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Subgraphing Root and Database Nodes

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Noah L. Schrick 2022-03-21 11:12:37 -05:00
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@ -172,7 +172,19 @@ The design of the subgraphing approach is devised of three main components: work
Each worker node will start each iteration of its while loop by checking for the finalize message or for a new state to receive. If no message is available to receive, it will continue to wait until one is available. Each worker node will continue this process until the finalize message is received, where it will exit the generation process. When a worker node receives a new state, it will follow the original graph generation process with a modification in the exploration approach. Since other nodes will also be generating subgraphs, using a breadth-first search is not the ideal option since the amount of duplicate work would be increased. Instead, the graph generation will utilize a depth-first search approach, where each node will explore up to a specified depth level. This depth level is specified before the generation process begins, so additional tuning can be performed as desired. After either the depth limit is reached, or no other states are reachable to be explored, the node will return its local frontier (if the node still has unexplored states it did not explore) and its generated subgraph. The node will then proceed to wait for a new message from the root node.
\TUsubsubsection{Root Node}
The root node is responsible for two main portions of the subgraphing approach - the distribution of work and the merging of results. The subgraphing approach begins by distributing the only state that is known at the beginning of the generation process to a single node. Once the node returns, two functions may occur. If the node indicates that there are still more states to explore, then the worker node's frontier gets merged with the root node's frontier. If the node discovered new states, then its subgraph gets merged with the root node's graph. This process occurs as long as there are more states to explore. The frontier merging process takes the worker node's frontier and emplaces it to the back of the root node's frontier, with an additional marker. Since each worker node follows a depth-first search, if two worker nodes pop from the front of the queue, there is a high likelihood that the worker nodes are exploring the same segment of the graph, resulting in more duplicate work. To prevent this, each worker node attempts to explore the same segment of the graph throughout the generation process. When the frontiers are merged, the root node includes an additional marker for each worker node to indicate where the end of a node's frontier is in relation to the overall root frontier. When distributing work to a worker node, the root node will pull a state from the queue at a position equal to the node marker. If no marker is found for a worker node and the queue is not empty, then a random state is pulled from the queue instead. Figure \ref{fig:front-merg} displays the frontier merging process along with the data distribution.
\begin{figure}[htp]
\includegraphics[width=\linewidth]{"./Chapter5_img/front_merge.drawio.png"}
\vspace{.2truein} \centerline{}
\caption{Frontier Merging and Data Distribution Process}
\label{fig:front-merg}
\end{figure}
The root node is also responsible for merging the subgraphs. The root node will receive a subgraph from each node if a subgraph exists, and add all unseen states to the root graph. This is conducted using the hash of each state, since using the state ID is inconsistent across worker nodes. If a state already exists in the root graph, the duplicate state is not added. Likewise, edges are added if the edge has not already been added to the root graph. For the subgraphing approach, edges have been slightly altered from having class members of ''From{\_}State{\_}ID" and ''To{\_}State{\_}ID" to ''From{\_}State{\_}Hash" and ''To{\_}State{\_}Hash" to ensure consistency across nodes.
\TUsubsubsection{Database Node}
A node dedicated to database operations is also present in this approach. The work performed for the subgraphing approach is identical to the work performed by Tasks 4 and 5 in the tasking approach, which is discussed in Section \ref{sec:T4T5}.
