1. Graph Theory - Wikipedia, The Free Encyclopedia Boost an open source C++ graph theory library; Eric W. Weisstein, Graph Theory at MathWorld. Retrieved from http//en.wikipedia.org/wiki/graph_theory http://en.wikipedia.org/wiki/Graph_theory

Graph theory From Wikipedia, the free encyclopedia Jump to: navigation search A drawing of a graph. In mathematics and computer science graph theory is the study of graphs ; mathematical structures used to model pairwise relations between objects from a certain collection. A "graph" in this context refers to a collection of vertices or 'nodes' and a collection of edges that connect pairs of vertices. A graph may be undirected , meaning that there is no distinction between the two vertices associated with each edge, or its edges may be directed from one vertex to another; see graph (mathematics) for more detailed definitions and for other variations in the types of graphs that are commonly considered. The graphs studied in graph theory should not be confused with " graphs of functions " and other kinds of graphs Please refer to Glossary of graph theory for some basic definitions in graph theory. Contents History Drawing graphs Graph-theoretic data structures List structures ... edit History The K¶nigsberg Bridge problem. The paper written by Leonhard Euler on the Seven Bridges of K¶nigsberg and published in is regarded as the first paper in the history of graph theory.

2. Graph Theory Techniques In Model-Based Testing Semantic Platforms Test Group. Microsoft Corporation. Abstract. Models are a method of representing software behavior. Graph theory is an area of http://www.geocities.com/harry_robinson_testing/graph_theory.htm

Presented at the 1999 International Conference on Testing Computer Software Graph Theory Techniques in Model-Based Testing Harry Robinson Semantic Platforms Test Group Microsoft Corporation Abstract Models are a method of representing software behavior. Graph theory is an area of mathematics that can help us use this model information to test applications in many different ways. This paper describes several graph theory techniques, where they came from, and how they can be used to improve software testing. What’s Wrong with Traditional Software Testing? Traditional software testing consists of the tester studying the software system and then writing and executing individual test scenarios that exercise the system. These scenarios are individually crafted and then can be executed either manually or by some form of capture/playback test tool. This method of creating and running tests faces at least two large challenges: First, these traditional tests will suffer badly from the “pesticide paradox” (Beizer, 1990) in which tests become less and less useful at catching bugs, because the bugs they were intended to catch have been caught and fixed. Second, handcrafted test scenarios are static and difficult to change, but the software under test is dynamically evolving as functions are added and changed. When new features change the appearance and behavior of the existing software, the tests must be modified to fit. If it is difficult to update the tests, it will be hard to justify the test maintenance costs.

3. CiteULike: Tag Graph_theory [88 Articles] posted to source graph_theory analysis by V on 200801-18 194140 as read posted to social_network network_analysis graph_theory centrality 2006 by http://www.citeulike.org/tag/graph_theory

Register Log in FAQ Sponsored link CiteULike News CiteGeist Discussion Journals Browse current issues Groups Search groups Tag graph_theory [88 articles] Recent papers classified by the tag graph_theory. Dex: a semantic-graph differencing tool for studying changes in large code bases Software Maintenance, 2004. Proceedings. 20th IEEE International Conference on (2004), pp. 188-197. by S Raghavan , R Rohana , D Leon , A Podgurski , V Augustine posted to source analysis by V on 2008-01-18 19:41:40 as along with 3 people heap hayashi aesboe ... Graph Theory (Graduate Texts in Mathematics) (22 August 2005) by Reinhard Diestel posted to by tpoff on 2005-11-15 21:49:08 as along with 4 people yaroslavvb koerner msn ... Maximizing the sum of the squares of the degrees of a graph Discrete Mathematics , Vol. 285, No. 1-3. (6 August 2004), pp. 57-66. by Kinkar C Das posted to by tmmurali on 2007-11-13 14:34:29 as along with 1 group A Graph-theoretic perspective on centrality Social Networks , Vol. 28, No. 4. (October 2006), pp. 466-484. by Stephen P Borgatti , Martin G Everett posted to centrality by supersonnig on 2007-12-14 13:58:54 as along with 2 people georgiad ddahlem Treewidth: Computational Experiments by A Koster , H Bodlaender , J Fouhy , S van Hoesel posted to complexity treewidth by stavros on 2006-05-04 17:43:15 as along with 1 person jrw Modularization of biochemical networks based on classification of Petri net t-invariants BMC Bioinformatics , Vol. 9, No. 1. (2008)

4. Graph_theory - SWiK Move graph_theory? Moving this page will change its URL and content tagged Erase graph_theory? The contents of graph_theory page and all pages directly http://swik.net/graph_theory

SWiK login / register changes) Your tags: or Cancel New Page Wiki RSS Feed Blog Bookmarks Enter RSS URL to Syndicate here: (Feed found, click Add Page to syndicate.) Error finding feed, please try again A Blog Page allows you to add entries, for news or other time sensitive postings A Bookmarks page is a really simple list of links - ordered by date. Enter a title for this page this list of links the feed this blog Formatting help Login required to save to your tagged pages.) Add to your tagged pages? Enter space separated tags: (or Cancel var g_swipEditType = 'wiki'; var g_swipChangeType = 'wiki'; Wiki Page Open Source Project Finding project information from the web - complete. Preview Formatting Preview your edits: Make further edits (or Cancel Homepage Author License Login required to save to your tagged pages.)

