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|
||||
\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{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}
|
||||
|
||||
|
||||
\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|}{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
|
||||
|
||||
\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} & \multicolumn{1}{|c|}{0.0827}
|
||||
& \multicolumn{1}{|c|}{2490} & \multicolumn{1}{|c|}{0.1992}
|
||||
& \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{0.001655}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{1004} & \multicolumn{1}{|c|}{0.01506}
|
||||
& \multicolumn{1}{|c|}{2479} & \multicolumn{1}{|c|}{0.0158}
|
||||
& \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{0.001479}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{1467} & \multicolumn{1}{|c|}{0.00969}
|
||||
& \multicolumn{1}{|c|}{2480} & \multicolumn{1}{|c|}{0.0158}
|
||||
& \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{0.001272}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2479} & \multicolumn{1}{|c|}{0.00948}
|
||||
& \multicolumn{1}{|c|}{2481} & \multicolumn{1}{|c|}{0.0158}
|
||||
& \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{0.001028}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2480} & \multicolumn{1}{|c|}{0.00948}
|
||||
& \multicolumn{1}{|c|}{2482} & \multicolumn{1}{|c|}{0.0158}
|
||||
& \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{0.001025}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2481} & \multicolumn{1}{|c|}{0.00948}
|
||||
& \multicolumn{1}{|c|}{2483} & \multicolumn{1}{|c|}{0.0158}
|
||||
& \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{0.00074}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2482} & \multicolumn{1}{|c|}{0.00948}
|
||||
& \multicolumn{1}{|c|}{2484} & \multicolumn{1}{|c|}{0.014}
|
||||
& \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{0.00074}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2483} & \multicolumn{1}{|c|}{0.00948}
|
||||
& \multicolumn{1}{|c|}{2485} & \multicolumn{1}{|c|}{0.014}
|
||||
& \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{0.00074}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{667} & \multicolumn{1}{|c|}{0.00919}
|
||||
& \multicolumn{1}{|c|}{2486} & \multicolumn{1}{|c|}{0.0139}
|
||||
& \multicolumn{1}{|c|}{378} & \multicolumn{1}{|c|}{0.00044}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2484} & \multicolumn{1}{|c|}{0.0083}
|
||||
& \multicolumn{1}{|c|}{2487} & \multicolumn{1}{|c|}{0.0139}
|
||||
& \multicolumn{1}{|c|}{379} & \multicolumn{1}{|c|}{0.00044}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2485} & \multicolumn{1}{|c|}{0.0083}
|
||||
& \multicolumn{1}{|c|}{2488} & \multicolumn{1}{|c|}{0.0139}
|
||||
& \multicolumn{1}{|c|}{380} & \multicolumn{1}{|c|}{0.00044}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2486} & \multicolumn{1}{|c|}{0.0083}
|
||||
& \multicolumn{1}{|c|}{2489} & \multicolumn{1}{|c|}{0.0139}
|
||||
& \multicolumn{1}{|c|}{381} & \multicolumn{1}{|c|}{0.00044}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2487} & \multicolumn{1}{|c|}{0.0083}
|
||||
& \multicolumn{1}{|c|}{2424} & \multicolumn{1}{|c|}{0.0029}
|
||||
& \multicolumn{1}{|c|}{382} & \multicolumn{1}{|c|}{0.00044}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2488} & \multicolumn{1}{|c|}{0.0083}
|
||||
& \multicolumn{1}{|c|}{2425} & \multicolumn{1}{|c|}{0.0029}
|
||||
& \multicolumn{1}{|c|}{470} & \multicolumn{1}{|c|}{0.00044}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{2489} & \multicolumn{1}{|c|}{0.0083}
|
||||
& \multicolumn{1}{|c|}{2426} & \multicolumn{1}{|c|}{0.0029}
|
||||
& \multicolumn{1}{|c|}{471} & \multicolumn{1}{|c|}{0.00044}
|
||||
\\ \hline
|
||||
|
||||
\end{tabular}
|
||||
\caption{Top 15 Nodes with PageRank Centrality}
|
||||
\label{table:car-APC}
|
||||
\end{table}
|
||||
\end{table}
|
||||
|
||||
|
||||
\begin{table}[]
|
||||
\centering
|
||||
\setlength\tabcolsep{4pt}
|
||||
\begin{tabular}{|cc|cc|cc|}
|
||||
\hline
|
||||
\multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}} & \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}} \\ \hline
|
||||
\multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} & \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value} \\ \hline
|
||||
\multicolumn{1}{|c|}{42} & 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
|
||||
|
||||
\multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Base}}
|
||||
& \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Transitive Closure}}
|
||||
& \multicolumn{2}{|c|}{\cellcolor[HTML]{FFFF00}\textbf{Dominant Tree}}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value}
|
||||
& \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value}
|
||||
& \multicolumn{1}{|c|}{\textbf{Node}} & \textbf{Value}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{9067.205}
|
||||
& \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{2489}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{8442.166}
|
||||
& \multicolumn{1}{|c|}{1} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{2486}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{8279.62}
