41. Dan Archdeacon's Home Page Topological graph theory, combinatorics, theoretical computer science. http://www.emba.uvm.edu/~archdeac/

42. What Is Graph Theory? Definition From WhatIs.com Graph theory is the study of points and lines. In particular, it involves the ways in which sets of points, called vertices, can be connected by lines or arcs, called edges. http://whatis.techtarget.com/definition/0,,sid9_gci934747,00.html

graph theory HOME SEARCH BROWSE BY CATEGORY BROWSE BY ALPHABET ... WHITE PAPERS Search our IT-specific encyclopedia for: Browse alphabetically: A B C D ... Hardware graph theory Graph theory is the study of points and lines. In particular, it involves the ways in which sets of points, called vertices, can be connected by lines or arcs, called edges. Graphs in this context differ from the more familiar coordinate plots that portray mathematical relations and functions. Graphs are classified according to their complexity, the number of edges allowed between any two vertices, and whether or not directions (for example, up or down) are assigned to edges. Various sets of rules result in specific properties that can be stated as theorems. Graph theory has proven useful in the design of integrated circuits ( IC s) for computers and other electronic devices. These components, more often called chip s, contain complex, layered microcircuits that can be represented as sets of points interconnected by lines or arcs. Using graph theory, engineers develop chips with maximum component density and minimum total interconnecting conductor length. This is important for optimizing processing speed and electrical efficiency. Last updated on: Sep 21, 2005

43. Stephen C. Locke Graph theory and algorithms. http://www.math.fau.edu/locke/

S.C. Locke Note : The mathematics server is now "math.fau.edu" rather than "www.math.fau.edu". If pages don't load, please snip the "www" from the URL. How to contact me Problem of the Week BA/BS Checkout Sheet (* add MAT 4937 *), BA Flow Chart BS Flow Chart Mathematics Introductory Sequences Sample 4-year schedule ... The national test (Grade 8) Background Information Professor, Department of Mathematical Sciences Florida Atlantic University Ph.D. in Combinatorics and Optimization University of Waterloo Ph.D. Supervisor: Professor J.A. Bondy Thesis title: Extremal Properties of Paths, Cycles and k-Colourable Subgraphs of Graphs Academic Family Tree , prepared by David Wood. M.Math. ( Combinatorics and Optimization University of Waterloo B.Math. ( Combinatorics and Optimization and Pure Mathematics University of Waterloo , 1975. Putnam competitor for all four years. Our team won in 1974. Married since 1974 to Joanne Thomson Locke B.Math. 1977, B.A. 1979, U.W. Sons Daniel , A.A. seeking at

44. Dr. Bela Bollobas Functional analysis, combinatorics and graph theory. http://www.msci.memphis.edu/faculty/bollobasb.html

Dr. Bela Bollobas Professor Hardin Chair of Excellence in Combinatorics D. Sc., Cambridge University, 1985 Ph.D., Cambridge University, 1972 Dr. Rer. Nat., Budapest, 1967 Department of Mathematical Sciences The University of Memphis Memphis, TN 38152-3240 Office: 243 Winfield Dunn Phone: (901) 678-5610 Fax: (901) 678-2480 email: bollobas@msci.memphis.edu Research interests: functional analysis and combinatorics. Mathematical Sciences Faculty Department of Mathematical Sciences

45. GRAPH-THEORY.LOVE.COM | All Things Graph Theory Research firm Gartner has published the latest update to its Hype Cycle for Emerging Technologies, which graphs the uptake of new products and inventions. http://graph-theory.love.com/

46. Rich Lundgren Applied graph theory and combinatorial matrix theory. http://www-math.cudenver.edu/~rlundgre/

47. Graph Theory » Bondy And Murty Entry Details. You’re currently reading “Bondy and Murty,” an entry on Graph Theory. Published January 12, 2008 around 12pm Category Photos Comments http://blogs.springer.com/bondyandmurty/?p=81

