{c|}{9} & 1.49 \\ \hline + \multicolumn{1}{|c|}{25} & 0.64 & \multicolumn{1}{c|}{38} & 0.54 & \multicolumn{1}{c|}{12} & 1.49 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with Katz Centrality} + \caption{Top 15 PCI DSS Nodes with Katz Centrality} \label{table:pci-katz} - \end{table} +\end{table} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{1} & 23 & \multicolumn{1}{|c|}{0} & 60 & \multicolumn{1}{|c|}{0} & 57 \\ \hline - \multicolumn{1}{|c|}{4} & 22 & \multicolumn{1}{|c|}{1} & 47 & \multicolumn{1}{|c|}{1} & 11 \\ \hline - \multicolumn{1}{|c|}{11} & 22 & \multicolumn{1}{|c|}{4} & 35 & \multicolumn{1}{|c|}{2} & 3 \\ \hline - \multicolumn{1}{|c|}{22} & 22 & \multicolumn{1}{|c|}{11} & 35 & \multicolumn{1}{|c|}{3} & 3 \\ \hline - \multicolumn{1}{|c|}{0} & 21 & \multicolumn{1}{|c|}{22} & 35 & \multicolumn{1}{|c|}{4} & 2 \\ \hline - \multicolumn{1}{|c|}{7} & 19 & \multicolumn{1}{|c|}{2} & 31 & \multicolumn{1}{|c|}{8} & 2 \\ \hline - \multicolumn{1}{|c|}{14} & 18 & \multicolumn{1}{|c|}{3} & 31 & \multicolumn{1}{|c|}{10} & 2 \\ \hline - \multicolumn{1}{|c|}{25} & 18 & \multicolumn{1}{|c|}{7} & 31 & \multicolumn{1}{|c|}{7} & 1 \\ \hline - \multicolumn{1}{|c|}{38} & 18 & \multicolumn{1}{|c|}{5} & 23 & \multicolumn{1}{|c|}{11} & 1 \\ \hline - \multicolumn{1}{|c|}{2} & 15 & \multicolumn{1}{|c|}{6} & 23 & \multicolumn{1}{|c|}{19} & 1 \\ \hline - \multicolumn{1}{|c|}{3} & 15 & \multicolumn{1}{|c|}{8} & 23 & \multicolumn{1}{|c|}{21} & 1 \\ \hline - \multicolumn{1}{|c|}{5} & 14 & \multicolumn{1}{|c|}{10} & 23 & \multicolumn{1}{|c|}{5} & 0 \\ \hline - \multicolumn{1}{|c|}{6} & 14 & \multicolumn{1}{|c|}{14} & 23 & \multicolumn{1}{|c|}{6} & 0 \\ \hline - \multicolumn{1}{|c|}{8} & 14 & \multicolumn{1}{|c|}{19} & 23 & \multicolumn{1}{|c|}{9} & 0 \\ \hline - \multicolumn{1}{|c|}{10} & 14 & \multicolumn{1}{|c|}{21} & 23 & \multicolumn{1}{|c|}{12} & 0 \\ \hline + + \multicolumn{1}{|c|}{1} & 3.48 & \multicolumn{1}{c|}{0} & 6.24 & \multicolumn{1}{c|}{0} & 67.86 \\ \hline + \multicolumn{1}{|c|}{4} & 3.33 & \multicolumn{1}{c|}{1} & 4.89 & \multicolumn{1}{c|}{1} & 13.10 \\ \hline + \multicolumn{1}{|c|}{11} & 3.33 & \multicolumn{1}{c|}{4} & 3.64 & \multicolumn{1}{c|}{2} & 3.57 \\ \hline + \multicolumn{1}{|c|}{22} & 3.33 & \multicolumn{1}{c|}{11} & 3.64 & \multicolumn{1}{c|}{3} & 3.57 \\ \hline + \multicolumn{1}{|c|}{0} & 3.18 & \multicolumn{1}{c|}{22} & 3.64 & \multicolumn{1}{c|}{4} & 2.38 \\ \hline + \multicolumn{1}{|c|}{7} & 2.88 & \multicolumn{1}{c|}{2} & 3.22 & \multicolumn{1}{c|}{8} & 2.38 \\ \hline + \multicolumn{1}{|c|}{14} & 2.73 & \multicolumn{1}{c|}{3} & 3.22 & \multicolumn{1}{c|}{10} & 2.38 \\ \hline + \multicolumn{1}{|c|}{25} & 2.73 & \multicolumn{1}{c|}{7} & 3.22 & \multicolumn{1}{c|}{7} & 1.19 \\ \hline + \multicolumn{1}{|c|}{38} & 2.73 & \multicolumn{1}{c|}{5} & 2.39 & \multicolumn{1}{c|}{11} & 1.19 \\ \hline + \multicolumn{1}{|c|}{2} & 2.27 & \multicolumn{1}{c|}{6} & 2.39 & \multicolumn{1}{c|}{19} & 1.19 \\ \hline + \multicolumn{1}{|c|}{3} & 2.27 & \multicolumn{1}{c|}{8} & 2.39 & \multicolumn{1}{c|}{21} & 1.19 \\ \hline + \multicolumn{1}{|c|}{5} & 2.12 & \multicolumn{1}{c|}{10} & 2.39 & \multicolumn{1}{c|}{5} & 0.00 \\ \hline + \multicolumn{1}{|c|}{6} & 2.12 & \multicolumn{1}{c|}{14} & 2.39 & \multicolumn{1}{c|}{6} & 0.00 \\ \hline + \multicolumn{1}{|c|}{8} & 2.12 & \multicolumn{1}{c|}{19} & 2.39 & \multicolumn{1}{c|}{9} & 0.00 \\ \hline + \multicolumn{1}{|c|}{10} & 2.12 & \multicolumn{1}{c|}{21} & 2.39 & \multicolumn{1}{c|}{12} & 0.00 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with K-path Edge Centrality} + \caption{Top 15 PCI DSS Nodes with K-path Edge Centrality} \label{table:pci-kpe} - \end{table} +\end{table} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline + + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{55} & 0.18443558 & \multicolumn{1}{|c|}{55} & 0.226570132 & \multicolumn{1}{|c|}{33} & 0.04233607 \\ \hline - \multicolumn{1}{|c|}{59} & 0.18084037 & \multicolumn{1}{|c|}{59} & 0.226570132 & \multicolumn{1}{|c|}{35} & 0.04233607 \\ \hline - \multicolumn{1}{|c|}{60} & 0.17618635 & \multicolumn{1}{|c|}{60} & 0.226570132 & \multicolumn{1}{|c|}{22} & 0.03508347 \\ \hline - \multicolumn{1}{|c|}{43} & 0.03052713 & \multicolumn{1}{|c|}{43} & 0.020661622 & \multicolumn{1}{|c|}{19} & 0.0342364 \\ \hline - \multicolumn{1}{|c|}{52} & 0.02771085 & \multicolumn{1}{|c|}{52} & 0.020661622 & \multicolumn{1}{|c|}{21} & 0.0342364 \\ \hline - \multicolumn{1}{|c|}{56} & 0.02561868 & \multicolumn{1}{|c|}{56} & 0.020661622 & \multicolumn{1}{|c|}{11} & 0.02570392 \\ \hline - \multicolumn{1}{|c|}{26} & 0.02106378 & \multicolumn{1}{|c|}{44} & 0.011922406 & \multicolumn{1}{|c|}{18} & 0.02570392 \\ \hline - \multicolumn{1}{|c|}{39} & 0.01874426 & \multicolumn{1}{|c|}{45} & 0.011922406 & \multicolumn{1}{|c|}{8} & 0.02470738 \\ \hline - \multicolumn{1}{|c|}{48} & 0.01726353 & \multicolumn{1}{|c|}{53} & 0.011922406 & \multicolumn{1}{|c|}{10} & 0.02470738 \\ \hline - \multicolumn{1}{|c|}{44} & 0.01305759 & \multicolumn{1}{|c|}{54} & 0.011922406 & \multicolumn{1}{|c|}{4} & 0.01466916 \\ \hline - \multicolumn{1}{|c|}{45} & 0.01305759 & \multicolumn{1}{|c|}{57} & 0.011922406 & \multicolumn{1}{|c|}{7} & 0.01466916 \\ \hline - \multicolumn{1}{|c|}{53} & 0.01156941 & \multicolumn{1}{|c|}{58} & 0.011922406 & \multicolumn{1}{|c|}{14} & 0.01466916 \\ \hline - \multicolumn{1}{|c|}{54} & 0.01156941 & \multicolumn{1}{|c|}{26} & 0.008406702 & \multicolumn{1}{|c|}{25} & 0.01466916 \\ \hline - \multicolumn{1}{|c|}{57} & 0.01073539 & \multicolumn{1}{|c|}{39} & 0.008406702 & \multicolumn{1}{|c|}{29} & 0.01466916 \\ \hline - \multicolumn{1}{|c|}{58} & 0.01073539 & \multicolumn{1}{|c|}{48} & 0.008406702 & \multicolumn{1}{|c|}{38} & 0.01466916 \\ \hline + + \multicolumn{1}{|c|}{55} & 18.44 & \multicolumn{1}{c|}{55} & 22.66 & \multicolumn{1}{c|}{33} & 4.23 \\ \hline + \multicolumn{1}{|c|}{59} & 18.08 & \multicolumn{1}{c|}{59} & 22.66 & \multicolumn{1}{c|}{35} & 4.23 \\ \hline + \multicolumn{1}{|c|}{60} & 17.62 & \multicolumn{1}{c|}{60} & 22.66 & \multicolumn{1}{c|}{22} & 3.51 \\ \hline + \multicolumn{1}{|c|}{43} & 3.05 & \multicolumn{1}{c|}{43} & 2.07 & \multicolumn{1}{c|}{19} & 3.42 \\ \hline + \multicolumn{1}{|c|}{52} & 2.77 & \multicolumn{1}{c|}{52} & 2.07 & \multicolumn{1}{c|}{21} & 3.42 \\ \hline + \multicolumn{1}{|c|}{56} & 2.56 & \multicolumn{1}{c|}{56} & 2.07 & \multicolumn{1}{c|}{11} & 2.57 \\ \hline + \multicolumn{1}{|c|}{26} & 2.11 & \multicolumn{1}{c|}{44} & 1.19 & \multicolumn{1}{c|}{18} & 2.57 \\ \hline + \multicolumn{1}{|c|}{39} & 1.87 & \multicolumn{1}{c|}{45} & 1.19 & \multicolumn{1}{c|}{8} & 2.47 \\ \hline + \multicolumn{1}{|c|}{48} & 1.73 & \multicolumn{1}{c|}{53} & 1.19 & \multicolumn{1}{c|}{10} & 2.47 \\ \hline + \multicolumn{1}{|c|}{44} & 1.31 & \multicolumn{1}{c|}{54} & 1.19 & \multicolumn{1}{c|}{4} & 1.47 \\ \hline + \multicolumn{1}{|c|}{45} & 1.31 & \multicolumn{1}{c|}{57} & 1.19 & \multicolumn{1}{c|}{7} & 1.47 \\ \hline + \multicolumn{1}{|c|}{53} & 1.16 & \multicolumn{1}{c|}{58} & 1.19 & \multicolumn{1}{c|}{14} & 1.47 \\ \hline + \multicolumn{1}{|c|}{54} & 1.16 & \multicolumn{1}{c|}{26} & 0.84 & \multicolumn{1}{c|}{25} & 1.47 \\ \hline + \multicolumn{1}{|c|}{57} & 1.07 & \multicolumn{1}{c|}{39} & 0.84 & \multicolumn{1}{c|}{29} & 1.47 \\ \hline + \multicolumn{1}{|c|}{58} & 1.07 & \multicolumn{1}{c|}{48} & 0.84 & \multicolumn{1}{c|}{38} & 1.47 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with PageRank Centrality} + \caption{Top 15 PCI DSS Nodes with PageRank Centrality} \label{table:pci-PR} - \end{table} +\end{table} \begin{table}[] \centering + \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline + \multicolumn{2}{|c|}{\textbf{Base}} & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline - \multicolumn{1}{|c|}{43} & 64.49143 & \multicolumn{1}{|c|}{0} & 0 & \multicolumn{1}{|c|}{1} & 11 \\ \hline - \multicolumn{1}{|c|}{27} & 61.97619 & \multicolumn{1}{|c|}{1} & 0 & \multicolumn{1}{|c|}{4} & 4 \\ \hline - \multicolumn{1}{|c|}{28} & 61.97619 & \multicolumn{1}{|c|}{2} & 0 & \multicolumn{1}{|c|}{8} & 4 \\ \hline - \multicolumn{1}{|c|}{26} & 60.86429 & \multicolumn{1}{|c|}{3} & 0 & \multicolumn{1}{|c|}{10} & 4 \\ \hline - \multicolumn{1}{|c|}{12} & 59.55619 & \multicolumn{1}{|c|}{4} & 0 & \multicolumn{1}{|c|}{2} & 3 \\ \hline - \multicolumn{1}{|c|}{13} & 59.55619 & \multicolumn{1}{|c|}{5} & 0 & \multicolumn{1}{|c|}{3} & 3 \\ \hline - \multicolumn{1}{|c|}{52} & 55.55238 & \multicolumn{1}{|c|}{6} & 0 & \multicolumn{1}{|c|}{11} & 3 \\ \hline - \multicolumn{1}{|c|}{14} & 55.4427 & \multicolumn{1}{|c|}{7} & 0 & \multicolumn{1}{|c|}{19} & 3 \\ \hline - \multicolumn{1}{|c|}{40} & 50.46952 & \multicolumn{1}{|c|}{8} & 0 & \multicolumn{1}{|c|}{21} & 3 \\ \hline - \multicolumn{1}{|c|}{41} & 50.46952 & \multicolumn{1}{|c|}{9} & 0 & \multicolumn{1}{|c|}{7} & 2 \\ \hline - \multicolumn{1}{|c|}{39} & 50.04095 & \multicolumn{1}{|c|}{10} & 0 & \multicolumn{1}{|c|}{0} & 0 \\ \hline - \multicolumn{1}{|c|}{23} & 45.18071 & \multicolumn{1}{|c|}{11} & 0 & \multicolumn{1}{|c|}{5} & 0 \\ \hline - \multicolumn{1}{|c|}{24} & 45.18071 & \multicolumn{1}{|c|}{12} & 0 & \multicolumn{1}{|c|}{6} & 0 \\ \hline - \multicolumn{1}{|c|}{4} & 42.77794 & \multicolumn{1}{|c|}{13} & 0 & \multicolumn{1}{|c|}{9} & 0 \\ \hline - \multicolumn{1}{|c|}{56} & 42.31905 & \multicolumn{1}{|c|}{14} & 0 & \multicolumn{1}{|c|}{12} & 0 \\ \hline + + \multicolumn{1}{|c|}{43} & 3.53 & \multicolumn{1}{c|}{0} & 0 & \multicolumn{1}{c|}{1} & 27.50 \\ \hline + \multicolumn{1}{|c|}{27} & 3.39 & \multicolumn{1}{c|}{1} & 0 & \multicolumn{1}{c|}{4} & 10.00 \\ \hline + \multicolumn{1}{|c|}{28} & 3.39 & \multicolumn{1}{c|}{2} & 0 & \multicolumn{1}{c|}{8} & 10.00 \\ \hline + \multicolumn{1}{|c|}{26} & 3.33 & \multicolumn{1}{c|}{3} & 0 & \multicolumn{1}{c|}{10} & 10.00 \\ \hline + \multicolumn{1}{|c|}{12} & 3.26 & \multicolumn{1}{c|}{4} & 0 & \multicolumn{1}{c|}{2} & 7.50 \\ \hline + \multicolumn{1}{|c|}{13} & 3.26 & \multicolumn{1}{c|}{5} & 0 & \multicolumn{1}{c|}{3} & 7.50 \\ \hline + \multicolumn{1}{|c|}{52} & 3.04 & \multicolumn{1}{c|}{6} & 0 & \multicolumn{1}{c|}{11} & 7.50 \\ \hline + \multicolumn{1}{|c|}{14} & 3.03 & \multicolumn{1}{c|}{7} & 0 & \multicolumn{1}{c|}{19} & 7.50 \\ \hline + \multicolumn{1}{|c|}{40} & 2.76 & \multicolumn{1}{c|}{8} & 0 & \multicolumn{1}{c|}{21} & 7.50 \\ \hline + \multicolumn{1}{|c|}{41} & 2.76 & \multicolumn{1}{c|}{9} & 0 & \multicolumn{1}{c|}{7} & 5.00 \\ \hline + \multicolumn{1}{|c|}{39} & 2.74 & \multicolumn{1}{c|}{10} & 0 & \multicolumn{1}{c|}{0} & 0.00 \\ \hline + \multicolumn{1}{|c|}{23} & 2.47 & \multicolumn{1}{c|}{11} & 0 & \multicolumn{1}{c|}{5} & 0.00 \\ \hline + \multicolumn{1}{|c|}{24} & 2.47 & \multicolumn{1}{c|}{12} & 0 & \multicolumn{1}{c|}{6} & 0.00 \\ \hline + \multicolumn{1}{|c|}{4} & 2.34 & \multicolumn{1}{c|}{13} & 0 & \multicolumn{1}{c|}{9} & 0.00 \\ \hline + \multicolumn{1}{|c|}{56} & 2.32 & \multicolumn{1}{c|}{14} & 0 & \multicolumn{1}{c|}{12} & 0.00 \\ \hline + \end{tabular} - \caption{Top 15 Nodes with Betweenness Centrality} + \caption{Top 15 PCI DSS Nodes with Betweenness Centrality} \label{table:pci-btwn} - \end{table} \ No newline at end of file +\end{table} \ No newline at end of file diff --git a/Schrick-Noah_CG-Network_Theory.pdf b/Schrick-Noah_CG-Network_Theory.pdf new file mode 100644 index 0000000..7ea81cd Binary files /dev/null and b/Schrick-Noah_CG-Network_Theory.pdf differ diff --git a/Schrick-Noah_CS-7863_Final-Report.aux b/Schrick-Noah_CS-7863_Final-Report.aux index 525d24b..71f71c5 100644 --- a/Schrick-Noah_CS-7863_Final-Report.aux +++ b/Schrick-Noah_CS-7863_Final-Report.aux @@ -96,7 +96,7 @@ \bibcite{allman_complying_2006}{5} \bibcite{newman2010networks}{6} \bibcite{Mieghem2018DirectedGA}{7} -\bibcite{ming_diss}{8} +\bibcite{10.1145/3491257}{8} \bibcite{Guo2017HermitianAM}{9} \bibcite{Brualdi2010SpectraOD}{10} \bibcite{noauthor_health_1996}{11} @@ -116,4 +116,4 @@ \@writefile{toc}{\contentsline {section}{Bibliography}{7}{subsection.8.2}\protected@file@percent } \@writefile{toc}{\contentsline {section}{References}{7}{section*.4}\protected@file@percent } \@input{Appendices.aux} -\gdef \@abspage@last{12} +\gdef \@abspage@last{10} diff --git a/Schrick-Noah_CS-7863_Final-Report.bbl b/Schrick-Noah_CS-7863_Final-Report.bbl index 2809126..081a1c4 100644 --- a/Schrick-Noah_CS-7863_Final-Report.bbl +++ b/Schrick-Noah_CS-7863_Final-Report.bbl @@ -33,9 +33,10 @@ M.