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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 Compliance}{2}{}%
\contentsline {subsection}{\numberline {1.2.1}\it Introduction to Compliance Graphs}{2}{}%
\contentsline {subsection}{\numberline {1.2.2}\it Defining Compliance Graphs}{2}{}%
\contentsline {subsection}{\numberline {1.2.3}\it Difficulties of Compliance Graphs and Introduction to Thesis Work}{3}{}%
\contentsline {section}{\numberline {1.3}\bf Objectives and Contributions}{4}{}%
\contentsline {chapter}{\numberline {CHAPTER 2: }{\bf \uppercase {RELATED WORKS}}}{5}{}%
\contentsline {section}{\numberline {2.1}\bf Introduction to Graph Generation}{5}{}%
\contentsline {section}{\numberline {2.2}\bf Graph Generation Improvements}{5}{}%
\contentsline {section}{\numberline {2.3}\bf Improvements Specific to Attack Graph Generation}{6}{}%
\contentsline {chapter}{\numberline {CHAPTER 3: }{\bf \uppercase {UTILITY EXTENSIONS TO THE RAGE ATTACK GRAPH GENERATOR}}}{8}{}%
\contentsline {section}{\numberline {3.1}\bf Path Walking}{8}{}%
\contentsline {section}{\numberline {3.2}\bf Compound Operators}{8}{}%
\contentsline {section}{\numberline {3.3}\bf Color Coding}{10}{}%
\contentsline {section}{\numberline {3.4}\bf Intermediate Database Storage}{11}{}%
\contentsline {subsection}{\numberline {3.4.1}\it Memory Constraint Difficulties}{11}{}%
\contentsline {subsection}{\numberline {3.4.2}\it Maximizing Performance with Intermediate Database Storage}{13}{}%
\contentsline {subsection}{\numberline {3.4.3}\it Portability}{15}{}%
\contentsline {section}{\numberline {3.5}\bf Relational Operators}{15}{}%
\contentsline {chapter}{\numberline {CHAPTER 4: }{\bf \uppercase {SYNCHRONOUS FIRING}}}{17}{}%
\contentsline {section}{\numberline {4.1}\bf Introduction}{17}{}%
\contentsline {subsection}{\numberline {4.1.1}\it Synchronous Firing in Literature}{18}{}%
\contentsline {section}{\numberline {4.2}\bf Necessary Alterations}{19}{}%
\contentsline {subsection}{\numberline {4.2.1}\it GNU Bison and Flex}{19}{}%
\contentsline {subsection}{\numberline {4.2.2}\it PostgreSQL}{20}{}%
\contentsline {subsection}{\numberline {4.2.3}\it Compound Operators}{21}{}%
\contentsline {subsection}{\numberline {4.2.4}\it Graph Generation}{21}{}%
\contentsline {section}{\numberline {4.3}\bf Example Networks and Results}{22}{}%
\contentsline {subsection}{\numberline {4.3.1}\it Example Networks}{22}{}%
\contentsline {subsection}{\numberline {4.3.2}\it Results}{24}{}%
\contentsline {chapter}{\numberline {CHAPTER 5: }{\bf \uppercase {Utilization OF MESSAGE PASSING INTERFACE}}}{28}{}%
\contentsline {section}{\numberline {5.1}\bf Introduction to MPI Utilization for Attack Graph Generation}{28}{}%
\contentsline {section}{\numberline {5.2}\bf Necessary Components}{28}{}%
\contentsline {subsection}{\numberline {5.2.1}\it Serialization}{28}{}%
\contentsline {subsection}{\numberline {5.2.2}\it Data Consistency}{29}{}%
\contentsline {section}{\numberline {5.3}\bf Tasking Approach}{29}{}%
\contentsline {subsection}{\numberline {5.3.1}\it Introduction to the Tasking Approach}{29}{}%
\contentsline {subsection}{\numberline {5.3.2}\it Algorithm Design}{29}{}%
\contentsline {subsubsection}{Communication Structure}{32}{}%
\contentsline {subsubsection}{Task 0}{32}{}%
\contentsline {subsubsection}{Task 1}{32}{}%
\contentsline {subsubsection}{Task 2}{33}{}%
\contentsline {subsubsection}{Task 3}{35}{}%
\contentsline {subsubsection}{Task 4 and Task 5}{35}{}%
\contentsline {subsubsection}{MPI Tags}{36}{}%
\contentsline {subsection}{\numberline {5.3.3}\it Performance Expectations}{37}{}%
\contentsline {subsection}{\numberline {5.3.4}\it Results}{37}{}%
\contentsline {section}{\numberline {5.4}\bf Subgraphing Approach}{38}{}%
\contentsline {subsection}{\numberline {5.4.1}\it Introduction to the Subgraphing Approach}{40}{}%
\contentsline {subsection}{\numberline {5.4.2}\it Algorithm Design}{40}{}%
\contentsline {subsubsection}{Worker Nodes}{41}{}%
\contentsline {subsubsection}{Root Node}{42}{}%
\contentsline {subsubsection}{Database Node}{43}{}%
\contentsline {subsection}{\numberline {5.4.3}\it Performance Expectations}{43}{}%
\contentsline {subsection}{\numberline {5.4.4}\it Results}{44}{}%
\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {PERFORMANCE ANALYSIS}}}{45}{}%
\contentsline {section}{\numberline {6.1}\bf Small Networks}{45}{}%
\contentsline {subsection}{\numberline {6.1.1}\it Test Information}{45}{}%
\contentsline {subsection}{\numberline {6.1.2}\it Results}{45}{}%
\contentsline {subsection}{\numberline {6.1.3}\it Analysis}{45}{}%
\contentsline {section}{\numberline {6.2}\bf Large Networks}{45}{}%
\contentsline {subsection}{\numberline {6.2.1}\it Test Information}{45}{}%
\contentsline {subsection}{\numberline {6.2.2}\it Results}{45}{}%
\contentsline {subsection}{\numberline {6.2.3}\it Analysis}{45}{}%
\contentsline {section}{\numberline {6.3}\bf Large Exploit Lists}{45}{}%
\contentsline {subsection}{\numberline {6.3.1}\it Test Information}{45}{}%
\contentsline {subsection}{\numberline {6.3.2}\it Results}{45}{}%
\contentsline {subsection}{\numberline {6.3.3}\it Analysis}{45}{}%
\contentsline {section}{\numberline {6.4}\bf Distributed Hash Tables}{45}{}%
\contentsline {subsection}{\numberline {6.4.1}\it Test Information}{46}{}%
\contentsline {subsection}{\numberline {6.4.2}\it Results}{46}{}%
\contentsline {subsection}{\numberline {6.4.3}\it Analysis}{46}{}%
\contentsline {chapter}{\numberline {CHAPTER 7: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{47}{}%
\contentsline {section}{\numberline {7.1}\bf Future Work}{47}{}%
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\contentsline {section}{\hspace {-\parindent }NOMENCLATURE}{48}{}%
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\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{48}{}%
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\contentsline {section}{\hspace {-\parindent }APPENDIX A:\ \ {\bf \uppercase {THE FIRST APPENDIX}} }{51}{}%
\contentsline {section}{\hspace {-\parindent }APPENDIX B:\ \ {\bf \uppercase {THE SECOND APPENDIX}} }{52}{}%
\contentsline {section}{\numberline {B.1}\bf A Heading in an Appendix}{52}{}%
\contentsline {subsection}{\numberline {B.1.1}\it A Subheading in an Appendix}{52}{}%
\contentsline {subsubsection}{A Sub-subsection in an Appendix}{52}{}%