48. Gordon Royle Algebraic graph theory. http://www.csse.uwa.edu.au/~gordon/

Combinatorial Catalogues One of my main research interests is producing catalogues of interesting combinatorial objects, such as graphs, designs, geometries and so on. Graphs Small graphs Small multigraphs Cubic graphs Symmetric cubic graphs (Foster Census) ... Cubic Cages and higher valency cages Planar graphs Cubic Planar graphs (drawings!) Strongly regular graphs (parameters) ... Constructions of Certain Graphs Regular graphs (coming) Other goodies (coming) Geometries Projective planes of order 16 Translation planes of order 49 Translation planes (coming) Sets of type (m,n) (coming) Other goodies (coming) Designs Small designs Biplanes Groups Numbers of small groups Generators of small groups

49. Graph Theorists Directory of graph theorists maintained by Daniel P. Sanders. http://www1.cs.columbia.edu/~sanders/graphtheory/people/

Graph Theorists maintained by Daniel P. Sanders as part of www.graphtheory.com Resources People Research ... Graph Theorist Families Inter-Institution Groups GRAPHNET - e-mail discussion list DIMANET - The European Network On Discrete Mathematics DIMACS - center for DIscrete MAth and Computer Science (New Jersey, USA) EIDMA - Euler Institute for Discrete Mathematics and its Applications (Netherlands) CONE - Combinatorialists Of New England CMSA - Combinatorial Mathematics Society of Australasia (Inc.) ... ECC - East Coast Combinatorics (Canada) Rankings Most Journal Articles in Graph Theory Most Journal Article Pages in Graph Theory Most Journal Articles / Authors in Graph Theory Most Journal Article Pages / Authors in Graph Theory ... Breakdown By Olympiad Sources of Info on Graph Theorists The Graph Theorists' Home Page Guide (by J. Zuther Home pages of combinatorial people and groups (by N. Calkin

50. Graph Theory -- Britannica Online Encyclopedia graph theory, branch of mathematics concerned with networks of points connected by lines. The subject of graph theory had its beginnings in recreational math problems (see http://www.britannica.com/EBchecked/topic/242012/graph-theory

document.write(''); Search Site: Advanced Search With all of these words With the exact phrase With any of these words Without these words Home SHOP BROWSE BLOG ... HELP Username: Password: Remember me Forgot your password? Help Email " is the e-mail address you used when you registered. Password " is case sensitive. If you need additional assistance, please contact customer support Enter the e-mail address you used when enrolling for Britannica Premium Service and we will e-mail your password to you. graph-theory My Britannica CREATE MY graph theory NEW ARTICLE ... SAVE graph theory Table of Contents: graph theory Article Article Additional Reading Additional Reading Related Articles Related Articles Citations Article Additional Reading Related Articles Citations Primary Contributor: Stephan C. Carlson ARTICLE from the graph theory branch of mathematics concerned with networks of points connected by lines. The subject of graph theory had its beginnings in recreational math problems ( see number game ), but it has grown into a significant area of mathematical research with applications in chemistry operations research social sciences , and computer science The history of graph theory may be specifically traced to 1735, when the Swiss mathematician

51. Binh Minh Bui Xuan Graph theory, graph algorithms and computation. http://www.lirmm.fr/~buixuan/

52. Graph Theory ICS 2010 accepted paper list is here. List with abstracts is here. Following is a list with links to pdf files. Please leave a comment if I missed any pdf files. http://graph-theory.blogspot.com/

