Adding results, final Results.ods
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\appendix
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\section{HIPAA Results} \label{apx:hipaa}
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\begin{table}[]
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\centering
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\begin{tabular}{|cc|cc|cc|}
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\hline
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\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
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\multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline
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\multicolumn{1}{|c|}{1} & 4 & \multicolumn{1}{|c|}{0} & 2320 & \multicolumn{1}{|c|}{0} & 2203 \\ \hline
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\multicolumn{1}{|c|}{4} & 4 & \multicolumn{1}{|c|}{1} & 2199 & \multicolumn{1}{|c|}{1} & 83 \\ \hline
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\multicolumn{1}{|c|}{5} & 4 & \multicolumn{1}{|c|}{2} & 2109 & \multicolumn{1}{|c|}{2} & 1 \\ \hline
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\multicolumn{1}{|c|}{6} & 4 & \multicolumn{1}{|c|}{6} & 1999 & \multicolumn{1}{|c|}{3} & 1 \\ \hline
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\multicolumn{1}{|c|}{11} & 4 & \multicolumn{1}{|c|}{4} & 1980 & \multicolumn{1}{|c|}{4} & 1 \\ \hline
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\multicolumn{1}{|c|}{12} & 4 & \multicolumn{1}{|c|}{5} & 1980 & \multicolumn{1}{|c|}{5} & 1 \\ \hline
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\multicolumn{1}{|c|}{13} & 4 & \multicolumn{1}{|c|}{11} & 1980 & \multicolumn{1}{|c|}{8} & 1 \\ \hline
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\multicolumn{1}{|c|}{15} & 4 & \multicolumn{1}{|c|}{15} & 1980 & \multicolumn{1}{|c|}{10} & 1 \\ \hline
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\multicolumn{1}{|c|}{16} & 4 & \multicolumn{1}{|c|}{24} & 1980 & \multicolumn{1}{|c|}{11} & 1 \\ \hline
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\multicolumn{1}{|c|}{18} & 4 & \multicolumn{1}{|c|}{33} & 1980 & \multicolumn{1}{|c|}{15} & 1 \\ \hline
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\multicolumn{1}{|c|}{24} & 4 & \multicolumn{1}{|c|}{45} & 1980 & \multicolumn{1}{|c|}{20} & 1 \\ \hline
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\multicolumn{1}{|c|}{25} & 4 & \multicolumn{1}{|c|}{61} & 1980 & \multicolumn{1}{|c|}{23} & 1 \\ \hline
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\multicolumn{1}{|c|}{26} & 4 & \multicolumn{1}{|c|}{76} & 1980 & \multicolumn{1}{|c|}{24} & 1 \\ \hline
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\multicolumn{1}{|c|}{28} & 4 & \multicolumn{1}{|c|}{101} & 1980 & \multicolumn{1}{|c|}{33} & 1 \\ \hline
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\multicolumn{1}{|c|}{29} & 4 & \multicolumn{1}{|c|}{119} & 1980 & \multicolumn{1}{|c|}{40} & 1 \\ \hline
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\end{tabular}
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\caption{Top 15 Nodes with Degree Centrality}
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\label{table:hipaa-degree}
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\end{table}
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\begin{table}[]
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\centering
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\begin{tabular}{|cc|cc|cc|}
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\hline
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\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
