From 24092ba28dfe1342809c44cb7e81ab9f095ae4db Mon Sep 17 00:00:00 2001 From: noah Date: Mon, 2 May 2022 21:46:16 -0500 Subject: [PATCH] Katz, K-path edge, Page Rank, Transitive Closure, beginning of Dominant Tree --- Report/Bibliography.bib | 78 ++++++++ Report/Schrick-Noah_CS-7863_Final-Report.aux | 65 ++++--- Report/Schrick-Noah_CS-7863_Final-Report.bbl | 29 +++ Report/Schrick-Noah_CS-7863_Final-Report.blg | 61 +++---- Report/Schrick-Noah_CS-7863_Final-Report.log | 176 ++++++++++++------- Report/Schrick-Noah_CS-7863_Final-Report.pdf | Bin 161981 -> 306685 bytes Report/Schrick-Noah_CS-7863_Final-Report.tex | 75 ++++++-- Report/Schrick-Noah_CS-7863_Final-Report.toc | 20 +-- Report/images/Transitive-closure.png | Bin 0 -> 102705 bytes Report/images/pre-Dtree.png | Bin 0 -> 25214 bytes 10 files changed, 370 insertions(+), 134 deletions(-) create mode 100644 Report/images/Transitive-closure.png create mode 100644 Report/images/pre-Dtree.png diff --git a/Report/Bibliography.bib b/Report/Bibliography.bib index 063a7a1..90089ba 100644 --- a/Report/Bibliography.bib +++ b/Report/Bibliography.bib @@ -1356,4 +1356,82 @@ of 27}, journal={2017 American Control Conference (ACC)}, year={2017}, pages={5001-5006} +} + +@book{newman2010networks, + title={Networks: An Introduction}, + author={Newman, M.E.J.}, + isbn={9780191594175}, + url={https://books.google.com/books?id=sgSlvgEACAAJ}, + year={2010}, + publisher={Oxford University Press} +} + +@article{K_Path_Edge, + doi = {10.1016/j.knosys.2012.01.007}, + url = {https://doi.org/10.1016%2Fj.knosys.2012.01.007}, + year = 2012, + month = {jun}, + publisher = {Elsevier {BV}}, + volume = {30}, + pages = {136--150}, + author = {Pasquale De Meo and Emilio Ferrara and Giacomo Fiumara and Angela Ricciardello}, + title = {A novel measure of edge centrality in social networks}, + journal = {Knowledge-Based Systems} +} + +@article{Adapted_PageRank, + title={An algorithm for ranking the nodes of an urban network based on the concept of PageRank vector}, + author={Taras Agryzkov and Jos{\'e} Luis Oliver and Leandro Tortosa and Jos{\'e}-Francisco Vicent}, + journal={Appl. Math. Comput.}, + year={2012}, + volume={219}, + pages={2186-2193} +} + +@article{PageRank, +title = {The anatomy of a large-scale hypertextual Web search engine}, +journal = {Computer Networks and ISDN Systems}, +volume = {30}, +number = {1}, +pages = {107-117}, +year = {1998}, +note = {Proceedings of the Seventh International World Wide Web Conference}, +issn = {0169-7552}, +doi = {https://doi.org/10.1016/S0169-7552(98)00110-X}, +url = {https://www.sciencedirect.com/science/article/pii/S016975529800110X}, +author = {Sergey Brin and Lawrence Page}, +keywords = {World Wide Web, Search engines, Information retrieval, PageRank, Google}, +abstract = {In this paper, we present Google, a prototype of a large-scale search engine which makes heavy use of the structure present in hypertext. Google is designed to crawl and index the Web efficiently and produce much more satisfying search results than existing systems. The prototype with a full text and hyperlink database of at least 24 million pages is available at http://google.stanford.edu/ To engineer a search engine is a challenging task. Search engines index tens to hundreds of millions of Web pages involving a comparable number of distinct terms. They answer tens of millions of queries every day. Despite the importance of large-scale search engines on the Web, very little academic research has been done on them. Furthermore, due to rapid advance in technology and Web proliferation, creating a Web search engine today is very different from three years ago. This paper provides an in-depth description of our large-scale Web search engine — the first such detailed public description we know of to date. Apart from the problems of scaling traditional search techniques to data of this magnitude, there are new technical challenges involved with using the additional information present in hypertext to produce better search results. This paper addresses this question of how to build a practical large-scale system which can exploit the additional information present in hypertext. Also we look at the problem of how to effectively deal with uncontrolled hypertext collections where anyone can publish anything they want.