5. Wiley :: Arlinghaus - Graph Theory . Available only as a highly interactive ebook, this revolutionary volume allows mathematicians and geographers to view graph theory in a new...... http://www.wiley.com/legacy/graph_theory/index.html

wiley.com Graph Theory and Geography An Interactive View Sandra L. Arlinghaus, William C. Arlinghaus, and Frank Harary ISBN: 0-471-41189-2 e-Book Price: $49.95 Description About the e-book About the Authors Table of Contents ... Demo Version Description Available only as a highly interactive e-book, this revolutionary volume allows mathematicians and geographers to view graph theory in a new and vibrant way. The electronic format takes full advantage of online tools such as animation and Java™ applets to allow readers to follow processes as they happen, while hyperlinks allow readers to move easily through the text for quick reference to theorems or definitions. Features of the e-book include: Flexibility of coverage and pedagogy Each chapter is linked to a complementary chapter in which the mathematics behind the examples are explained fully. Geographic examples from Los Angeles to Berlin and from freeways to pneumatic tube systems showcase the synthetic nature of graph theory and geography, and build the readers interest so that new applications will ensue. Four-color graphics are used throughout.

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Web Shopping Articles Local ... Search Engine Marketing Search for: in: All The Internet Images Google Yahoo Altavista Fast Ask Jeeves Lycos MSN Wisenut Hotbot AOL Search Teoma Home Internet Search Directory Shopping Search Local Search ... Search Engine Marketing Graph Theory Home Science Math Combinatorics ... Software Sites in Graph Theory A Constructive Approach to Graph Theory Notes on a semiotic approach to constructing isomorphism invariants of graphs by John-Tagore Tevet. http://www.hot.ee/tewet/ A Journey through Intersection Graph County By Erich Prisner. http://www.math.uni-hamburg.de/spag/gd/mitarbeiter/prisner/Pris/Rahmen.html A Survey of Distance-Transitive Graphs By Arjeh M. Cohen. http://www.win.tue.nl/~amc/oz/dtg/survey.html Advanced Topics in Graph Algorithms Lecture notes by Ron Shamir. http://www.math.tau.ac.il/~rshamir/atga/atga.html Counting Hamilton cycles in product graphs By Frans Faase. http://home.wxs.nl/~faase009/counting.html Cubic Cages List of known cubic cages of small girth maintained by Gordon Royle. http://www.cs.uwa.edu.au:80/~gordon/cages/index.html

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Arts Business Computers Games ... ABOUT Options: Directory Entire Web Top Science Math Combinatorics Graph Theory Books Events Graph Drawing Open Problems ... Combinatorial Optimisation of Worm Propagation - By Eric Filiol, Edouard Franc, Alessandro Gubbioli, Benoit Moquet and Guillaume Roblot. http://vx.netlux.org/lib/aef05.html Harmonious Colourings - Notes and bibliography by Keith Edwards. http://www.maths.dundee.ac.uk/~kedwards/harmcol.html MERLIN - An approach to solve the asymmetric travelling salesman problem using linear optimisation with a polynomial bounded set of constraints. http://www.merlins-world.de Counting Hamilton Cycles in Product Graphs - By Frans Faase. http://www.iwriteiam.nl/counting.html Liquid Schedule Construction Algorithm - An efficient method for coloring a congestion graph by Emin Gabrielyan. http://4z.com/people/emin-gabrielyan/public/060811-liquid-schedule/ Capillary Multi-Path Routing in a Network of a Directed Symmetric Graph - By Emin Gabrielyan. http://switzernet.com/people/emin-gabrielyan/060124-capillary-aron-article/ Traveling Salesman Problem - These pages report the history of the TSP and ongoing work to solve large instances.

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Novi upisi Hot Top Nas Izbor ... DIR Search: search the entire directory search this category only Top Science Math Combinatorics ... Erd¶s, Paul See also: Science: Math: Combinatorics: People Science: Math: Mathematicians Ashay Dharwadker - Algebra, topology, graph theory and theoretical computer science. Bela Bollobas - Functional analysis, combinatorics and graph theory. Binh Minh Bui Xuan - Graph theory, graph algorithms and computation. Dan Archdeacon - Topological graph theory, combinatorics, theoretical computer science. David Penman - Random graphs, computational combinatorics. Erdos Number Project - List of people with Erdos number at most 2. Fabien de Montgolfier - Modular decomposition, graph theory and algorithms. Gordon Royle - Algebraic graph theory. Graph Theory White Pages - Directory of graph theorists maintained by Daniel P. Sanders. Hubert de Fraysseix - Topological graph theory and combinatorics. Julien Moncel - Identifying codes in graphs, combinatorics, graph theory and computer science. Keith Edwards - Harmonious colourings and achromatic number. Pirzada Shariefuddin - Graph theory and applications.

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