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\multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline
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\multicolumn{1}{|c|}{1} & 29 & \multicolumn{1}{|c|}{0} & 2320 & \multicolumn{1}{|c|}{0} & 2292 \\ \hline
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\multicolumn{1}{|c|}{4} & 29 & \multicolumn{1}{|c|}{1} & 2199 & \multicolumn{1}{|c|}{1} & 87 \\ \hline
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\multicolumn{1}{|c|}{5} & 29 & \multicolumn{1}{|c|}{2} & 2109 & \multicolumn{1}{|c|}{2} & 3 \\ \hline
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\multicolumn{1}{|c|}{6} & 29 & \multicolumn{1}{|c|}{6} & 1999 & \multicolumn{1}{|c|}{3} & 3 \\ \hline
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\multicolumn{1}{|c|}{11} & 29 & \multicolumn{1}{|c|}{4} & 1979 & \multicolumn{1}{|c|}{4} & 3 \\ \hline
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\multicolumn{1}{|c|}{12} & 29 & \multicolumn{1}{|c|}{5} & 1979 & \multicolumn{1}{|c|}{5} & 3 \\ \hline
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\multicolumn{1}{|c|}{13} & 29 & \multicolumn{1}{|c|}{11} & 1979 & \multicolumn{1}{|c|}{8} & 3 \\ \hline
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\multicolumn{1}{|c|}{15} & 29 & \multicolumn{1}{|c|}{15} & 1979 & \multicolumn{1}{|c|}{10} & 3 \\ \hline
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\multicolumn{1}{|c|}{16} & 29 & \multicolumn{1}{|c|}{24} & 1979 & \multicolumn{1}{|c|}{11} & 3 \\ \hline
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\multicolumn{1}{|c|}{18} & 29 & \multicolumn{1}{|c|}{33} & 1979 & \multicolumn{1}{|c|}{15} & 3 \\ \hline
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\multicolumn{1}{|c|}{24} & 29 & \multicolumn{1}{|c|}{45} & 1979 & \multicolumn{1}{|c|}{20} & 3 \\ \hline
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\multicolumn{1}{|c|}{25} & 29 & \multicolumn{1}{|c|}{61} & 1979 & \multicolumn{1}{|c|}{23} & 3 \\ \hline
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\multicolumn{1}{|c|}{26} & 29 & \multicolumn{1}{|c|}{76} & 1979 & \multicolumn{1}{|c|}{24} & 3 \\ \hline
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\multicolumn{1}{|c|}{28} & 29 & \multicolumn{1}{|c|}{101} & 1979 & \multicolumn{1}{|c|}{33} & 3 \\ \hline
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\multicolumn{1}{|c|}{29} & 29 & \multicolumn{1}{|c|}{119} & 1979 & \multicolumn{1}{|c|}{40} & 3 \\ \hline
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\end{tabular}
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\caption{Top 15 Nodes with K-path Edge Centrality}
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\label{table:hipaa-kpe}
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\end{table}
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\begin{table}[]
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\centering
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\begin{tabular}{|cc|cc|cc|}
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\hline
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\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
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\multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline
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\multicolumn{1}{|c|}{98} & 0.001622572 & \multicolumn{1}{|c|}{98} & 0.001149403 & \multicolumn{1}{|c|}{440} & 0.002213066 \\ \hline
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\multicolumn{1}{|c|}{150} & 0.001517908 & \multicolumn{1}{|c|}{141} & 0.001149403 & \multicolumn{1}{|c|}{450} & 0.002213066 \\ \hline
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\multicolumn{1}{|c|}{141} & 0.001473917 & \multicolumn{1}{|c|}{150} & 0.001149403 & \multicolumn{1}{|c|}{340} & 0.002118449 \\ \hline