Graph Theory Graph Theory, Mathematics, Puzzles and Fun Stuff !! Monday, November 02, 2009 ICS 2010 Accepted Papers (with pdf files) ICS 2010 accepted paper list is here . List with abstracts is here . Following is a list with links to pdf files. Please leave a comment if I missed any pdf files. If you haven't uploaded your accepted paper on your homepages/arXiv/ECCC please do so. As and when I find new files on the internet, I will update them here. Update : Slides of the talks are available online Are Stable Instances Easy? [pdf] Yonatan Bilu and Nathan Linial On the Construction of One-Way Functions from Average Case Hardness [ECCC] Noam Livne Leveraging Collusion in Combinatorial Auctions Jing Chen, Silvio Micali, and Paul Valiant Guaranteeing Perfect Revenue From Perfectly Informed Players [pdf] Jing Chen, Avinatan Hassidim, and Silvio Micali A New Look at Selfish Routing [pdf] Christos Papadimitriou and Gregory Valiant Symmetric LDPC codes and local testing Tali Kaufman and Avi Wigderson Derandomizing Algorithms on Product Distributions and Other Applications of Order-Based Extraction [pdf] Ariel Gabizon and Avinatan Hassidim Game Theory with Costly Computation [pdf] Joseph Halpern and Rafael Pass On the power of a unique quantum witness [pdf] Rahul Jain, Iordanis Kerenidis, Greg Kuperberg, Miklos Santha, Or Sattath and Shengyu Zhang

53. Http://www.g-scop.fr/~moncelj Identifying codes in graphs, combinatorics, graph theory and computer science. http://www.g-scop.fr/~moncelj/

Click here Click here

54. 05C: Graph Theory Introduction Yes, a longer introduction to graph theory will eventually appear Classified in the MSC as a subfield of 05 Combinatorics, Graph Theory has emerged as a related http://www.math.niu.edu/~rusin/known-math/index/05CXX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 05C: Graph theory Introduction [Yes, a longer introduction to graph theory will eventually appear...] Classified in the MSC as a subfield of 05: Combinatorics , Graph Theory has emerged as a related but largely independent discipline. A graph History See e.g. Wilson, Robin J.: "200 years of graph theory-a guided tour" Theory and applications of graphs (Proc. Internat. Conf., Western Mich. Univ., Kalamazoo, Mich., 1976), pp. 19. Lecture Notes in Math., Vol. 642, Springer, Berlin, 1978. MR58 #15981. A longer version appeared in book form: Biggs, Norman L.; Lloyd, E. Keith; Wilson, Robin J.: "Graph theory: 17361936" Clarendon Press, Oxford, 1976. 239 pp. MR56#2771 Applications and related fields Particularly regular graphs are related to Group Theory . This includes discussion of automorphism groups, Cayley diagrams for groups, and regular graphs. Many graph-theoretic problems can be solved by exhaustive enumeration; the questions then involve complexity. Further topics in this area are included in 68: Computer Science . (In particular this area of overlap includes topics such as the Traveling Salesman Problem, treated here.)

55. Ashay Dharwadker Algebra, topology, graph theory and theoretical computer science. http://www.dharwadker.org/profile.html

Ashay Dharwadker Born January 1, 1967, New Delhi, India Address: Institute of Mathematics, H-501 Palam Vihar, District Gurgaon, Haryana 122017, India. Website: http://www.dharwadker.org Email: ashay@dharwadker.org Research: Fundamental research in mathematics and its applications. Algebra, topology, graph theory, computer science and high energy physics. Institute of Mathematics Space, Time and Matter, http://www.dharwadker.org/space_time Baltic Horizons, Special Issue on Fundamental Problems in Mathematics, 2010. Higgs Boson Mass predicted by the Four Color Theorem, http://www.dharwadker.org/khachatryan/higgs arXiv:0912.5189 Proceedings of the Institute of Mathematics, 2009. Based on the proof of the four color theorem and the grand unification of the standard model with quantum gravity, we show how to derive the values of the famous Cabibbo angle and CKM matrix, in excellent agreement with experimental observations. We make a precise prediction for the elusive Higgs boson mass M H GeV , as a direct consequence of our theory.

