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\contentsline {section}{\hspace {-\parindent }COPYRIGHT}{iii}{}%
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\contentsline {section}{\hspace {-\parindent }ABSTRACT}{iv}{}%
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\contentsline {section}{\hspace {-\parindent }ACKNOWLEDGEMENTS}{v}{}%
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\contentsline {section}{\hspace {-\parindent }TABLE OF CONTENTS}{viii}{}%
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\contentsline {section}{\hspace {-\parindent }LIST OF TABLES}{ix}{}%
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\contentsline {section}{\hspace {-\parindent }LIST OF FIGURES}{x}{}%
\contentsline {chapter}{\numberline {CHAPTER 1: }{\bf \uppercase {INTRODUCTION}}}{1}{}%
\contentsline {section}{\numberline {1.1}\bf Introduction to Attack Graphs}{1}{}%
\contentsline {section}{\numberline {1.2}\bf Application to Cybersecurity and Compliance}{2}{}%
\contentsline {section}{\numberline {1.3}\bf Objectives and Contributions}{2}{}%
\contentsline {chapter}{\numberline {CHAPTER 2: }{\bf \uppercase {RELATED WORKS}}}{3}{}%
\contentsline {section}{\numberline {2.1}\bf Introduction to Graph Generation}{3}{}%
\contentsline {section}{\numberline {2.2}\bf Improvements to Attack Graph Generation}{3}{}%
\contentsline {section}{\numberline {2.3}\bf Attack Dependency Graphs}{3}{}%
\contentsline {section}{\numberline {2.4}\bf Compliance Graphs}{3}{}%
\contentsline {chapter}{\numberline {CHAPTER 3: }{\bf \uppercase {UTILITY EXTENSIONS TO THE RAGE ATTACK GRAPH GENERATOR}}}{4}{}%
\contentsline {section}{\numberline {3.1}\bf Path Walking}{4}{}%
\contentsline {section}{\numberline {3.2}\bf Compound Operators}{4}{}%
\contentsline {section}{\numberline {3.3}\bf Color Coding}{6}{}%
\contentsline {section}{\numberline {3.4}\bf Intermediate Database Storage}{7}{}%
\contentsline {subsection}{\numberline {3.4.1}\it Memory Constraint Difficulties}{8}{}%
\contentsline {subsection}{\numberline {3.4.2}\it Maximizing Performance with Intermediate Database Storage}{9}{}%
\contentsline {subsection}{\numberline {3.4.3}\it Portability}{10}{}%
\contentsline {section}{\numberline {3.5}\bf Relational Operators}{11}{}%
\contentsline {chapter}{\numberline {CHAPTER 4: }{\bf \uppercase {SYNCHRONOUS FIRING}}}{12}{}%
\contentsline {section}{\numberline {4.1}\bf Introduction}{12}{}%
\contentsline {subsection}{\numberline {4.1.1}\it Synchronous Firing in Literature}{12}{}%
\contentsline {section}{\numberline {4.2}\bf Necessary Components}{12}{}%
\contentsline {section}{\numberline {4.3}\bf Example Networks and Results}{12}{}%
\contentsline {subsection}{\numberline {4.3.1}\it Example Networks}{12}{}%
\contentsline {subsection}{\numberline {4.3.2}\it Results}{12}{}%
\contentsline {chapter}{\numberline {CHAPTER 5: }{\bf \uppercase {IMPLEMENTATION OF MESSAGE PASSING INTERFACE}}}{13}{}%
\contentsline {section}{\numberline {5.1}\bf Introduction to MPI Utilization for Attack Graph Generation}{13}{}%
\contentsline {section}{\numberline {5.2}\bf Necessary Components}{13}{}%
\contentsline {subsection}{\numberline {5.2.1}\it Serialization}{13}{}%
\contentsline {subsection}{\numberline {5.2.2}\it Data Consistency}{13}{}%
\contentsline {section}{\numberline {5.3}\bf Tasking Approach}{13}{}%