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\multicolumn{1}{|c|}{152} & 0.001458482 & \multicolumn{1}{|c|}{152} & 0.001149403 & \multicolumn{1}{|c|}{421} & 0.002118449 \\ \hline
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\multicolumn{1}{|c|}{218} & 0.001430206 & \multicolumn{1}{|c|}{198} & 0.001149403 & \multicolumn{1}{|c|}{330} & 0.002117339 \\ \hline
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\multicolumn{1}{|c|}{207} & 0.001394885 & \multicolumn{1}{|c|}{207} & 0.001149403 & \multicolumn{1}{|c|}{339} & 0.002117339 \\ \hline
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\multicolumn{1}{|c|}{220} & 0.001378205 & \multicolumn{1}{|c|}{209} & 0.001149403 & \multicolumn{1}{|c|}{249} & 0.002006025 \\ \hline
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\multicolumn{1}{|c|}{304} & 0.001370904 & \multicolumn{1}{|c|}{218} & 0.001149403 & \multicolumn{1}{|c|}{313} & 0.002006025 \\ \hline
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\multicolumn{1}{|c|}{198} & 0.001363898 & \multicolumn{1}{|c|}{220} & 0.001149403 & \multicolumn{1}{|c|}{240} & 0.002004719 \\ \hline
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\multicolumn{1}{|c|}{209} & 0.001340868 & \multicolumn{1}{|c|}{222} & 0.001149403 & \multicolumn{1}{|c|}{248} & 0.002004719 \\ \hline
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\multicolumn{1}{|c|}{222} & 0.001338749 & \multicolumn{1}{|c|}{271} & 0.001149403 & \multicolumn{1}{|c|}{176} & 0.001873761 \\ \hline
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\multicolumn{1}{|c|}{410} & 0.001334312 & \multicolumn{1}{|c|}{280} & 0.001149403 & \multicolumn{1}{|c|}{225} & 0.001873761 \\ \hline
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\multicolumn{1}{|c|}{291} & 0.001321592 & \multicolumn{1}{|c|}{282} & 0.001149403 & \multicolumn{1}{|c|}{168} & 0.001872224 \\ \hline
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\multicolumn{1}{|c|}{537} & 0.001312566 & \multicolumn{1}{|c|}{291} & 0.001149403 & \multicolumn{1}{|c|}{175} & 0.001872224 \\ \hline
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\multicolumn{1}{|c|}{306} & 0.001304744 & \multicolumn{1}{|c|}{293} & 0.001149403 & \multicolumn{1}{|c|}{119} & 0.001718156 \\ \hline
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\end{tabular}
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\caption{Top 15 Nodes with PageRank Centrality}
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\label{table:hipaa-APC}
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\end{table}
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% Please add the following required packages to your document preamble:
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% \usepackage[table,xcdraw]{xcolor}
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% If you use beamer only pass "xcolor=table" option, i.e. \documentclass[xcolor=table]{beamer}
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\begin{table}[]
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\centering
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\begin{tabular}{|cc|cc|cc|}
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\hline
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\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
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\multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline
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\multicolumn{1}{|c|}{57} & 30159.36 & \multicolumn{1}{|c|}{0} & 0 & \multicolumn{1}{|c|}{1} & 99 \\ \hline
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\multicolumn{1}{|c|}{98} & 29440.04 & \multicolumn{1}{|c|}{1} & 0 & \multicolumn{1}{|c|}{45} & 25 \\ \hline
