Finalizing percentage values for results, adding them to the .tex, and removing highlighting of cells

This commit is contained in:
Noah L. Schrick 2022-10-19 16:45:39 -05:00
parent 5c364ca6fa
commit ae0150d8d1
12 changed files with 456 additions and 751 deletions

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\appendix
\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
\end{tabular}
\caption{Top 15 Nodes with Betweenness Centrality}
\label{table:hipaa-btwn}
\end{table}
\clearpage
\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 HIPAA Nodes with Betweenness Centrality}
\label{table:hipaa-btwn}
\end{table}
\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}
\end{table}

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\bibcite{allman_complying_2006}{5}
\bibcite{newman2010networks}{6}
\bibcite{Mieghem2018DirectedGA}{7}
\bibcite{ming_diss}{8}
\bibcite{10.1145/3491257}{8}
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@ -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

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View File

@ -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}
@ -402,90 +275,27 @@ 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|}{231}
& \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{2490}
& \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{2336}
\\ \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
\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
\end{tabular}
\caption{Top 15 Nodes with K-path Edge Centrality}
@ -498,187 +308,60 @@ 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|}{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
\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
\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}}
\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} & \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}
\\ \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}

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