41. Problems In Topological Graph Theory Problems in Topological graph theory. Go to the Table of Contents. Returnto the Main Table of Contents. Random topological graph theory. http://www.emba.uvm.edu/~archdeac/problems/problems.html

Problems in Topological Graph Theory Go to the Table of Contents Compiled by Dan Archdeacon List Started: August 1995 Converted to the web: September 1998 Extensive revisions: December 2003 E-Mail: dan.archdeacon@uvm.edu Postal Mail: Dan Archdeacon Dept. of Math. and Stat. University of Vermon t Burlington VT USA Abstract Do you think you've got problems? I know I do. This paper contains an ongoing list of open questions in topological graph theory. If you are interested in adding a problem to this list please contact me at the addresses above. The spirit is inclusive-don't submit a problem you're saving for your graduate student. If it appears here, it's fair game. If you solve one of the problems, know some additional history, recognize it as phrased incorrectly, or think it’s just a stupid question, please let me know so that I can keep the list up-to-date. I've taken quite a bit of liberty editing the submissions. I apologize for any errors introduced. My original goal was to update the list monthly, however, that has proven too difficult. There is no guarantee that references are up-to-date. Enjoy my problems-I do!

42. Graph Theory And Discrete Geometry Manila 2001 posted. CONFERENCE PROCEEDINGS The proceedings of the conference willbe published as a volume of Graphs and Combinatorics. Papers http://www.math.admu.edu.ph/CGTDG2001/

SCHEDULE SPEAKERS REGISTRATION ACCOMMODATIONS ... PHOTO GALLERY SPONSORS Ateneo de Manila University Commission on Higher Education (CHED, Phils.) Fujitsu, Philippines Manulife Financial Mathematical Society of the Philippines Software Ventures International Corporation Tokai University UNESCO s="na";c="na";j="na";f=""+escape(document.referrer) since April 27, 2001 PHOTO GALLERY Selected pictures taken during the conference are now posted. CONFERENCE PROCEEDINGS The proceedings of the conference will be published as a volume of Graphs and Combinatorics. Papers will be refereed in keeping with the standards of the journal. The paper should be 8 pages or less and should follow the format which you can find in the website of the journal Graphs and Combinatorics . Deadline for submission of the full paper: October 17, 2001. Please submit 3 copies of the paper. ORGANIZING COMMITTEE Jin Akiyama Research Institute of Educational Development Tokai University Mikio Kano Department of Computer and Information Science Ibaraki University Agnes D. Garciano

43. Wiley InterScience :: Session Cookies www3.interscience.wiley.com/cgibin/jhome/35334 graph theory example 1995 UG exam. http://www3.interscience.wiley.com/cgi-bin/jtoc?ID=35334

44. UMR ECE- Dr. Donald C. Wunsch II Reinforcement Learning, Adaptive Critic Designs, Control, Optimization, graph theory, Bioinformatics, Intrusion Detection. http://www.ece.umr.edu/~dwunsch/

Dr. Donald C. Wunsch II Mary K. Finley Missouri Distinguished Professor of Computer Engineering Available Information Resume Biosketch and personal web page Office Address, Phone Number Link to Applied Computational Intelligence Laboratory ... Email web_doc@ece.umr.edu

45. Graph Theory -- From MathWorld graph theory. Graph Connections Relationships Between graph theory and OtherAreas of Mathematics. Oxford, England Oxford University Press, 1997. http://mathworld.wolfram.com/GraphTheory.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Discrete Mathematics Graph Theory General Graph Theory Graph Theory The mathematical study of the properties of the formal mathematical structures called graphs Adjacency Matrix Adjacency Relation Articulation Vertex ... search Beinecke, L. W. and Wilson, R. J. (Eds.). Graph Connections: Relationships Between Graph Theory and Other Areas of Mathematics. Oxford, England: Oxford University Press, 1997. Berge, C. Graphs and Hypergraphs. Amsterdam, Netherlands: North-Holland, 1976. Berge, C. The Theory of Graphs and Its Applications. New York: Wiley, 1962. Bogomolny, A. "Graphs." http://www.cut-the-knot.org/do_you_know/graphs.shtml Graph Theory: An Introductory Course. New York: Springer-Verlag, 1979. Modern Graph Theory.

