From 0ee862b935dcccaeb8e046fab77156b494741ca8 Mon Sep 17 00:00:00 2001 From: noah Date: Mon, 2 May 2022 23:13:49 -0500 Subject: [PATCH] Adding results, final Results.ods --- .~lock.Formatted_Results.ods# | 2 +- Formatted_Results.ods | Bin 23888 -> 24595 bytes Report/Appendices.aux | 46 +++ Report/Appendices.tex | 113 +++++++ Report/Schrick-Noah_CS-7863_Final-Report.aux | 49 +-- Report/Schrick-Noah_CS-7863_Final-Report.log | 313 ++++++++++++------- Report/Schrick-Noah_CS-7863_Final-Report.pdf | Bin 333505 -> 350329 bytes Report/Schrick-Noah_CS-7863_Final-Report.tex | 115 +++++++ Report/Schrick-Noah_CS-7863_Final-Report.toc | 16 +- Schrick-Noah_CG-Analysis.R | 18 ++ 10 files changed, 526 insertions(+), 146 deletions(-) create mode 100644 Report/Appendices.aux create mode 100644 Report/Appendices.tex diff --git a/.~lock.Formatted_Results.ods# b/.~lock.Formatted_Results.ods# index 73d0e93..b7e79f8 100644 --- a/.~lock.Formatted_Results.ods# +++ b/.~lock.Formatted_Results.ods# @@ -1 +1 @@ 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\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 + \end{tabular} + \caption{Top 15 Nodes with Degree Centrality} + \label{table:hipaa-degree} + \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|}{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 + \end{tabular} + \caption{Top 15 Nodes with K-path Edge Centrality} + \label{table:hipaa-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|}{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 + \end{tabular} + \caption{Top 15 Nodes with PageRank Centrality} + \label{table:hipaa-APC} + \end{table} + + % Please add the following required packages to your document preamble: +% \usepackage[table,xcdraw]{xcolor} +% If you use beamer only pass "xcolor=table" option, i.e. \documentclass[xcolor=table]{beamer} +\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|}{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} + + +\section{PCI DSS Results} \label{apx:pci} \ No newline at end of file diff --git a/Report/Schrick-Noah_CS-7863_Final-Report.aux b/Report/Schrick-Noah_CS-7863_Final-Report.aux index f65600c..6aba00e 100644 --- a/Report/Schrick-Noah_CS-7863_Final-Report.aux +++ b/Report/Schrick-Noah_CS-7863_Final-Report.aux @@ -1,9 +1,9 @@ \relax \providecommand\babel@aux[2]{} \@nameuse{bbl@beforestart} +\babel@aux{nil}{} \citation{phillips_graph-based_1998} \citation{schneier_modeling_1999} -\babel@aux{nil}{} \citation{j_hale_compliance_nodate} \citation{baloyi_guidelines_2019} \citation{allman_complying_2006} @@ -17,49 +17,59 @@ \citation{Guo2017HermitianAM} \citation{Mieghem2018DirectedGA} 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a/Report/Schrick-Noah_CS-7863_Final-Report.tex b/Report/Schrick-Noah_CS-7863_Final-Report.tex index b707d57..59a0e16 100644 --- a/Report/Schrick-Noah_CS-7863_Final-Report.tex +++ b/Report/Schrick-Noah_CS-7863_Final-Report.tex @@ -9,6 +9,7 @@ \usepackage{ifpdf} % Detect PDF or DVI mode \usepackage{babel} % Bibliography \usepackage{dsfont} % mathbb +\usepackage[table,xcdraw]{xcolor} \usepackage[utf8]{inputenc} \usepackage{float} @@ -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 + +\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} \ No newline at end of file diff --git a/Report/Schrick-Noah_CS-7863_Final-Report.toc b/Report/Schrick-Noah_CS-7863_Final-Report.toc index 8e0b6f7..655af0f 100644 --- a/Report/Schrick-Noah_CS-7863_Final-Report.toc +++ b/Report/Schrick-Noah_CS-7863_Final-Report.toc @@ -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}{}% diff --git a/Schrick-Noah_CG-Analysis.R b/Schrick-Noah_CG-Analysis.R index dd3a4cd..1b08422 100644 --- a/Schrick-Noah_CG-Analysis.R +++ b/Schrick-Noah_CG-Analysis.R @@ -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)