~Newman, {\em Networks: An Introduction}. \bibitem{Mieghem2018DirectedGA} P.~V. Mieghem, ``Directed graphs and mysterious complex eigenvalues,'' 2018. -\bibitem{ming_diss} -M.~Li, {\em {A} {System} for {Attack} {Graph} {Generation} and {Analysis}}. -\newblock PhD thesis, The {University} of {Tulsa}, 2021. +\bibitem{10.1145/3491257} +M.~Li, P.~Hawrylak, and J.~Hale, ``Strategies for practical hybrid attack graph + generation and analysis,'' {\em Digital Threats}, oct 2021. +\newblock Just Accepted. \bibitem{Guo2017HermitianAM} K.~Guo and B.~Mohar, ``Hermitian adjacency matrix of digraphs and mixed diff --git a/Schrick-Noah_CS-7863_Final-Report.blg b/Schrick-Noah_CS-7863_Final-Report.blg index a9f4038..5fa8b3f 100644 --- a/Schrick-Noah_CS-7863_Final-Report.blg +++ b/Schrick-Noah_CS-7863_Final-Report.blg @@ -2,32 +2,33 @@ This is BibTeX, Version 0.99d (TeX Live 2022/Arch Linux) Capacity: max_strings=200000, hash_size=200000, hash_prime=170003 The top-level auxiliary file: Schrick-Noah_CS-7863_Final-Report.aux The style file: ieeetr.bst +A level-1 auxiliary file: Appendices.aux Database file #1: Bibliography.bib Warning--empty booktitle in Mieghem2018DirectedGA Warning--empty journal in zeng_cyber_2017 You've used 20 entries, 1876 wiz_defined-function locations, - 600 strings with 6995 characters, -and the built_in function-call counts, 4345 in all, are: + 601 strings with 7015 characters, +and the built_in function-call counts, 4391 in all, are: = -- 431 -> -- 146 +> -- 153 < -- 0 -+ -- 59 -- -- 39 -* -- 272 -:= -- 621 ++ -- 61 +- -- 41 +* -- 281 +:= -- 628 add.period$ -- 26 call.type$ -- 20 -change.case$ -- 18 +change.case$ -- 19 chr.to.int$ -- 0 cite$ -- 22 -duplicate$ -- 241 -empty$ -- 445 -format.name$ -- 39 -if$ -- 1078 +duplicate$ -- 242 +empty$ -- 449 +format.name$ -- 41 +if$ -- 1088 int.to.chr$ -- 0 int.to.str$ -- 20 -missing$ -- 17 +missing$ -- 18 newline$ -- 71 num.names$ -- 19 pop$ -- 78 diff --git a/Schrick-Noah_CS-7863_Final-Report.log b/Schrick-Noah_CS-7863_Final-Report.log index 21ad6f8..01bdc69 100644 --- a/Schrick-Noah_CS-7863_Final-Report.log +++ b/Schrick-Noah_CS-7863_Final-Report.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Arch Linux) (preloaded format=pdflatex 2022.4.29) 18 OCT 2022 14:14 +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Arch Linux) (preloaded format=pdflatex 2022.4.29) 19 OCT 2022 16:37 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -568,11 +568,6 @@ Underfull \hbox (badness 1466) in paragraph at lines 84--85 ] - -LaTeX Warning: Citation `10.1145/3491257' on page 2 undefined on input line 87. - - - Underfull \hbox (badness 2035) in paragraph at lines 87--88 []\OT1/ptm/m/n/10 The author of [[]] presents three centrality measures [] @@ -623,13 +618,13 @@ Overfull \hbox (28.88863pt too wide) in paragraph at lines 169--169 a.org/wiki/File:Transitive- [] -<./images/Transitive-closure.png, id=188, 1927.2pt x 1027.84pt> +<./images/Transitive-closure.png, id=190, 1927.2pt x 1027.84pt> File: ./images/Transitive-closure.png Graphic file (type png) Package pdftex.def Info: ./images/Transitive-closure.png used on input line 17 3. 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LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 303. - - -Overfull \hbox (26.28867pt too wide) in paragraph at lines 306--395 - [][] - [] + Default added (so using `tbp') on input line 239. LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 399. + Default added (so using `tbp') on input line 272. LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 495. + Default added (so using `tbp') on input line 305. LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 592. + Default added (so using `tbp') on input line 338. -Underfull \hbox (badness 10000) in paragraph at lines 689--690 +Underfull \hbox (badness 10000) in paragraph at lines 372--373 []\OT1/ptm/m/n/10 When viewing the results of the car networks, [] -Underfull \hbox (badness 1997) in paragraph at lines 689--690 +Underfull \hbox (badness 1997) in paragraph at lines 372--373 \OT1/ptm/m/n/10 based on additional metrics, such as severity, cost, or [] @@ -691,37 +681,37 @@ Underfull \hbox (badness 1997) in paragraph at lines 689--690 Underfull \vbox (badness 1024) has occurred while \output is active [] [5 <./images/pre-Dtree.png> <./images/post-Dtree.png>] -Underfull \hbox (badness 3428) in paragraph at lines 691--692 +Underfull \hbox (badness 3428) in paragraph at lines 374--375 \OT1/ptm/m/n/10 their original compliance graph rankings. As expected [] -Underfull \hbox (badness 1789) in paragraph at lines 693--694 +Underfull \hbox (badness 1789) in paragraph at lines 376--377 []\OT1/ptm/m/n/10 For the dominant tree representation, it was initially [] -Underfull \hbox (badness 3009) in paragraph at lines 693--694 +Underfull \hbox (badness 3009) in paragraph at lines 376--377 \OT1/ptm/m/n/10 hypothesized that nodes ranked highly in the original [] -Underfull \hbox (badness 2781) in paragraph at lines 697--698 +Underfull \hbox (badness 2781) in paragraph at lines 380--381 \OT1/ptm/m/n/10 prior knowledge of the network and the overhead of [] -Underfull \hbox (badness 1442) in paragraph at lines 697--698 +Underfull \hbox (badness 1442) in paragraph at lines 380--381 \OT1/ptm/m/n/10 implementing correction measures. In addition, transitive [] -Underfull \hbox (badness 1354) in paragraph at lines 697--698 +Underfull \hbox (badness 1354) in paragraph at lines 380--381 \OT1/ptm/m/n/10 closure representations and dominant trees were derived [] -Underfull \hbox (badness 2269) in paragraph at lines 697--698 +Underfull \hbox (badness 2269) in paragraph at lines 380--381 \OT1/ptm/m/n/10 determining which nodes are most important when an [] @@ -729,7 +719,7 @@ Underfull \hbox (badness 2269) in paragraph at lines 697--698 Underfull \vbox (badness 10000) has occurred while \output is active [] [6] -Underfull \hbox (badness 2591) in paragraph at lines 700--701 +Underfull \hbox (badness 2591) in paragraph at lines 383--384 \OT1/ptm/m/n/10 different networks along with various node importance [] @@ -739,33 +729,33 @@ Underfull \hbox (badness 1442) in paragraph at lines 19--24 [] -Underfull \hbox (badness 3148) in paragraph at lines 45--47 +Underfull \hbox (badness 3148) in paragraph at lines 46--48 []\OT1/ptm/m/n/8 R. A. Brualdi, ``Spectra of digraphs,'' \OT1/ptm/m/it/8 Linear Algebra and its [] -Underfull \hbox (badness 10000) in paragraph at lines 49--52 +Underfull \hbox (badness 10000) in paragraph at lines 50--53 []\OT1/ptm/m/n/8 ``Health Insurance Portability and Accountability Act of [] -Underfull \hbox (badness 10000) in paragraph at lines 49--52 +Underfull \hbox (badness 10000) in paragraph at lines 50--53 \OT1/ptm/m/n/8 1996.'' Pub. L. No. 104-191. 