\contentsline {subsection}{\numberline {5.3.1}\it Introduction to the Tasking Approach}{13}{}%
\contentsline {subsection}{\numberline {5.3.2}\it Algorithm Design}{13}{}%
\contentsline {subsubsection}{Communication Structure}{13}{}%
\contentsline {subsubsection}{Task Zero}{13}{}%
\contentsline {subsubsection}{Task One}{13}{}%
\contentsline {subsubsection}{Task Two}{13}{}%
\contentsline {subsubsection}{Task Three}{13}{}%
\contentsline {subsubsection}{Task Four}{13}{}%
\contentsline {subsubsection}{Task Five}{14}{}%
\contentsline {subsection}{\numberline {5.3.3}\it Performance Expectations}{14}{}%
\contentsline {section}{\numberline {5.4}\bf Subgraphing Approach}{14}{}%
\contentsline {subsection}{\numberline {5.4.1}\it Introduction to the Subgraphing Approach}{14}{}%
\contentsline {subsection}{\numberline {5.4.2}\it Algorithm Design}{14}{}%
\contentsline {subsubsection}{Communication Structure}{14}{}%
\contentsline {subsubsection}{Worker Nodes}{14}{}%
\contentsline {subsubsection}{Root Node}{14}{}%
\contentsline {subsubsection}{Database Node}{14}{}%
\contentsline {subsection}{\numberline {5.4.3}\it Performance Expectations}{14}{}%
\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {PERFORMANCE ANALYSIS}}}{15}{}%
\contentsline {section}{\numberline {6.1}\bf Small Networks}{15}{}%
\contentsline {subsection}{\numberline {6.1.1}\it Test Information}{15}{}%
\contentsline {subsection}{\numberline {6.1.2}\it Results}{15}{}%
\contentsline {subsection}{\numberline {6.1.3}\it Analysis}{15}{}%
\contentsline {section}{\numberline {6.2}\bf Large Networks}{15}{}%
\contentsline {subsection}{\numberline {6.2.1}\it Test Information}{15}{}%
\contentsline {subsection}{\numberline {6.2.2}\it Results}{15}{}%
\contentsline {subsection}{\numberline {6.2.3}\it Analysis}{15}{}%
\contentsline {section}{\numberline {6.3}\bf Large Exploit Lists}{15}{}%
\contentsline {subsection}{\numberline {6.3.1}\it Test Information}{15}{}%
\contentsline {subsection}{\numberline {6.3.2}\it Results}{15}{}%
\contentsline {subsection}{\numberline {6.3.3}\it Analysis}{15}{}%
\contentsline {section}{\numberline {6.4}\bf Distributed Hash Tables}{15}{}%
\contentsline {subsection}{\numberline {6.4.1}\it Test Information}{16}{}%
\contentsline {subsection}{\numberline {6.4.2}\it Results}{16}{}%
\contentsline {subsection}{\numberline {6.4.3}\it Analysis}{16}{}%
\contentsline {chapter}{\numberline {CHAPTER 7: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{17}{}%
\contentsline {section}{\numberline {7.1}\bf Future Work}{17}{}%
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\contentsline {section}{\hspace {-\parindent }NOMENCLATURE}{18}{}%
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\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{18}{}%
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\contentsline {section}{\hspace {-\parindent }APPENDIX A:\ \ {\bf \uppercase {THE FIRST APPENDIX}} }{20}{}%
\contentsline {section}{\hspace {-\parindent }APPENDIX B:\ \ {\bf \uppercase {THE SECOND APPENDIX}} }{21}{}%
\contentsline {section}{\numberline {B.1}\bf A Heading in an Appendix}{21}{}%
\contentsline {subsection}{\numberline {B.1.1}\it A Subheading in an Appendix}{21}{}%
\contentsline {subsubsection}{A Sub-subsection in an Appendix}{21}{}%