|
||||
& \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{927}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{7580.359}
|
||||
& \multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{42} & \multicolumn{1}{|c|}{906}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{7578.523}
|
||||
& \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{27} & \multicolumn{1}{|c|}{760}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{6868.21}
|
||||
& \multicolumn{1}{|c|}{5} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{15} & \multicolumn{1}{|c|}{612}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{6482.031}
|
||||
& \multicolumn{1}{|c|}{6} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{314} & \multicolumn{1}{|c|}{372}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{6111.862}
|
||||
& \multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{352}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{50} & \multicolumn{1}{|c|}{5950.928}
|
||||
& \multicolumn{1}{|c|}{8} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{187} & \multicolumn{1}{|c|}{330}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{70} & \multicolumn{1}{|c|}{5822.054}
|
||||
& \multicolumn{1}{|c|}{9} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{130} & \multicolumn{1}{|c|}{306}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{104} & \multicolumn{1}{|c|}{5683.944}
|
||||
& \multicolumn{1}{|c|}{10} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{87} & \multicolumn{1}{|c|}{280}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{156} & \multicolumn{1}{|c|}{5474.525}
|
||||
& \multicolumn{1}{|c|}{11} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{60} & \multicolumn{1}{|c|}{252}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{1467} & \multicolumn{1}{|c|}{5299.985}
|
||||
& \multicolumn{1}{|c|}{12} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{0} & \multicolumn{1}{|c|}{0}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{250} & \multicolumn{1}{|c|}{5296.964}
|
||||
& \multicolumn{1}{|c|}{13} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{0}
|
||||
\\ \hline
|
||||
|
||||
\multicolumn{1}{|c|}{115} & \multicolumn{1}{|c|}{5196.398}
|
||||
& \multicolumn{1}{|c|}{14} & \multicolumn{1}{|c|}{0}
|
||||
& \multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{0}
|
||||
\\ \hline
|
||||
|
||||
\end{tabular}
|
||||
\caption{Top 15 Nodes with Betweenness Centrality}
|
||||
\label{table:car-betweenness}
|
||||
\end{table}
|
||||
\end{table}
|
||||
|
||||
\subsection{Result Analysis}
|
||||
When viewing the results of the car networks, unsurprisingly, each centrality method ranks nodes in a different order. These differences in rankings can be used based on additional metrics, such as severity, cost, or disturbance of systems, to identify correction schemes best suited for a given network. However, degree centrality and K-path edge centrality rankings for the top 15 were identical for the car network. This also extends to the HIPAA network, as seen in Appendix \ref{apx:hipaa}, but does not extend to the PCI DSS network. The value for \textit{k} in K-path edge centrality was set to 3. With a relatively small \textit{k} value in comparison to the overall size of the car and HIPAA networks, coupled with the high degree count of the top 15 nodes ranked with degree centrality, it is likely that the high degree count correlates to the K-path edge centrality scoring. This reasoning extends to the PCI DSS network, where the network is substantially smaller and there is a greater connectivity percent.
|
||||
@ -483,12 +699,10 @@ Each centrality measure implemented in this work provides various information th
|
||||
\subsection{Future Work}
|
||||
Based on the results of this work, there is ample room to continue investigation of centrality methods for compliance graphs. With three compliance graphs generated for three different networks along with various node importance rankings, it would be useful to artificially implement correction schemes based on the rankings to see their effects on the compliance graph. Likewise, using a user-defined data matrix in centrality methods like PageRank, further research could examine how node importance varies based on user-defined metrics. Edge weights could also be assigned to the original compliance graphs to represent the probability that a given change in the network could occur. Edge weights would be reflected in the adjacency matrices of the graphs, and centrality methods could be reexamined to determine node importance when probabilities are given. Transitive closures and dominant trees derived from the compliance graphs present a new approach for examining compliance graphs. Further research can be conducted to determine the effects of correction schemes when employed on nodes ranked highly in their respective centrality measures.
|
||||
|
||||
\clearpage
|
||||
\addcontentsline{toc}{section}{Bibliography}
|
||||
\bibliography{Bibliography}
|
||||
\bibliographystyle{ieeetr}
|
||||
|
||||
\include{Appendices}
|
||||
|
||||
|
||||
\end{document}
|
||||
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