56. Free Online Graph Theory Books :: FreeTechBooks.com Graph Theory The study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection. http://www.freetechbooks.com/graph-theory-f67.html

FreeTechBooks.com Free Online Computer Science and Programming Books, Textbooks, and Lecture Notes Register FAQ Search Memberlist ... Graph Theory Topics Views Advertisements Digraphs Theory, Algorithms and Applications Presents a unified and comprehensive survey of directed graphs. Covers theoretical and practical aspects, with algorithms, proofs, and applications of digraphs. Includes more than 700 exercises and 180 figures which further clarify topics. Graph Theory Lessons The entire 23 lessons of Graph Theory that utilizes a java software as an investigative tool. The software can draw, edit and manipulate simple graphs, examine properties of the graphs, and demonstrate them using computer animation. Graph Theory With Applications An introduction to graph theory. Presents the basic material, together with a wide variety of applications, both to other branches of mathematics and to real-world problems. Several good algorithms are included and their efficiencies are analysed. Graph Theory, 3rd Edition This book offers an introduction to the theory of graphs as part of (pure) mathematics; it contains neither explicit algorithms nor 'real world' applications. Graph-Theoretic Algorithms: Lecture Notes [URL's removed] Give the readers further exposure to the design, analysis, and application of algorithms for problems defined on graphs. These notes will study how to recognize various graphs classes, and what problems become easier if we have such a graph.

57. Graph Theory By Reinhard Diestel. Sites offers author and book information as well as a downloadable PDF version of the book. http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/

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58. Graph Theory this is a site introducing various terms and knowledge on graph theory. http://www.graph-theory.net/

Graph Theory Just another WordPress weblog Construction of reliable communication networks Let k be a given positive integer to determine the required connectivity of a graph. Let G be a weighted graph. Determine a minimum-weight k-connected spanning subgraph of G. If k=1, this problem reduces to find a minimum spanning tree. Kruskal’s algorithm can be applied to find such a tree. However if k is greater than one, then the above problem becomes difficult and unsolvable. Only if G is a complete graph in which each edge is assigned unit weight, then the problem has a simple solution. It is an m-connected graph H(m,n) on n vertexes and the structure of H(m,n) depends on the parities of m and n; three cases can be considered Case 1: if m=even, let m=2r, then H(2r,n) is constructed as follows. It has vertexes 0, 1, …, n-1 and two vertexes i and j are joined if i-r <=j <=(i+r)mod(n). Case 2: if m=odd, and n=even, let m=2r+1, then H(2r+1,n) is constructed by first drawing H(2r,n) and then adding edges joining vertex i to vertex i+(n/2) for 1 <=i <=n/2.

59. Oxford University Press: Graph Theory 1736-1936: Norman L. Biggs Two centuries of Graph Theory, by Norman L. Biggs, E. Keith Lloyd and Robin J. Wilson. http://www.oup.com/us/catalog/general/subject/?view=usa&sf=toc&ci=0198539169

60. Graph Theory Glossary adjacent Two vertices are adjacent if they are connected by an edge. arc A synonym for edge. See graph. articulation point See cut vertices. http://www.utm.edu/departments/math/graph/glossary.html

Graph Theory Glossary Chris Caldwell This glossary is written to supplement the Interactive Tutorials in Graph Theory . Here we define the terms that we introduce in our tutorialsyou may need to go to the library to find the definitions of more advanced terms. Please let me know of any corrections or suggestion! A B C D ... Z adjacent Two vertices are adjacent if they are connected by an edge. arc A synonym for edge. See graph articulation point See cut vertices bipartite A graph is bipartite if its vertices can be partitioned into two disjoint subsets U and V such that each edge connects a vertex from U to one from V. A bipartite graph is a complete bipartite graph if every vertex in U is connected to every vertex in V. If U has n elements and V has m , then we denote the resulting complete bipartite graph by K n,m . The illustration shows K . See also complete graph and cut vertices chromatic number The chromatic number of a graph is the least number of colors it takes to color its vertices so that adjacent vertices have different colors. For example, this graph has chromatic number three. When applied to a map this is the least number of colors so necessary that countries that share nontrivial borders (borders consisting of more than single points) have different colors. See the

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