1996 [Online]. Available: [] -Underfull \hbox (badness 10000) in paragraph at lines 49--52 +Underfull \hbox (badness 10000) in paragraph at lines 50--53 \OT1/ptm/m/n/8 https://www.govinfo.gov/content/pkg/PLAW-104publ191/html/PLAW- [] -Underfull \hbox (badness 10000) in paragraph at lines 54--58 +Underfull \hbox (badness 10000) in paragraph at lines 55--59 []\OT1/ptm/m/n/8 P. S. S. Council, ``Payment Card Industry (PCI) [] -Underfull \hbox (badness 10000) in paragraph at lines 54--58 +Underfull \hbox (badness 10000) in paragraph at lines 55--59 \OT1/ptm/m/n/8 Data Security Standard,'' May 2018. Available: [] @@ -774,87 +764,60 @@ Underfull \hbox (badness 10000) in paragraph at lines 54--58 (./Appendices.tex ** WARNING: Ignoring useless \section in Appendix (line 3). -[8 - - -] LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 6. + Default added (so using `tbp') on input line 5. LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 32. + Default added (so using `tbp') on input line 34. -Overfull \hbox (42.75949pt too wide) in paragraph at lines 34--54 - [][] +LaTeX Warning: No positions in optional float specifier. + Default added (so using `tbp') on input line 63. + + +LaTeX Warning: No positions in optional float specifier. + Default added (so using `tbp') on input line 92. + + +LaTeX Warning: No positions in optional float specifier. + Default added (so using `tbp') on input line 121. + + +Underfull \hbox (badness 2932) in paragraph at lines 146--146 +[]\OT1/ptm/m/n/10 TABLE XI: |Top 15 HIPAA Nodes with Betweenness + [] + +** WARNING: Ignoring useless \section in Appendix (line 150). + +LaTeX Warning: No positions in optional float specifier. + Default added (so using `tbp') on input line 152. + + +LaTeX Warning: No positions in optional float specifier. + Default added (so using `tbp') on input line 181. + + +LaTeX Warning: No positions in optional float specifier. + Default added (so using `tbp') on input line 210. + + +LaTeX Warning: No positions in optional float specifier. + Default added (so using `tbp') on input line 239. + + +Underfull \hbox (badness 1990) in paragraph at lines 265--265 +[]\OT1/ptm/m/n/10 TABLE XV: |Top 15 PCI DSS Nodes with PageRank [] LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 58. + Default added (so using `tbp') on input line 269. +) [8 -LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 84. - - -Overfull \hbox (47.75949pt too wide) in paragraph at lines 86--106 - [][] - [] - - -LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 110. - - -Overfull \hbox (3.96829pt too wide) in paragraph at lines 112--132 - [][] - [] - -[9] [10 - - -] -** WARNING: Ignoring useless \section in Appendix (line 137). - -LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 139. - - -LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 166. - - -Overfull \hbox (32.75949pt too wide) in paragraph at lines 168--188 - [][] - [] - - -LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 192. - - -LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 218. - - -Overfull \hbox (37.75949pt too wide) in paragraph at lines 220--240 - [][] - [] - - -LaTeX Warning: No positions in optional float specifier. - Default added (so using `tbp') on input line 244. - - -Overfull \hbox (3.96829pt too wide) in paragraph at lines 246--266 - [][] - [] - -) [11] [12 - +] [9] [10 ] @@ -869,17 +832,14 @@ Before submitting the final camera ready copy, remember to: process uses the appropriate paper size. 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PDF statistics: - 344 PDF objects out of 1000 (max. 8388607) - 298 compressed objects within 3 object streams - 87 named destinations out of 1000 (max. 500000) + 337 PDF objects out of 1000 (max. 8388607) + 293 compressed objects within 3 object streams + 85 named destinations out of 1000 (max. 500000) 224 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/Schrick-Noah_CS-7863_Final-Report.pdf b/Schrick-Noah_CS-7863_Final-Report.pdf index df94791..7ea81cd 100644 Binary files a/Schrick-Noah_CS-7863_Final-Report.pdf and b/Schrick-Noah_CS-7863_Final-Report.pdf differ diff --git a/Schrick-Noah_CS-7863_Final-Report.tex b/Schrick-Noah_CS-7863_Final-Report.tex index 990e21d..460edcc 100644 --- a/Schrick-Noah_CS-7863_Final-Report.tex +++ b/Schrick-Noah_CS-7863_Final-Report.tex @@ -209,91 +209,27 @@ In this section, only results for the car network are displayed for brevity. The \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ + \multicolumn{2}{|c|}{\textbf{Base}} + & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} + & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline - \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - & \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - & \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - \\ \hline - - \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{11} - & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{2490} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{1246} - \\ \hline - - \multicolumn{1}{|c|}{346} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{2489} - & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{934} - \\ \hline - - \multicolumn{1}{|c|}{362} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{2487} - & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{156} - \\ \hline - - \multicolumn{1}{|c|}{370} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{2479} - & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{115} - \\ \hline - - \multicolumn{1}{|c|}{374} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{2463} - & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{31} - \\ \hline - - \multicolumn{1}{|c|}{376} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{2447} - & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{1} - \\ \hline - - \multicolumn{1}{|c|}{377} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{2431} - & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{1} - \\ \hline - - \multicolumn{1}{|c|}{378} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{2367} - & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{1} - \\ \hline - - - \multicolumn{1}{|c|}{379} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{2303} - & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{1} - \\ \hline - - \multicolumn{1}{|c|}{380} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{2239} - & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{1} - \\ \hline - - \multicolumn{1}{|c|}{381} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{2175} - & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{1} - \\ \hline - - \multicolumn{1}{|c|}{382} & \multicolumn{1}{|c|}{10} - & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{2111} - & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{1} - \\ \hline - - \multicolumn{1}{|c|}{398} & \multicolumn{1}{|c|}{9} - & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{2047} - & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{1} - \\ \hline - - \multicolumn{1}{|c|}{406} & \multicolumn{1}{|c|}{9} - & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{1244} - & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{0} - \\ \hline - - \multicolumn{1}{|c|}{410} & \multicolumn{1}{|c|}{9} - & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{1243} - & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{0} - \\ \hline + \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} \\ \hline + \multicolumn{1}{|c|}{314} & 0.08 & \multicolumn{1}{c|}{0} & 0.65 & \multicolumn{1}{c|}{1} & 50.04 \\ \hline + \multicolumn{1}{|c|}{346} & 0.08 & \multicolumn{1}{c|}{1} & 0.65 & \multicolumn{1}{c|}{3} & 37.51 \\ \hline + \multicolumn{1}{|c|}{362} & 0.08 & \multicolumn{1}{c|}{3} & 0.65 & \multicolumn{1}{c|}{7} & 6.27 \\ \hline + \multicolumn{1}{|c|}{370} & 0.08 & \multicolumn{1}{c|}{7} & 0.65 & \multicolumn{1}{c|}{42} & 4.62 \\ \hline + \multicolumn{1}{|c|}{374} & 0.08 & \multicolumn{1}{c|}{15} & 0.64 & \multicolumn{1}{c|}{314} & 1.24 \\ \hline + \multicolumn{1}{|c|}{376} & 0.08 & \multicolumn{1}{c|}{27} & 0.64 & \multicolumn{1}{c|}{0} & 0.04 \\ \hline + \multicolumn{1}{|c|}{377} & 0.08 & \multicolumn{1}{c|}{42} & 0.64 & \multicolumn{1}{c|}{15} & 0.04 \\ \hline + \multicolumn{1}{|c|}{378} & 0.08 & \multicolumn{1}{c|}{60} & 0.62 & \multicolumn{1}{c|}{27} & 0.04 \\ \hline + \multicolumn{1}{|c|}{379} & 0.08 & \multicolumn{1}{c|}{87} & 0.60 & \multicolumn{1}{c|}{60} & 0.04 \\ \hline + \multicolumn{1}{|c|}{380} & 0.08 & \multicolumn{1}{c|}{130} & 0.59 & \multicolumn{1}{c|}{87} & 0.04 \\ \hline + \multicolumn{1}{|c|}{381} & 0.08 & \multicolumn{1}{c|}{187} & 0.57 & \multicolumn{1}{c|}{130} & 0.04 \\ \hline + \multicolumn{1}{|c|}{382} & 0.08 & \multicolumn{1}{c|}{250} & 0.55 & \multicolumn{1}{c|}{187} & 0.04 \\ \hline + \multicolumn{1}{|c|}{398} & 0.07 & \multicolumn{1}{c|}{314} & 0.54 & \multicolumn{1}{c|}{250} & 0.04 \\ \hline + \multicolumn{1}{|c|}{406} & 0.07 & \multicolumn{1}{c|}{2} & 0.33 & \multicolumn{1}{c|}{2} & 0.00 \\ \hline + \multicolumn{1}{|c|}{410} & 0.07 & \multicolumn{1}{c|}{4} & 0.33 & \multicolumn{1}{c|}{4} & 0.00 \\ \hline \end{tabular} \caption{Top 15 Nodes with Degree Centrality} @@ -306,90 +242,27 @@ In this section, only results for the car network are displayed for brevity. The \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} + \multicolumn{2}{|c|}{\textbf{Base}} + & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} + & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline - \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - & \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - & \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - \\ \hline - - \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{0.002459349} - & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{74.447935} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{0.0542337315} - \\ \hline - - \multicolumn{1}{|c|}{377} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{67.679941} - & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{0.0385235854} - \\ \hline - - \multicolumn{1}{|c|}{346} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{60.55317} - & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{0.0066730273} - \\ \hline - - \multicolumn{1}{|c|}{376} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{51.894146} - & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{0.0058248184} - \\ \hline - - \multicolumn{1}{|c|}{374} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{43.13118} - & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{0.0050225267} - \\ \hline - - \multicolumn{1}{|c|}{378} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{35.752083} - & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{0.0016459253} - \\ \hline - - \multicolumn{1}{|c|}{380} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{29.550411} - & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{0.0009036979} - \\ \hline - - \multicolumn{1}{|c|}{381} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{22.205831} - & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{0.0005660377} - \\ \hline - - \multicolumn{1}{|c|}{382} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{16.522142} - & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{0.000491815} - \\ \hline - - \multicolumn{1}{|c|}{262} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{12.155237} - & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{0.000458049} - \\ \hline - - \multicolumn{1}{|c|}{370} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{10.714534} - & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{0.0004472501} - \\ \hline - - \multicolumn{1}{|c|}{379} & \multicolumn{1}{|c|}{0.001870821} - & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{9.740485} - & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{0.0004461702} - \\ \hline - - \multicolumn{1}{|c|}{418} &\multicolumn{1}{|c|}{0.001469376} - & \multicolumn{1}{|c|}{5} & \multicolumn{1}{|c|}{9.740485} - & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{0.0004460622} - \\ \hline - - \multicolumn{1}{|c|}{459} & \multicolumn{1}{|c|}{0.001469376} - & \multicolumn{1}{|c|}{6} & \multicolumn{1}{|c|}{9.740485} - & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{0.0004014452} - \\ \hline - - \multicolumn{1}{|c|}{467} & \multicolumn{1}{|c|}{0.001469376} - & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{8.82693} - & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{0.0004014452} - \\ \hline + \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} \\ \hline + \multicolumn{1}{|c|}{314} & 0.13 & \multicolumn{1}{c|}{0} & 9.09 & \multicolumn{1}{c|}{1} & 4.88 \\ \hline + \multicolumn{1}{|c|}{377} & 0.10 & \multicolumn{1}{c|}{1} & 8.26 & \multicolumn{1}{c|}{3} & 3.47 \\ \hline + \multicolumn{1}{|c|}{346} & 0.10 & \multicolumn{1}{c|}{3} & 7.39 & \multicolumn{1}{c|}{7} & 0.60 \\ \hline + \multicolumn{1}{|c|}{376} & 0.10 & \multicolumn{1}{c|}{7} & 6.34 & \multicolumn{1}{c|}{0} & 0.52 \\ \hline + \multicolumn{1}{|c|}{374} & 0.10 & \multicolumn{1}{c|}{15} & 5.27 & \multicolumn{1}{c|}{42} & 0.45 \\ \hline + \multicolumn{1}{|c|}{378} & 0.10 & \multicolumn{1}{c|}{27} & 4.37 & \multicolumn{1}{c|}{314} & 0.15 \\ \hline + \multicolumn{1}{|c|}{380} & 0.10 & \multicolumn{1}{c|}{42} & 3.61 & \multicolumn{1}{c|}{27} & 0.08 \\ \hline + \multicolumn{1}{|c|}{381} & 0.10 & \multicolumn{1}{c|}{60} & 2.71 & \multicolumn{1}{c|}{250} & 0.05 \\ \hline + \multicolumn{1}{|c|}{382} & 0.10 & \multicolumn{1}{c|}{87} & 2.02 & \multicolumn{1}{c|}{15} & 0.04 \\ \hline + \multicolumn{1}{|c|}{262} & 0.10 & \multicolumn{1}{c|}{130} & 1.48 & \multicolumn{1}{c|}{187} & 0.04 \\ \hline + \multicolumn{1}{|c|}{370} & 0.10 & \multicolumn{1}{c|}{2} & 1.31 & \multicolumn{1}{c|}{130} & 0.04 \\ \hline + \multicolumn{1}{|c|}{379} & 0.10 & \multicolumn{1}{c|}{4} & 1.19 & \multicolumn{1}{c|}{87} & 0.04 \\ \hline + \multicolumn{1}{|c|}{418} & 0.08 & \multicolumn{1}{c|}{5} & 1.19 & \multicolumn{1}{c|}{60} & 0.04 \\ \hline + \multicolumn{1}{|c|}{459} & 0.08 & \multicolumn{1}{c|}{6} & 1.19 & \multicolumn{1}{c|}{2} & 0.04 \\ \hline + \multicolumn{1}{|c|}{467} & 0.08 & \multicolumn{1}{c|}{187} & 1.08 & \multicolumn{1}{c|}{4} & 0.04 \\ \hline \end{tabular} \caption{Top 15 Nodes with Katz Centrality} @@ -402,91 +275,28 @@ In this section, only results for the car network are displayed for brevity. The \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} + \multicolumn{2}{|c|}{\textbf{Base}} + & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} + & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline - \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - & \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - & \multicolumn{1}{|c|}{\textbf{Node}} & \multicolumn{1}{|c|}{\textbf{Value}} - \\ \hline - - \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{231} - & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{2490} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{2336} - \\ \hline + \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} \\ \hline + \multicolumn{1}{|c|}{314} & 0.25 & \multicolumn{1}{c|}{0} & 0.65 & \multicolumn{1}{c|}{1} & 37.54 \\ \hline + \multicolumn{1}{|c|}{346} & 0.19 & \multicolumn{1}{c|}{1} & 0.39 & \multicolumn{1}{c|}{0} & 35.05 \\ \hline + \multicolumn{1}{|c|}{362} & 0.19 & \multicolumn{1}{c|}{3} & 0.65 & \multicolumn{1}{c|}{3} & 17.53 \\ \hline + \multicolumn{1}{|c|}{370} & 0.19 & \multicolumn{1}{c|}{7} & 0.65 & \multicolumn{1}{c|}{7} & 2.54 \\ \hline + \multicolumn{1}{|c|}{374} & 0.19 & \multicolumn{1}{c|}{15} & 0.64 & \multicolumn{1}{c|}{15} & 1.88 \\ \hline + \multicolumn{1}{|c|}{376} & 0.19 & \multicolumn{1}{c|}{27} & 0.64 & \multicolumn{1}{c|}{27} & 1.88 \\ \hline + \multicolumn{1}{|c|}{377} & 0.19 & \multicolumn{1}{c|}{42} & 0.64 & \multicolumn{1}{c|}{42} & 1.88 \\ \hline + \multicolumn{1}{|c|}{378} & 0.19 & \multicolumn{1}{c|}{60} & 0.62 & \multicolumn{1}{c|}{187} & 0.53 \\ \hline + \multicolumn{1}{|c|}{379} & 0.19 & \multicolumn{1}{c|}{87} & 0.60 & \multicolumn{1}{c|}{250} & 0.51 \\ \hline + \multicolumn{1}{|c|}{380} & 0.19 & \multicolumn{1}{c|}{130} & 0.59 & \multicolumn{1}{c|}{314} & 0.50 \\ \hline + \multicolumn{1}{|c|}{381} & 0.19 & \multicolumn{1}{c|}{187} & 0.57 & \multicolumn{1}{c|}{60} & 0.05 \\ \hline + \multicolumn{1}{|c|}{382} & 0.19 & \multicolumn{1}{c|}{250} & 0.55 & \multicolumn{1}{c|}{86} & 0.05 \\ \hline + \multicolumn{1}{|c|}{398} & 0.14 & \multicolumn{1}{c|}{314} & 0.54 & \multicolumn{1}{c|}{130} & 0.05 \\ \hline + \multicolumn{1}{|c|}{406} & 0.14 & \multicolumn{1}{c|}{2} & 0.33 & \multicolumn{1}{c|}{2} & 0.00 \\ \hline + \multicolumn{1}{|c|}{410} & 0.14 & \multicolumn{1}{c|}{4} & 0.33 & \multicolumn{1}{c|}{4} & 0.00 \\ \hline - \multicolumn{1}{|c|}{346} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{1489} - & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{2181} - \\ \hline - - \multicolumn{1}{|c|}{362} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{2487} - & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{1091} - \\ \hline - - \multicolumn{1}{|c|}{370} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{2479} - & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{158} - \\ \hline - - \multicolumn{1}{|c|}{374} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{2463} - & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{117} - \\ \hline - - \multicolumn{1}{|c|}{376} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{2447} - & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{117} - \\ \hline - - \multicolumn{1}{|c|}{377} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{2431} - & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{117} - \\ \hline - - \multicolumn{1}{|c|}{378} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{2367} - & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{33} - \\ \hline - - \multicolumn{1}{|c|}{379} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{2303} - & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{32} - \\ \hline - - \multicolumn{1}{|c|}{380} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{2239} - & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{31} - \\ \hline - - \multicolumn{1}{|c|}{381} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{2175} - & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{3} - \\ \hline - - \multicolumn{1}{|c|}{382} & \multicolumn{1}{|c|}{175} - & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{2111} - & \multicolumn{1}{|c|}{86} & \multicolumn{1}{|c|}{3} - \\ \hline - - \multicolumn{1}{|c|}{398} & \multicolumn{1}{|c|}{129} - & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{2047} - & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{3} - \\ \hline - - \multicolumn{1}{|c|}{406} & \multicolumn{1}{|c|}{129} - & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{1244} - & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{0} - \\ \hline - - \multicolumn{1}{|c|}{410} & \multicolumn{1}{|c|}{129} - & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{1243} - & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{0} - \\ \hline - \end{tabular} \caption{Top 15 Nodes with K-path Edge Centrality} \label{table:car-kpe} @@ -498,188 +308,61 @@ In this section, only results for the car network are displayed for brevity. The \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} + \multicolumn{2}{|c|}{\textbf{Base}} + & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} + & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline - \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} - & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} - & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} - \\ \hline + \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} \\ \hline + \multicolumn{1}{|c|}{2490} & 8.27 & \multicolumn{1}{c|}{2490} & 19.92 & \multicolumn{1}{c|}{314} & 0.17 \\ \hline + \multicolumn{1}{|c|}{1004} & 1.06 & \multicolumn{1}{c|}{2479} & 1.58 & \multicolumn{1}{c|}{250} & 0.15 \\ \hline + \multicolumn{1}{|c|}{1467} & 0.97 & \multicolumn{1}{c|}{2480} & 1.58 & \multicolumn{1}{c|}{187} & 0.13 \\ \hline + \multicolumn{1}{|c|}{2479} & 0.95 & \multicolumn{1}{c|}{2481} & 1.58 & \multicolumn{1}{c|}{130} & 0.10 \\ \hline + \multicolumn{1}{|c|}{2480} & 0.95 & \multicolumn{1}{c|}{2482} & 1.58 & \multicolumn{1}{c|}{42} & 0.10 \\ \hline + \multicolumn{1}{|c|}{2481} & 0.95 & \multicolumn{1}{c|}{2483} & 1.58 & \multicolumn{1}{c|}{87} & 0.07 \\ \hline + \multicolumn{1}{|c|}{2482} & 0.95 & \multicolumn{1}{c|}{2484} & 1.4 & \multicolumn{1}{c|}{27} & 0.07 \\ \hline + \multicolumn{1}{|c|}{2483} & 0.95 & \multicolumn{1}{c|}{2485} & 1.4 & \multicolumn{1}{c|}{1} & 0.07 \\ \hline + \multicolumn{1}{|c|}{667} & 0.92 & \multicolumn{1}{c|}{2486} & 1.39 & \multicolumn{1}{c|}{378} & 0.04 \\ \hline + \multicolumn{1}{|c|}{2484} & 0.83 & \multicolumn{1}{c|}{2487} & 1.39 & \multicolumn{1}{c|}{379} & 0.04 \\ \hline + \multicolumn{1}{|c|}{2485} & 0.83 & \multicolumn{1}{c|}{2488} & 1.39 & \multicolumn{1}{c|}{380} & 0.04 \\ \hline + \multicolumn{1}{|c|}{2486} & 0.83 & \multicolumn{1}{c|}{2489} & 1.39 & \multicolumn{1}{c|}{381} & 0.04 \\ \hline + \multicolumn{1}{|c|}{2487} & 0.83 & \multicolumn{1}{c|}{2424} & 0.29 & \multicolumn{1}{c|}{382} & 0.04 \\ \hline + \multicolumn{1}{|c|}{2488} & 0.83 & \multicolumn{1}{c|}{2425} & 0.29 & \multicolumn{1}{c|}{470} & 0.04 \\ \hline + \multicolumn{1}{|c|}{2489} & 0.83 & \multicolumn{1}{c|}{2426} & 0.29 & \multicolumn{1}{c|}{471} & 0.04 \\ \hline - \multicolumn{1}{|c|}{2490} & \multicolumn{1}{|c|}{0.0827} - & \multicolumn{1}{|c|}{2490} & \multicolumn{1}{|c|}{0.1992} - & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{0.001655} - \\ \hline - - \multicolumn{1}{|c|}{1004} & \multicolumn{1}{|c|}{0.01506} - & \multicolumn{1}{|c|}{2479} & \multicolumn{1}{|c|}{0.0158} - & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{0.001479} - \\ \hline - - \multicolumn{1}{|c|}{1467} & \multicolumn{1}{|c|}{0.00969} - & \multicolumn{1}{|c|}{2480} & \multicolumn{1}{|c|}{0.0158} - & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{0.001272} - \\ \hline - - \multicolumn{1}{|c|}{2479} & \multicolumn{1}{|c|}{0.00948} - & \multicolumn{1}{|c|}{2481} & \multicolumn{1}{|c|}{0.0158} - & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{0.001028} - \\ \hline - - \multicolumn{1}{|c|}{2480} & \multicolumn{1}{|c|}{0.00948} - & \multicolumn{1}{|c|}{2482} & \multicolumn{1}{|c|}{0.0158} - & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{0.001025} - \\ \hline - - \multicolumn{1}{|c|}{2481} & \multicolumn{1}{|c|}{0.00948} - & \multicolumn{1}{|c|}{2483} & \multicolumn{1}{|c|}{0.0158} - & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{0.00074} - \\ \hline - - \multicolumn{1}{|c|}{2482} & \multicolumn{1}{|c|}{0.00948} - & \multicolumn{1}{|c|}{2484} & \multicolumn{1}{|c|}{0.014} - & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{0.00074} - \\ \hline - - \multicolumn{1}{|c|}{2483} & \multicolumn{1}{|c|}{0.00948} - & \multicolumn{1}{|c|}{2485} & \multicolumn{1}{|c|}{0.014} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{0.00074} - \\ \hline - - \multicolumn{1}{|c|}{667} & \multicolumn{1}{|c|}{0.00919} - & \multicolumn{1}{|c|}{2486} & \multicolumn{1}{|c|}{0.0139} - & \multicolumn{1}{|c|}{378} & \multicolumn{1}{|c|}{0.00044} - \\ \hline - - \multicolumn{1}{|c|}{2484} & \multicolumn{1}{|c|}{0.0083} - & \multicolumn{1}{|c|}{2487} & \multicolumn{1}{|c|}{0.0139} - & \multicolumn{1}{|c|}{379} & \multicolumn{1}{|c|}{0.00044} - \\ \hline - - \multicolumn{1}{|c|}{2485} & \multicolumn{1}{|c|}{0.0083} - & \multicolumn{1}{|c|}{2488} & \multicolumn{1}{|c|}{0.0139} - & \multicolumn{1}{|c|}{380} & \multicolumn{1}{|c|}{0.00044} - \\ \hline - - \multicolumn{1}{|c|}{2486} & \multicolumn{1}{|c|}{0.0083} - & \multicolumn{1}{|c|}{2489} & \multicolumn{1}{|c|}{0.0139} - & \multicolumn{1}{|c|}{381} & \multicolumn{1}{|c|}{0.00044} - \\ \hline - - \multicolumn{1}{|c|}{2487} & \multicolumn{1}{|c|}{0.0083} - & \multicolumn{1}{|c|}{2424} & \multicolumn{1}{|c|}{0.0029} - & \multicolumn{1}{|c|}{382} & \multicolumn{1}{|c|}{0.00044} - \\ \hline - - \multicolumn{1}{|c|}{2488} & \multicolumn{1}{|c|}{0.0083} - & \multicolumn{1}{|c|}{2425} & \multicolumn{1}{|c|}{0.0029} - & \multicolumn{1}{|c|}{470} & \multicolumn{1}{|c|}{0.00044} - \\ \hline - - \multicolumn{1}{|c|}{2489} & \multicolumn{1}{|c|}{0.0083} - & \multicolumn{1}{|c|}{2426} & \multicolumn{1}{|c|}{0.0029} - & \multicolumn{1}{|c|}{471} & \multicolumn{1}{|c|}{0.00044} - \\ \hline - \end{tabular} \caption{Top 15 Nodes with PageRank Centrality} \label{table:car-APC} \end{table} - \begin{table}[] \centering \setlength\tabcolsep{4pt} \begin{tabular}{|cc|cc|cc|} \hline - \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} - & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} - \\ \hline - - \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} - & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} - & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} - \\ \hline - - \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{9067.205} - & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{2489} - \\ \hline - - \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{8442.166} - & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{2486} - \\ \hline - - \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{8279.62} - & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{927} - \\ \hline - - \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{7580.359} - & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{906} - \\ \hline - - \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{7578.523} - & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{760} - \\ \hline - - \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{6868.21} - & \multicolumn{1}{|c|}{5} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{612} - \\ \hline - - \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{6482.031} - & \multicolumn{1}{|c|}{6} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{372} - \\ \hline - - \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{6111.862} - & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{352} - \\ \hline - - \multicolumn{1}{|c|}{50} & \multicolumn{1}{|c|}{5950.928} - & \multicolumn{1}{|c|}{8} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{330} - \\ \hline - - \multicolumn{1}{|c|}{70} & \multicolumn{1}{|c|}{5822.054} - & \multicolumn{1}{|c|}{9} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{306} - \\ \hline - - \multicolumn{1}{|c|}{104} & \multicolumn{1}{|c|}{5683.944} - & \multicolumn{1}{|c|}{10} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{280} - \\ \hline - - \multicolumn{1}{|c|}{156} & \multicolumn{1}{|c|}{5474.525} - & \multicolumn{1}{|c|}{11} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{252} - \\ \hline - - \multicolumn{1}{|c|}{1467} & \multicolumn{1}{|c|}{5299.985} - & \multicolumn{1}{|c|}{12} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{0} - \\ \hline - - \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{5296.964} - & \multicolumn{1}{|c|}{13} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{0} - \\ \hline - - \multicolumn{1}{|c|}{115} & \multicolumn{1}{|c|}{5196.398} - & \multicolumn{1}{|c|}{14} & \multicolumn{1}{|c|}{0} - & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{0} + \multicolumn{2}{|c|}{\textbf{Base}} + & \multicolumn{2}{|c|}{\textbf{Transitive Closure}} + & \multicolumn{2}{|c|}{\textbf{Dominant Tree}} \\ \hline + \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} & \multicolumn{1}{c|}{\textbf{Node}} & \textbf{\% Value} \\ \hline + \multicolumn{1}{|c|}{42} & 0.43 & \multicolumn{1}{c|}{0} & 0 & \multicolumn{1}{c|}{1} & 24.71 \\ \hline + \multicolumn{1}{|c|}{27} & 0.40 & \multicolumn{1}{c|}{1} & 0 & \multicolumn{1}{c|}{3} & 24.68 \\ \hline + \multicolumn{1}{|c|}{60} & 0.39 & \multicolumn{1}{c|}{2} & 0 & \multicolumn{1}{c|}{7} & 9.20 \\ \hline + \multicolumn{1}{|c|}{87} & 0.36 & \multicolumn{1}{c|}{3} & 0 & \multicolumn{1}{c|}{42} & 9.00 \\ \hline + \multicolumn{1}{|c|}{15} & 0.36 & \multicolumn{1}{c|}{4} & 0 & \multicolumn{1}{c|}{27} & 7.55 \\ \hline + \multicolumn{1}{|c|}{130} & 0.33 & \multicolumn{1}{c|}{5} & 0 & \multicolumn{1}{c|}{15} & 6.08 \\ \hline + \multicolumn{1}{|c|}{7} & 0.31 & \multicolumn{1}{c|}{6} & 0 & \multicolumn{1}{c|}{314} & 3.69 \\ \hline + \multicolumn{1}{|c|}{187} & 0.29 & \multicolumn{1}{c|}{7} & 0 & \multicolumn{1}{c|}{250} & 3.49 \\ \hline + \multicolumn{1}{|c|}{50} & 0.28 & \multicolumn{1}{c|}{8} & 0 & \multicolumn{1}{c|}{187} & 3.28 \\ \hline + \multicolumn{1}{|c|}{70} & 0.28 & \multicolumn{1}{c|}{9} & 0 & \multicolumn{1}{c|}{130} & 3.04 \\ \hline + \multicolumn{1}{|c|}{104} & 0.27 & \multicolumn{1}{c|}{10} & 0 & \multicolumn{1}{c|}{87} & 2.78 \\ \hline + \multicolumn{1}{|c|}{156} & 0.26 & \multicolumn{1}{c|}{11} & 0 & \multicolumn{1}{c|}{60} & 2.50 \\ \hline + \multicolumn{1}{|c|}{1467} & 0.25 & \multicolumn{1}{c|}{12} & 0 & \multicolumn{1}{c|}{0} & 0.00 \\ \hline + \multicolumn{1}{|c|}{250} & 0.25 & \multicolumn{1}{c|}{13} & 0 & \multicolumn{1}{c|}{2} & 0.00 \\ \hline + \multicolumn{1}{|c|}{115} & 0.25 & \multicolumn{1}{c|}{14} & 0 & \multicolumn{1}{c|}{4} & 0.00 \\ \hline + \end{tabular} \caption{Top 15 Nodes with Betweenness Centrality} \label{table:car-betweenness} diff --git a/data/.~lock.Formatted_Results.ods# b/data/.~lock.Formatted_Results.ods# new file mode 100644 index 0000000..9a4f0aa --- /dev/null +++ b/data/.~lock.Formatted_Results.ods# @@ -0,0 +1 @@ +,noah,NovaArchSys,19.10.2022 16:04,file:///home/noah/.config/libreoffice/4; \ No newline at end of file diff --git a/data/Formatted_Results.ods b/data/Formatted_Results.ods index 4f8ded0..7d8a5a3 100644 Binary files a/data/Formatted_Results.ods and b/data/Formatted_Results.ods differ diff --git a/q.log b/q.log new file mode 100644 index 0000000..4144094 --- /dev/null +++ b/q.log @@ -0,0 +1,31 @@ +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Arch Linux) (preloaded format=pdflatex 2022.4.29) 19 OCT 2022 16:09 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**Schrick-Noah_CS-7863_Final-Report. +(/usr/share/texmf-dist/tex/latex/tools/q.tex +! 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