} +} + +@article{PageRank_Survey, +author = { Pavel Berkhin }, +title = {A Survey on PageRank Computing}, +journal = {Internet Mathematics}, +volume = {2}, +number = {1}, +pages = {73-120}, +year = {2005}, +publisher = {Taylor & Francis}, +doi = {10.1080/15427951.2005.10129098}, +URL = {https://doi.org/10.1080/15427951.2005.10129098}, +eprint = {https://doi.org/10.1080/15427951.2005.10129098} +} + +@inproceedings{dominance, +author = {Prosser, Reese T.}, +title = {Applications of Boolean Matrices to the Analysis of Flow Diagrams}, +year = {1959}, +isbn = {9781450378680}, +publisher = {Association for Computing Machinery}, +address = {New York, NY, USA}, +url = {https://doi.org/10.1145/1460299.1460314}, +doi = {10.1145/1460299.1460314}, +abstract = {Any serious attempt at automatic programming of large-scale digital computing machines must provide for some sort of analysis of program structure. Questions concerning order of operations, location and disposition of transfers, identification of subroutines, internal consistency, redundancy and equivalence, all involve a knowledge of the structure of the program under study, and must be handled effectively by any automatic programming system.}, +booktitle = {Papers Presented at the December 1-3, 1959, Eastern Joint IRE-AIEE-ACM Computer Conference}, +pages = {133–138}, +numpages = {6}, +location = {Boston, Massachusetts}, +series = {IRE-AIEE-ACM '59 (Eastern)} } \ 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 8b5df99..3781cd9 100644 --- a/Report/Schrick-Noah_CS-7863_Final-Report.aux +++ b/Report/Schrick-Noah_CS-7863_Final-Report.aux @@ -1,15 +1,16 @@ \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} \@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{newman2010networks} \citation{Mieghem2018DirectedGA} \citation{Mieghem2018DirectedGA} \citation{ming_diss} @@ -25,38 +26,60 @@ \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 } +\newlabel{sec:networks}{{3}{4}} +\@writefile{toc}{\contentsline {section}{\numberline {4}Centralities and their Applications to 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+\citation{li_combining_2019} +\citation{zeng_cyber_2017} +\citation{dominance} +\@writefile{toc}{\contentsline {section}{\numberline {5}Transitive Closure}{8}{}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Introduction and Application}{8}{}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Example of Transitive Closure\relax }}{9}{}\protected@file@percent } +\newlabel{fig:TC}{{1}{9}} +\@writefile{toc}{\contentsline {section}{\numberline {6}Dominant Tree}{9}{}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Introduction and Application}{9}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {7}Results and Result Analysis}{9}{}\protected@file@percent } +\newlabel{sec:results}{{7}{9}} +\@writefile{toc}{\contentsline {section}{\numberline {8}Conclusions and Future Work}{9}{}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Example Network for Illustrating Dominance\relax }}{10}{}\protected@file@percent } +\newlabel{fig:TC}{{2}{10}} \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} +\bibcite{newman2010networks}{6} +\bibcite{Mieghem2018DirectedGA}{7} +\bibcite{ming_diss}{8} +\bibcite{Guo2017HermitianAM}{9} +\bibcite{Brualdi2010SpectraOD}{10} +\bibcite{noauthor_health_1996}{11} +\bibcite{PCI}{12} +\bibcite{PMID:30064421}{13} +\bibcite{Katz}{14} +\bibcite{K_Path_Edge}{15} +\@writefile{toc}{\contentsline {section}{Bibliography}{11}{}\protected@file@percent } +\bibcite{PageRank}{16} +\bibcite{Adapted_PageRank}{17} +\bibcite{li_combining_2019}{18} +\bibcite{zeng_cyber_2017}{19} \bibstyle{ieeetr} -\@writefile{toc}{\contentsline {section}{Bibliography}{7}{}\protected@file@percent } -\gdef \@abspage@last{7} +\gdef \@abspage@last{12} diff --git a/Report/Schrick-Noah_CS-7863_Final-Report.bbl b/Report/Schrick-Noah_CS-7863_Final-Report.bbl index b97e4ee..5dde8a4 100644 --- a/Report/Schrick-Noah_CS-7863_Final-Report.bbl +++ b/Report/Schrick-Noah_CS-7863_Final-Report.bbl @@ -26,6 +26,10 @@ N.~Baloyi and P.~Kotzé, ``Guidelines for {Data} {Privacy} {Compliance}: {A} E.~Allman, ``Complying with {Compliance}: {Blowing} it off is not an option.,'' {\em ACM Queue}, vol.~4, no.~7, 2006. +\bibitem{newman2010networks} +M.~Newman, {\em Networks: An Introduction}. +\newblock Oxford University Press, 2010. + \bibitem{Mieghem2018DirectedGA} P.~V. Mieghem, ``Directed graphs and mysterious complex eigenvalues,'' 2018. @@ -62,4 +66,29 @@ M.~Ashtiani, A.~Salehzadeh-Yazdi, Z.~Razaghi-Moghadam, H.~Hennig, L.~Katz, ``{A new status index derived from sociometric analysis},'' {\em Psychometrika}, vol.~18, pp.~39--43, March 1953. +\bibitem{K_Path_Edge} +P.~D. Meo, E.~Ferrara, G.~Fiumara, and A.~Ricciardello, ``A novel measure of + edge centrality in social networks,'' {\em Knowledge-Based Systems}, vol.~30, + pp.~136--150, jun 2012. + +\bibitem{PageRank} +S.~Brin and L.~Page, ``The anatomy of a large-scale hypertextual web search + engine,'' {\em Computer Networks and ISDN Systems}, vol.~30, no.~1, + pp.~107--117, 1998. +\newblock Proceedings of the Seventh International World Wide Web Conference. + +\bibitem{Adapted_PageRank} +T.~Agryzkov, J.~L. Oliver, L.~Tortosa, and J.-F. Vicent, ``An algorithm for + ranking the nodes of an urban network based on the concept of pagerank + vector,'' {\em Appl. Math. Comput.}, vol.~219, pp.~2186--2193, 2012. + +\bibitem{li_combining_2019} +M.~Li, P.~Hawrylak, and J.~Hale, ``Combining {OpenCL} and {MPI} to support + heterogeneous computing on a cluster,'' {\em ACM International Conference + Proceeding Series}, 2019. + +\bibitem{zeng_cyber_2017} +K.~Zeng, ``Cyber {Attack} {Analysis} {Based} on {Markov} {Process} {Model},'' + 2017. + \end{thebibliography} diff --git a/Report/Schrick-Noah_CS-7863_Final-Report.blg b/Report/Schrick-Noah_CS-7863_Final-Report.blg index 1515a6b..d6707ec 100644 --- a/Report/Schrick-Noah_CS-7863_Final-Report.blg +++ b/Report/Schrick-Noah_CS-7863_Final-Report.blg @@ -4,45 +4,46 @@ The top-level auxiliary file: Schrick-Noah_CS-7863_Final-Report.aux The style file: ieeetr.bst Database file #1: Bibliography.bib Warning--empty booktitle in Mieghem2018DirectedGA -You've used 13 entries, +Warning--empty journal in zeng_cyber_2017 +You've used 19 entries, 1876 wiz_defined-function locations, - 558 strings with 5746 characters, -and the built_in function-call counts, 2480 in all, are: -= -- 239 -> -- 87 + 592 strings with 6758 characters, +and the built_in function-call counts, 3982 in all, are: += -- 389 +> -- 142 < -- 0 -+ -- 36 -- -- 23 -* -- 156 -:= -- 372 -add.period$ -- 17 -call.type$ -- 13 -change.case$ -- 12 ++ -- 57 +- -- 38 +* -- 257 +:= -- 584 +add.period$ -- 25 +call.type$ -- 19 +change.case$ -- 17 chr.to.int$ -- 0 -cite$ -- 14 -duplicate$ -- 131 -empty$ -- 266 -format.name$ -- 23 -if$ -- 607 +cite$ -- 21 +duplicate$ -- 210 +empty$ -- 411 +format.name$ -- 38 +if$ -- 978 int.to.chr$ -- 0 -int.to.str$ -- 13 -missing$ -- 9 -newline$ -- 48 -num.names$ -- 12 -pop$ -- 55 +int.to.str$ -- 19 +missing$ -- 16 +newline$ -- 68 +num.names$ -- 18 +pop$ -- 74 preamble$ -- 1 purify$ -- 0 quote$ -- 0 -skip$ -- 67 +skip$ -- 117 stack$ -- 0 -substring$ -- 84 -swap$ -- 35 +substring$ -- 180 +swap$ -- 66 text.length$ -- 0 text.prefix$ -- 0 top$ -- 0 type$ -- 0 -warning$ -- 1 -while$ -- 20 -width$ -- 15 -write$ -- 124 -(There was 1 warning) +warning$ -- 2 +while$ -- 33 +width$ -- 21 +write$ -- 181 +(There were 2 warnings) diff --git a/Report/Schrick-Noah_CS-7863_Final-Report.log b/Report/Schrick-Noah_CS-7863_Final-Report.log index d57b8b5..e03c436 100644 --- a/Report/Schrick-Noah_CS-7863_Final-Report.log +++ b/Report/Schrick-Noah_CS-7863_Final-Report.