46. Home Page For: Algebraic Graph Theory Algebraic graph theory. The book Publisher Springer Verlag (New York). RelatedTexts. Reinhard Diestel graph theory (Springer 1997). http://quoll.uwaterloo.ca/agt/

Algebraic Graph Theory The book: Publisher: Springer Verlag (New York). ISBN: 0-387-95220-9 A postcript copy of the preface and table of contents is here. The authors: Gordon Royle and Chris Godsil Order it online: At amazon.com Supplementary material Extensions to material in the text here. Known errors (and some fixes) Here. On-line data and programs Brendan McKay - some very useful programs, eulerian graphs, trees, strongly regular graphs.... Gordon Royle - cubic and strongly regular graphs, biplanes,... Ted Spence - 2-designs, Hadamard matrices, two-graphs,.... Markus Meringer's regular graphs Related Texts Reinhard Diestel: Graph Theory (Springer 1997). Bollobas: Modern Graph Theory. West: Introduction to Graph Theory. Biggs: Algebraic Graph Theory. Chris Godsil: Algebraic Combinatorics, Chapman and Hall, New York, 1993. (ISBN: 0-412-04131-6) To Contact Us by mail: or electr(on)ically: email: cgodsil@math.uwaterloo.ca tel: (519) 888 4567 X5593 fax: (519) 725 5441 Last modified: Mon Jul 30 09:57:17 EDT 2001

47. Graph -- From MathWorld The study of graphs is known as graph theory, and was first systematicallyinvestigated by D. König in the 1930s (Gardner 1984, p. 91). http://mathworld.wolfram.com/Graph.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Discrete Mathematics Graph Theory General Graph Theory Graph The word "graph" has (at least) two meanings in mathematics. In elementary mathematics, "graph" refers to a function graph or "graph of a function," i.e., a plot In a mathematician's terminology, a graph is a collection of points and lines connecting some (possibly empty) subset of them. The points of a graph are most commonly known as graph vertices , but may also be called "nodes" or simply "points." Similarly, the lines connecting the vertices of a graph are most commonly known as graph edges , but may also be called "arcs" or "lines." The study of graphs is known as graph theory , and was first systematically investigated by D. König in the 1930s (Gardner 1984, p. 91). Unfortunately, as Gardner (1984, p. 91) notes, "The confusion of this term [i.e., the term "graph" to describe a network of vertices and edges] with the `

48. Discussiones Mathematicae Discussiones Mathematicae General Algebra and Applications. Discussiones Mathematicaegraph theory. Discussiones Mathematicae Probability and Statistics. http://www.pz.zgora.pl/discuss/

Discussiones Mathematicae. Differential Inclusions Control and Optimization Discussiones Mathematicae - General Algebra and Applications Discussiones Mathematicae Graph Theory Discussiones Mathematicae. Differential Inclusions Control and Optimization Discussiones Mathematicae - General Algebra and Applications Discussiones Mathematicae Graph Theory ... Discussiones Mathematicae Probability and Statistics

49. Colorful Mathematics Educational software presents advanced mathematics to K12 students in a game-oriented approach, using coloring and drawing techniques to illustrate concepts from graph theory and computer science. http://www.math.ucalgary.ca/~laf/colorful/colorful.html

COLORFUL MATHEMATICS Mathematics computer games Colorful Mathematics is a series of educational software presenting advanced mathematical concepts to K-12 students in a game-oriented approach. The five games offered utilize simple coloring and/or drawing techniques to illustrate some state of the art mathematical concepts from graph theory and computer science. BACKGROUND IS THIS REALLY MATHEMATICS? THE GAMES TEACHER'S CORNER ... RELATED SITES Funding for this project was made possible through Industry Canada's SchoolNet initiative and through the cooperation of the Canadian Mathematical Society. Chosen as a Selected Web Resource by the National Council of Teachers of Mathematics Illuminations Project

50. Workshop On Extremal Graph Theory Workshop on Extremal graph theory dedicated to the 60th birthday of.Miklós Simonovits. Budapest June 1620 Balaton June 23-27, 2003. http://www.renyi.hu/~extgr03/

Workshop on Extremal Graph Theory dedicated to the 60th birthday of Budapest June 16-20 Balaton June 23-27, 2003 will be held June 16-20 in Budapest, and June 23-27 at Lake Balaton Hungary. Scientific Program The first week of the workshop will consist of series of talks of invited speakers on current research trends in Extremal Graph Theory. The second week will consist of plenary lectures by invited speakers and contributed short talks by other participants. amongst others, will participate and give series of talks or plenary lectures. Conference site Hotel Garda Club in Csopak at Lake Balaton. Second announcement is here Third announcement is here Budapest hotel map is here E-mail: extgr03@renyi.hu URL: http://www.renyi.hu/~extgr03 Fax: +36-1-4838333