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\multicolumn{1}{|c|}{150} & 28358.55 & \multicolumn{1}{|c|}{2} & 0 & \multicolumn{1}{|c|}{61} & 25 \\ \hline
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\multicolumn{1}{|c|}{88} & 28108.58 & \multicolumn{1}{|c|}{3} & 0 & \multicolumn{1}{|c|}{70} & 25 \\ \hline
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\multicolumn{1}{|c|}{95} & 28093.87 & \multicolumn{1}{|c|}{4} & 0 & \multicolumn{1}{|c|}{75} & 25 \\ \hline
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\multicolumn{1}{|c|}{141} & 27812.05 & \multicolumn{1}{|c|}{5} & 0 & \multicolumn{1}{|c|}{24} & 24 \\ \hline
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\multicolumn{1}{|c|}{152} & 27774.25 & \multicolumn{1}{|c|}{6} & 0 & \multicolumn{1}{|c|}{33} & 24 \\ \hline
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\multicolumn{1}{|c|}{97} & 27495.11 & \multicolumn{1}{|c|}{7} & 0 & \multicolumn{1}{|c|}{40} & 24 \\ \hline
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\multicolumn{1}{|c|}{218} & 27411.69 & \multicolumn{1}{|c|}{8} & 0 & \multicolumn{1}{|c|}{44} & 24 \\ \hline
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\multicolumn{1}{|c|}{207} & 26972.75 & \multicolumn{1}{|c|}{9} & 0 & \multicolumn{1}{|c|}{76} & 24 \\ \hline
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\multicolumn{1}{|c|}{220} & 26927 & \multicolumn{1}{|c|}{10} & 0 & \multicolumn{1}{|c|}{101} & 24 \\ \hline
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\multicolumn{1}{|c|}{131} & 26605.99 & \multicolumn{1}{|c|}{11} & 0 & \multicolumn{1}{|c|}{112} & 24 \\ \hline
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\multicolumn{1}{|c|}{304} & 26604.49 & \multicolumn{1}{|c|}{12} & 0 & \multicolumn{1}{|c|}{118} & 24 \\ \hline
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\multicolumn{1}{|c|}{147} & 26591 & \multicolumn{1}{|c|}{13} & 0 & \multicolumn{1}{|c|}{11} & 21 \\ \hline
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\multicolumn{1}{|c|}{138} & 26507.64 & \multicolumn{1}{|c|}{14} & 0 & \multicolumn{1}{|c|}{15} & 21 \\ \hline
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\end{tabular}
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\caption{Top 15 Nodes with Betweenness Centrality}
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\label{table:hipaa-btwn}
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\end{table}
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\section{PCI DSS Results} \label{apx:pci}
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\usepackage{ifpdf} % Detect PDF or DVI mode
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@ -159,6 +160,118 @@ Following the properties of dominance, a dominator tree can be derived. In a dom
|
||||
Dominant trees do alter the structure of compliance graphs, and leads to leaf nodes and branches that do not exist in the original network. As a result, some nodes that have directed edges to other nodes may be moved to a position where the edge no longer points to the original nodes. However, in dominant trees, all node parents dominate their children. In this format, the information flow is guided predominantly by the upstream nodes, and all parents in the dominant tree exist as upstream nodes in the original compliance graph. While some downstream nodes may be altered, the importance of nodes can be reexamined in the dominant tree to see how importance differs when information flow is refined. To this end, dominant trees were identified for all networks described in Section \ref{sec:networks}, and these dominant trees were then analyzed through the five centrality methods discussed in Section \ref{sec:centralities}. Results and a discussion of the results can be seen in Section \ref{sec:results}.
