\relax 
\providecommand\babel@aux[2]{}
\@nameuse{bbl@beforestart}
\babel@aux{nil}{}
\citation{phillips_graph-based_1998}
\citation{schneier_modeling_1999}
\citation{j_hale_compliance_nodate}
\citation{baloyi_guidelines_2019}
\citation{allman_complying_2006}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{2}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Attack Graphs}{2}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Compliance Graphs}{2}{}\protected@file@percent }
\citation{Mieghem2018DirectedGA}
\citation{Mieghem2018DirectedGA}
\citation{ming_diss}
\citation{Guo2017HermitianAM}
\citation{Mieghem2018DirectedGA}
\citation{Brualdi2010SpectraOD}
\citation{noauthor_health_1996}
\citation{PCI}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.3}Difficulties of Compliance Graph Analysis}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2}Related Works}{3}{}\protected@file@percent }
\citation{PMID:30064421}
\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Network Properties for the Three Networks Utilized\relax }}{4}{}\protected@file@percent }
\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
\newlabel{table:networks}{{1}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Experimental Networks}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {4}Centralities}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Introduction}{4}{}\protected@file@percent }
\citation{Katz}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Degree}{5}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Betweenness}{5}{}\protected@file@percent }
\newlabel{eq:between}{{1}{5}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.4}Katz}{6}{}\protected@file@percent }
\newlabel{eq:Katz}{{2}{6}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.5}K-Path Edge}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {4.6}Adapted Page Rank}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5}Transitive Closure}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Introduction}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Application}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6}Dominant Tree}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Introduction}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2}Application}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {7}Results and Result Analysis}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {8}Conclusions and Future Work}{6}{}\protected@file@percent }
\bibdata{Bibliography}
\bibcite{phillips_graph-based_1998}{1}
\bibcite{schneier_modeling_1999}{2}
\bibcite{j_hale_compliance_nodate}{3}
\bibcite{baloyi_guidelines_2019}{4}
\bibcite{allman_complying_2006}{5}
\bibcite{Mieghem2018DirectedGA}{6}
\bibcite{ming_diss}{7}
\bibcite{Guo2017HermitianAM}{8}
\bibcite{Brualdi2010SpectraOD}{9}
\bibcite{noauthor_health_1996}{10}
\bibcite{PCI}{11}
\bibcite{PMID:30064421}{12}
\bibcite{Katz}{13}
\bibstyle{ieeetr}
\@writefile{toc}{\contentsline {section}{Bibliography}{7}{}\protected@file@percent }
\gdef \@abspage@last{7}