51. Graph Theory Open Problems graph theory Open Problems. http://dimacs.rutgers.edu/~hochberg/undopen/graphtheory/graphtheory.html

Graph Theory Open Problems Index of Problems Unit Distance Graphs-chromatic number Unit Distance Graphs-girth Barnette's Conjecture Crossing Number of K(7,7) ... Square of an Oriented Graph Unit Distance Graphs-chromatic number RESEARCHER: Robert Hochberg OFFICE: CoRE 414 Email: hochberg@dimacs.rutgers.edu DESCRIPTION: How many colors are needed so that if each point in the plane is assigned one of the colors, no two points which are exactly distance 1 apart will be assigned the same color? This problem has been open since 1956. It is known that the answer is either 4, 5, 6 or 7-this is not too hard to show. You should try it now in order to get a flavor for what this problem is really asking. This number is also called ``the chromatic number of the plane.'' A graph which can be embedded in the plane so that vertices correspond to points in the plane and edges correspond to unit-length line segments is called a ``unit-distance graph.'' The question above is equivalent to asking what the chromatic number of unit-distance graphs can be. Here are some warm-up questions, whose answers are known: What complete bipartite graphs are unit-distance graphs? What's the smallest 4-chromatic unit-distance graph? Show that the Petersen graph is a unit-distance graph.

52. Graph Theory Conference 2000 - Kalamazoo, Michigan The 9th Quadrennial International Conference on graph theory, Combinatorics, Algorithms and Applications (GTCC2000). 59 June 2000. http://www.wmich.edu/graftheo/gtc2000.html

53. Graph Theory : Definition And Properties graph theory Definition and Properties. graph theory is a branch of mathematicsconcerned about how networks can be encoded and their properties measured. http://people.hofstra.edu/geotrans/eng/ch2en/meth2en/ch2m1en.html

HOME CONTENTS CHAPTER 2 1. Basic Graph Definition ... 3. Basic Structural Properties Graph Representation of a Real Network Basic Graph Representation of a Transport Network Planar and Non-Planar Graphs Connections and Paths Length of a Link, Connection or Path Cycles and Circuits Connectivity in a Graph Complementary Graph Root Node Tree Graph Articulation Node Isthmus Connection Chapter 2 - Methods (PowerPoint) Graph Theory: Definition and Properties Author : Dr. Jean-Paul Rodrigue 1. Basic Graph Definition A graph is a symbolic representation of a network. It implies an abstraction of the reality so it can be simplified as a set of linked nodes. Graph theory is a branch of mathematics concerned about how networks can be encoded and their properties measured. Graph A transportation network, like any network, can be represented as a graph. A graph G is a set of vertex (nodes) v connected by edges (links) e . Thus G=(v , e)

54. (Switzerland) École Polytechnique Fédérale De Lausanne Chair of Operational Research South East (ROSE). The operational research group of EPFL deals with graph theory, evolutive algorithms, arc routine problems, scheduling, algorithmics, neural networks and other problems in the field of operational research. http://dmawww.epfl.ch/rose.mosaic/start.html

English Deutsch English Deutsch

55. ``Introduction To Graph Theory'' (2nd Edition) Introduction to graph theory Second edition. This is the home pagefor Introduction to graph theory, by Douglas B. West. Published http://www.math.uiuc.edu/~west/igt/

Introduction to Graph Theory - Second edition This is the home page for Introduction to Graph Theory , by Douglas B. West Published by Prentice Hall 1996, 2001. Second edition, xx+588 pages, 1296 exercises, 447 figures, ISBN 0-13-014400-2. First edition 512+xvi pages, 870 exercises, 312 figures, ISBN 0-13-227828-6. Resources Supplementary Exercises not yet in text (to be added in later editions) Solution manual - available to instructors only from george_lobell@prenhall.com Syllabus for a one-semester beginning course (postscript) (used at U Illinois) Contents and Preface for second edition (postscript) Errata for second edition Corrections to notation and to other mathematical aspects Comments and updates (corrections to references, comments on proofs or exercises, etc.) Minor typos (errors in spelling, punctuation, etc.) Resources for first edition (no longer maintained): Errata Syllabus Contents and Preface Reader Poll on Terminology (Now Four Questions!) Terminology is a big problem in graph theory: it is easy to invent terminology, and independently invented terminology is unlikely to agree. Here is your opportunity to vote on terminology. I will try to honor the vote in the third edition. Please send email to west@math.uiuc.edu

56. Problems In Graph Theory And Combinatorics" Open Problems graph theory and Combinatorics. collected and maintained by DouglasB. West. Number of problem pages now posted 34. Extremal graph theory. http://www.math.uiuc.edu/~west/openp/