|
||||
|
||||
\section{Results and Result Analysis} \label{sec:results}
|
||||
In this section, only results for the car network are displayed for brevity. For the HIPAA and PCI DSS networks, results can be seen in Appendices \ref{apx:hipaa} and \ref{apx:pci}, respectively
|
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|
||||
\begin{table}[]
|
||||
\centering
|
||||
\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|}{314} & 11 & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{2490} & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{1246} \\ \hline
|
||||
\multicolumn{1}{|c|}{346} & 10 & \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{2489} & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{934} \\ \hline
|
||||
\multicolumn{1}{|c|}{362} & 10 & \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{2487} & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{156} \\ \hline
|
||||
\multicolumn{1}{|c|}{370} & 10 & \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{2479} & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{115} \\ \hline
|
||||
\multicolumn{1}{|c|}{374} & 10 & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{2463} & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{31} \\ \hline
|
||||
\multicolumn{1}{|c|}{376} & 10 & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{2447} & \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{1} \\ \hline
|
||||
\multicolumn{1}{|c|}{377} & 10 & \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{2431} & \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{1} \\ \hline
|
||||
\multicolumn{1}{|c|}{378} & 10 & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{2367} & \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{1} \\ \hline
|
||||
\multicolumn{1}{|c|}{379} & 10 & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{2303} & \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{1} \\ \hline
|
||||
\multicolumn{1}{|c|}{380} & 10 & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{2239} & \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{1} \\ \hline
|
||||
\multicolumn{1}{|c|}{381} & 10 & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{2175} & \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{1} \\ \hline
|
||||
\multicolumn{1}{|c|}{382} & 10 & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{2111} & \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{1} \\ \hline
|
||||
\multicolumn{1}{|c|}{398} & 9 & \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{2047} & \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{1} \\ \hline
|
||||
\multicolumn{1}{|c|}{406} & 9 & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{1244} & \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{0} \\ \hline
|
||||
\multicolumn{1}{|c|}{410} & 9 & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{1243} & \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{0} \\ \hline
|
||||
\end{tabular}
|
||||
\caption{Top 15 Nodes with Degree Centrality}
|
||||
\label{table:car-deg}
|
||||
\end{table}
|
||||
|
||||
\begin{table}[]
|
||||
\centering
|
||||
\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}} & \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
|
||||
\end{tabular}
|
||||
\caption{Top 15 Nodes with K-path Edge Centrality}
|
||||
\label{table:car-kpe}
|
||||
\end{table}
|
||||
|
||||
|
||||
|
||||
\begin{table}[]
|
||||
\centering
|
||||
\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|}{2490} & 0.0827 & \multicolumn{1}{|c|}{2490} & 0.1992 & \multicolumn{1}{|c|}{314} & 0.001655 \\ \hline
|
||||
\multicolumn{1}{|c|}{1004} & 0.01506 & \multicolumn{1}{|c|}{2479} & 0.0158 & \multicolumn{1}{|c|}{250} & 0.001479 \\ \hline
|
||||