\TUsubsection{Performance Expectations}

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@ -62,35 +62,35 @@
\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}{41}{}%
\contentsline {subsubsection}{Database Node}{42}{}%
\contentsline {subsection}{\numberline {5.4.3}\it Performance Expectations}{42}{}%
\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {PERFORMANCE ANALYSIS}}}{43}{}%
\contentsline {section}{\numberline {6.1}\bf Small Networks}{43}{}%
\contentsline {subsection}{\numberline {6.1.1}\it Test Information}{43}{}%
\contentsline {subsection}{\numberline {6.1.2}\it Results}{43}{}%
\contentsline {subsection}{\numberline {6.1.3}\it Analysis}{43}{}%
\contentsline {section}{\numberline {6.2}\bf Large Networks}{43}{}%
\contentsline {subsection}{\numberline {6.2.1}\it Test Information}{43}{}%
\contentsline {subsection}{\numberline {6.2.2}\it Results}{43}{}%
\contentsline {subsection}{\numberline {6.2.3}\it Analysis}{43}{}%
\contentsline {section}{\numberline {6.3}\bf Large Exploit Lists}{43}{}%
\contentsline {subsection}{\numberline {6.3.1}\it Test Information}{43}{}%
\contentsline {subsection}{\numberline {6.3.2}\it Results}{43}{}%
\contentsline {subsection}{\numberline {6.3.3}\it Analysis}{43}{}%
\contentsline {section}{\numberline {6.4}\bf Distributed Hash Tables}{43}{}%
\contentsline {subsection}{\numberline {6.4.1}\it Test Information}{44}{}%
\contentsline {subsection}{\numberline {6.4.2}\it Results}{44}{}%
\contentsline {subsection}{\numberline {6.4.3}\it Analysis}{44}{}%
\contentsline {chapter}{\numberline {CHAPTER 7: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{45}{}%
\contentsline {section}{\numberline {7.1}\bf Future Work}{45}{}%
\contentsline {subsubsection}{Root Node}{42}{}%
\contentsline {subsubsection}{Database Node}{43}{}%
\contentsline {subsection}{\numberline {5.4.3}\it Performance Expectations}{43}{}%
\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {PERFORMANCE ANALYSIS}}}{44}{}%
\contentsline {section}{\numberline {6.1}\bf Small Networks}{44}{}%
\contentsline {subsection}{\numberline {6.1.1}\it Test Information}{44}{}%
\contentsline {subsection}{\numberline {6.1.2}\it Results}{44}{}%
\contentsline {subsection}{\numberline {6.1.3}\it Analysis}{44}{}%
\contentsline {section}{\numberline {6.2}\bf Large Networks}{44}{}%
\contentsline {subsection}{\numberline {6.2.1}\it Test Information}{44}{}%
\contentsline {subsection}{\numberline {6.2.2}\it Results}{44}{}%
\contentsline {subsection}{\numberline {6.2.3}\it Analysis}{44}{}%
\contentsline {section}{\numberline {6.3}\bf Large Exploit Lists}{44}{}%
\contentsline {subsection}{\numberline {6.3.1}\it Test Information}{44}{}%
\contentsline {subsection}{\numberline {6.3.2}\it Results}{44}{}%
\contentsline {subsection}{\numberline {6.3.3}\it Analysis}{44}{}%
\contentsline {section}{\numberline {6.4}\bf Distributed Hash Tables}{44}{}%
\contentsline {subsection}{\numberline {6.4.1}\it Test Information}{45}{}%
\contentsline {subsection}{\numberline {6.4.2}\it Results}{45}{}%
\contentsline {subsection}{\numberline {6.4.3}\it Analysis}{45}{}%
\contentsline {chapter}{\numberline {CHAPTER 7: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{46}{}%
\contentsline {section}{\numberline {7.1}\bf Future Work}{46}{}%
{\hfill \ }
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\contentsline {section}{\hspace {-\parindent }NOMENCLATURE}{47}{}%
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\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{46}{}%
\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{47}{}%
{\hfill \ }
\contentsline {section}{\hspace {-\parindent }APPENDIX A:\ \ {\bf \uppercase {THE FIRST APPENDIX}} }{49}{}%
\contentsline {section}{\hspace {-\parindent }APPENDIX B:\ \ {\bf \uppercase {THE SECOND APPENDIX}} }{50}{}%
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\contentsline {section}{\hspace {-\parindent }APPENDIX B:\ \ {\bf \uppercase {THE SECOND APPENDIX}} }{51}{}%
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\contentsline {subsection}{\numberline {B.1.1}\it A Subheading in an Appendix}{51}{}%
\contentsline {subsubsection}{A Sub-subsection in an Appendix}{51}{}%