Open Problems - Graph Theory and Combinatorics collected and maintained by Douglas B. West Number of problem pages now posted: 34 This site is a resource for research in graph theory and combinatorics. Open problems are listed along with what is known about them, updated as time permits. Individual pages contain such material as title, originator, date, statement of problem, background, partial results, comments, references. Also available is a Glossary of Terms Most pages in this directory have not yet been created; so far this is mostly a list of some well-known problems for which more detailed pages will be written later. Its accessibility at this early stage is a plea for contributed material to accelerate its development. The organization of topics roughly follows the four volumes of The Art of Combinatorics under development by D.B. West. Thus the four main headings are Extremal Graph Theory Structure of Graphs Order and Optimization , and Arrangements and Methods Alternatively, below is a direct search, courtesy of Google. On this page, the search will only take you right here, but it will also find problem pages under this that contain your search term. Contributions!

57. CAMS - Home Page Laboratory of the C.N.R.S. researching in Combinatorics, graph theory, Partial Orders, Spatial Representations, Language Structure and Dynamic Systems. http://www.ehess.fr/centres/cams

U.M.R. 8557 Projets scientifiques et bibliographie Nos publications Personnel Historique Grands objectifs Renseignements pratiques sur le C.A.M.S. Directeur : Henri BERESTYCKI Directeur adjoint : Bruno LECLERC Adresse du laboratoire 54, bd Raspail 75270 ParisCedex 06 email cams@ehess.fr Adresse 44, rue de l'Amiral Mouchez 75014 Paris delvigna@ivry.cnrs.fr L'Atelier de Taxiplanie (LATES) Adresse Combinatoire, taxiplanie et ordres Histoire des sciences Les D.E.A. D.E.A. M.I.A.S.H. D.E.A. Algorithmique Les revues du Laboratoire et Sciences humaines (M.S.H.) - Mathematics and Social Sciences European Journal of Combinatorics Les Cahiers du C.A.M.S. Le personnel du C.A.M.S. Les chercheurs Le personnel administratif et technique Doctorants et post-doctorants Les collaborateurs

58. Tietojenkäsittelytieteiden Laitos Department of Computer Science and Information Systems. Research areas include information systems design methods and tools, management, assessment, and applications of information systems, document management, electronic trading, knowledge discovery, knowledgebased systems, object orientation, graph theory, educational technology, advanced data management, and mobile multimedia. http://www.cs.jyu.fi/index_en.html

Department of Computer Science and Information Systems Studying Staff Research Collaboration Location Mattilanniemi, Agora 5th floor Postal address University of Jyväskylä Department of Computer Science and Information Systems P.O. Box 35 SF-40351 Jyväskylä FINLAND Telephone +358 14 260 3010 (office) +358 14 260 3024 (amanuensis) Fax University of Jyväskylä Faculty of Information Technology

59. Algebraic Graph Theory Home Page EuroWorkshop on Algebraic graph theory. Edinburgh 913 July 2001. http://www.ma.hw.ac.uk/icms/current/graph/

EuroWorkshop on Algebraic Graph Theory Edinburgh 9-13 July 2001 Workshop Arrangements Scientific Programme Participants List Call for Papers ... Click here for the report on this meeting in ICMS News 11 Timetable available on Scientific Programme page Scientific Committee D. Cvetkovic (Belgrade) W. Haemers (Tilburg) P. Rowlinson (Stirling). The general themeof this second workshop on Algebraic Graph Theory is the geometric representation of graphs and on this occasion the chosen area of application is discrete mathematical chemistry. The workshop provides an opportunity for the scattered communities of algebraic graph theorists and mathematical chemists to discuss recent developments of mutual interest. The main topics are seen as the new fullerenes eigenspace techniques generalizations from distance-regular graphs topological considerations In addition to formally timetabled lectures, there will be ample time for more informal discussion. Most days will begin and end with a lecture from a key speaker, with contributed short papers (20-25 minutes) timetabled in between (using two parallel sessions if necessary to avoid saturation). The meeting is supported by The European Commission (Framework V) The London Mathematical Society The British Combinatorial Committee This meeting's pages last updated 05 July 2001 Future Events Travel Information Call for Proposals Publications ... Front Page

60. Comb01 The Conference concentrates mainly on four areas Algebraic, Algorithmic, geometric and probabilistic combinatorics, including their applications to other areas of mathematics, computer science and engineering. Barcelona, Spain; September 1215, 2001. http://www-mat.upc.es/limda/comb01/

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