\multicolumn{1}{|c|}{1467} & 0.00969 & \multicolumn{1}{|c|}{2480} & 0.0158 & \multicolumn{1}{|c|}{187} & 0.001272 \\ \hline
|
||||
\multicolumn{1}{|c|}{2479} & 0.00948 & \multicolumn{1}{|c|}{2481} & 0.0158 & \multicolumn{1}{|c|}{130} & 0.001028 \\ \hline
|
||||
\multicolumn{1}{|c|}{2480} & 0.00948 & \multicolumn{1}{|c|}{2482} & 0.0158 & \multicolumn{1}{|c|}{42} & 0.001025 \\ \hline
|
||||
\multicolumn{1}{|c|}{2481} & 0.00948 & \multicolumn{1}{|c|}{2483} & 0.0158 & \multicolumn{1}{|c|}{87} & 0.00074 \\ \hline
|
||||
\multicolumn{1}{|c|}{2482} & 0.00948 & \multicolumn{1}{|c|}{2484} & 0.014 & \multicolumn{1}{|c|}{27} & 0.00074 \\ \hline
|
||||
\multicolumn{1}{|c|}{2483} & 0.00948 & \multicolumn{1}{|c|}{2485} & 0.014 & \multicolumn{1}{|c|}{1} & 0.00074 \\ \hline
|
||||
\multicolumn{1}{|c|}{667} & 0.00919 & \multicolumn{1}{|c|}{2486} & 0.0139 & \multicolumn{1}{|c|}{378} & 0.00044 \\ \hline
|
||||
\multicolumn{1}{|c|}{2484} & 0.0083 & \multicolumn{1}{|c|}{2487} & 0.0139 & \multicolumn{1}{|c|}{379} & 0.00044 \\ \hline
|
||||
\multicolumn{1}{|c|}{2485} & 0.0083 & \multicolumn{1}{|c|}{2488} & 0.0139 & \multicolumn{1}{|c|}{380} & 0.00044 \\ \hline
|
||||
\multicolumn{1}{|c|}{2486} & 0.0083 & \multicolumn{1}{|c|}{2489} & 0.0139 & \multicolumn{1}{|c|}{381} & 0.00044 \\ \hline
|
||||
\multicolumn{1}{|c|}{2487} & 0.0083 & \multicolumn{1}{|c|}{2424} & 0.0029 & \multicolumn{1}{|c|}{382} & 0.00044 \\ \hline
|
||||
\multicolumn{1}{|c|}{2488} & 0.0083 & \multicolumn{1}{|c|}{2425} & 0.0029 & \multicolumn{1}{|c|}{470} & 0.00044 \\ \hline
|
||||
\multicolumn{1}{|c|}{2489} & 0.0083 & \multicolumn{1}{|c|}{2426} & 0.0029 & \multicolumn{1}{|c|}{471} & 0.00044 \\ \hline
|
||||
\end{tabular}
|
||||
\caption{Top 15 Nodes with PageRank Centrality}
|
||||
\label{table:car-APC}
|
||||
\end{table}
|
||||
|
||||
|
||||
\begin{table}[]
|
||||
\centering
|
||||
\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} & 9067.205 & \multicolumn{1}{|c|}{0} & 0 & \multicolumn{1}{|c|}{1} & 2489 \\ \hline
|
||||
\multicolumn{1}{|c|}{27} & 8442.166 & \multicolumn{1}{|c|}{1} & 0 & \multicolumn{1}{|c|}{3} & 2486 \\ \hline
|
||||
\multicolumn{1}{|c|}{60} & 8279.62 & \multicolumn{1}{|c|}{2} & 0 & \multicolumn{1}{|c|}{7} & 927 \\ \hline
|
||||
\multicolumn{1}{|c|}{87} & 7580.359 & \multicolumn{1}{|c|}{3} & 0 & \multicolumn{1}{|c|}{42} & 906 \\ \hline
|
||||
\multicolumn{1}{|c|}{15} & 7578.523 & \multicolumn{1}{|c|}{4} & 0 & \multicolumn{1}{|c|}{27} & 760 \\ \hline
|
||||
\multicolumn{1}{|c|}{130} & 6868.21 & \multicolumn{1}{|c|}{5} & 0 & \multicolumn{1}{|c|}{15} & 612 \\ \hline
|
||||
\multicolumn{1}{|c|}{7} & 6482.031 & \multicolumn{1}{|c|}{6} & 0 & \multicolumn{1}{|c|}{314} & 372 \\ \hline
|
||||
\multicolumn{1}{|c|}{187} & 6111.862 & \multicolumn{1}{|c|}{7} & 0 & \multicolumn{1}{|c|}{250} & 352 \\ \hline
|
||||
\multicolumn{1}{|c|}{50} & 5950.928 & \multicolumn{1}{|c|}{8} & 0 & \multicolumn{1}{|c|}{187} & 330 \\ \hline
|
||||
\multicolumn{1}{|c|}{70} & 5822.054 & \multicolumn{1}{|c|}{9} & 0 & \multicolumn{1}{|c|}{130} & 306 \\ \hline
|
||||
\multicolumn{1}{|c|}{104} & 5683.944 & \multicolumn{1}{|c|}{10} & 0 & \multicolumn{1}{|c|}{87} & 280 \\ \hline
|
||||
\multicolumn{1}{|c|}{156} & 5474.525 & \multicolumn{1}{|c|}{11} & 0 & \multicolumn{1}{|c|}{60} & 252 \\ \hline
|
||||
\multicolumn{1}{|c|}{1467} & 5299.985 & \multicolumn{1}{|c|}{12} & 0 & \multicolumn{1}{|c|}{0} & 0 \\ \hline
|
||||
\multicolumn{1}{|c|}{250} & 5296.964 & \multicolumn{1}{|c|}{13} & 0 & \multicolumn{1}{|c|}{2} & 0 \\ \hline
|
||||
\multicolumn{1}{|c|}{115} & 5196.398 & \multicolumn{1}{|c|}{14} & 0 & \multicolumn{1}{|c|}{4} & 0 \\ \hline
|
||||
\end{tabular}
|
||||
\caption{Top 15 Nodes with Betweenness Centrality}
|
||||
\label{table:car-betweenness}
|
||||
\end{table}
|
||||
|
||||
\subsection{HIPAA Network}
|