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Arch Linux) (preloaded format=pdflatex 2022.4.29) 2 MAY 2022 19:02 +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Arch Linux) (preloaded format=pdflatex 2022.4.29) 2 MAY 2022 21:45 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -139,6 +139,9 @@ Package babel Info: You haven't specified a language. 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Li ke attack graphs, [] -Overfull \hbox (10.93585pt too wide) in paragraph at lines 40--41 +Overfull \hbox (10.93585pt too wide) in paragraph at lines 41--42 \OT1/cmr/m/n/10 to also examine administrative policies and properties of syste ms. Since compliance [] -Overfull \hbox (2.69524pt too wide) in paragraph at lines 40--41 +Overfull \hbox (2.69524pt too wide) in paragraph at lines 41--42 \OT1/cmr/m/n/10 and regulation is broad and can vary by industry and applicatio n, the information [] [2] -Overfull \hbox (10.74141pt too wide) in paragraph at lines 49--50 +Overfull \hbox (10.74141pt too wide) in paragraph at lines 50--51 \OT1/cmr/m/n/10 cooperation to training and administrative policies. 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Phillips and L. P. Swiler, ``A graph-based system for netw ork- [] -Underfull \hbox (badness 10000) in paragraph at lines 45--48 +Underfull \hbox (badness 10000) in paragraph at lines 49--52 []\OT1/cmr/m/n/10 ``Health Insurance Portability and Accountability Act of [] -Underfull \hbox (badness 10000) in paragraph at lines 45--48 +Underfull \hbox (badness 10000) in paragraph at lines 49--52 \OT1/cmr/m/n/10 1996.'' Pub. L. No. 104-191. 1996 [Online]. Available: [] -Underfull \hbox (badness 10000) in paragraph at lines 45--48 +Underfull \hbox (badness 10000) in paragraph at lines 49--52 \OT1/cmr/m/n/10 https://www.govinfo.gov/content/pkg/PLAW-104publ191/html/PLAW- [] -Underfull \hbox (badness 10000) in paragraph at lines 50--54 +Underfull \hbox (badness 10000) in paragraph at lines 54--58 []\OT1/cmr/m/n/10 P. S. S. Council, ``Payment Card Industry (PCI) [] -Underfull \hbox (badness 10000) in paragraph at lines 50--54 +Underfull \hbox (badness 10000) in paragraph at lines 54--58 \OT1/cmr/m/n/10 Data Security Standard,'' May 2018. Available: [] -Underfull \hbox (badness 1571) in paragraph at lines 62--64 +Underfull \hbox (badness 1571) in paragraph at lines 66--68 []\OT1/cmr/m/n/10 L. Katz, ``A new status index derived from sociometric analys is,'' [] -) [7 +[11 -] (./Schrick-Noah_CS-7863_Final-Report.aux) ) +]) [12] (./Schrick-Noah_CS-7863_Final-Report.aux) + +LaTeX Warning: There were undefined references. + + +LaTeX Warning: There were multiply-defined labels. + + ) Here is how much of TeX's memory you used: - 5376 strings out of 478238 - 96547 string characters out of 5850456 - 398315 words of memory out of 5000000 - 23553 multiletter control sequences out of 15000+600000 - 473860 words of font info for 43 fonts, out of 8000000 for 9000 + 5457 strings out of 478238 + 98314 string characters out of 5850456 + 398577 words of memory out of 5000000 + 23620 multiletter control sequences out of 15000+600000 + 474340 words of font info for 48 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 67i,8n,77p,1807b,289s stack positions out of 5000i,500n,10000p,200000b,80000s - -Output written on Schrick-Noah_CS-7863_Final-Report.pdf (7 pages, 161981 bytes) -. + +Output written on Schrick-Noah_CS-7863_Final-Report.pdf (12 pages, 306685 bytes +). 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