||||
|
||||
\subsection{PCI DSS Network}
|
||||
|
||||
\section{Conclusions and Future Work}
|
||||
|
||||
@ -168,5 +281,7 @@ Dominant trees do alter the structure of compliance graphs, and leads to leaf no
|
||||
\bibliography{Bibliography}
|
||||
\bibliographystyle{ieeetr}
|
||||
|
||||
\include{Appendices}
|
||||
|
||||
|
||||
\end{document}
|
||||
@ -5,17 +5,21 @@
|
||||
\contentsline {subsection}{\numberline {1.3}Difficulties of Compliance Graph Analysis}{3}{}%
|
||||
\contentsline {section}{\numberline {2}Related Works}{3}{}%
|
||||
\contentsline {section}{\numberline {3}Experimental Networks}{4}{}%
|
||||
\contentsline {section}{\numberline {4}Centralities and their Applications to Compliance Graphs}{4}{}%
|
||||
\contentsline {subsection}{\numberline {4.1}Introduction}{4}{}%
|
||||
\contentsline {section}{\numberline {4}Centralities and their Applications to Compliance Graphs}{5}{}%
|
||||
\contentsline {subsection}{\numberline {4.1}Introduction}{5}{}%
|
||||
\contentsline {subsection}{\numberline {4.2}Degree}{5}{}%
|
||||
\contentsline {subsection}{\numberline {4.3}Betweenness}{5}{}%
|
||||
\contentsline {subsection}{\numberline {4.4}Katz}{6}{}%
|
||||
\contentsline {subsection}{\numberline {4.5}K-Path Edge}{6}{}%
|
||||
\contentsline {subsection}{\numberline {4.5}K-Path Edge}{7}{}%
|
||||
\contentsline {subsection}{\numberline {4.6}Adapted Page Rank}{7}{}%
|
||||
\contentsline {section}{\numberline {5}Transitive Closure}{8}{}%
|
||||
\contentsline {subsection}{\numberline {5.1}Introduction and Application}{8}{}%
|
||||
\contentsline {section}{\numberline {6}Dominant Tree}{9}{}%
|
||||
\contentsline {subsection}{\numberline {6.1}Introduction and Application}{9}{}%
|
||||
\contentsline {section}{\numberline {7}Results and Result Analysis}{12}{}%
|
||||
\contentsline {section}{\numberline {8}Conclusions and Future Work}{12}{}%
|
||||
\contentsline {section}{Bibliography}{13}{}%
|
||||
\contentsline {section}{\numberline {7}Results and Result Analysis}{10}{}%
|
||||
\contentsline {subsection}{\numberline {7.1}HIPAA Network}{10}{}%
|
||||
\contentsline {subsection}{\numberline {7.2}PCI DSS Network}{10}{}%
|
||||
\contentsline {section}{\numberline {8}Conclusions and Future Work}{10}{}%
|
||||
\contentsline {section}{Bibliography}{15}{}%
|
||||
\contentsline {section}{\numberline {A}HIPAA Results}{17}{}%
|
||||
\contentsline {section}{\numberline {B}PCI DSS Results}{17}{}%
|
||||
|
||||
@ -277,8 +277,26 @@ dtree_centralities[[3,1]] <- pci.dtree.deg %>% sort(decreasing = T)
|
||||
#### Katz
|
||||
car.dtree.katz <- katz.cent(car.dtree)
|
||||
dtree_centralities[[1,2]] <- car.dtree.katz[rowSums(apply(car.dtree.katz,2,is.nan))==0,] %>% sort(decreasing = T)
|
||||
car.dtree.katz <- katz.cent(car.dtree)
|
||||
nodes <- car.dtree.katz %>% order(decreasing=T)
|
||||
nodes <- head(nodes, 15)-1
|
||||
vals <- car.dtree.katz %>% sort(decreasing=T)
|
||||
vals <- head(vals, 15)
|
||||
|
||||
dtree_centralities[[2,2]] <- katz.cent(hipaa.dtree) %>% sort(decreasing = T)
|
||||
hipaa.dtree.katz <- katz.cent(hipaa.dtree)
|
||||
nodes <- hipaa.dtree.katz %>% order(decreasing=T)
|
||||
nodes <- head(nodes, 15)-1
|
||||
vals <- hipaa.dtree.katz %>% sort(decreasing=T)
|
||||
vals <- head(vals, 15)
|
||||
|
||||
|
||||
dtree_centralities[[3,2]] <- katz.cent(pci.dtree) %>% sort(decreasing = T)
|
||||
pci.dtree.katz <- katz.cent(pci.dtree)
|
||||
nodes <- pci.dtree.katz %>% order(decreasing=T)
|
||||
nodes <- head(nodes, 15)-1
|
||||
vals <- pci.dtree.katz %>% sort(decreasing=T)
|
||||
vals <- head(vals, 15)
|
||||
|
||||
### Page Rank
|
||||
dtree_centralities[[1,3]] <- page.rank(car.dtree)$vector %>% sort(decreasing = T)
|
||||
|
||||
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Reference in New Issue
Block a user