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This book is not just a simple revision of the authors' well-known introductory textbook "Graph Theory with Applications" but a brand new up-to-date treatment of the theory of graphs. Its primary aim is to present a coherent introduction to the subject, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic study of graph theory without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated and a wealth of exercises are provided. A second objective is to serve as an introduction to research in graph theory. To this end, sections on more advanced topics are included, and a number of interesting and challenging open problems are highlighted and discussed in some detail. Despite this more advanced material, the book has been organized in such a way that an introductory course on graph theory can be based on the first few sections of selected chapters.

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This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail. The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study. From the reviews: "This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory." Acta Scientiarum Mathematiciarum "Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity." Persi Diaconis & Ron Graham, SIAM Review "The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory." Bulletin of the Institute of Combinatorics and its Applications "Succeeds dramatically ... a hell of a good book." MAA Reviews "A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors." Mathematika " ... like listening to someone explain mathematics." Bulletin of the AMS

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Verbindungskabel, Graph Link, Usb, Interfacekabel, und Software

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Verbindungskabel, Graph Link, Usb, Interfacekabel, und Software

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The 12th International Symposium on Graph Drawing (GD 2004)was held d- ing September 29 October 2, 2004, at City College, CUNY, in the heart of Harlem, New York City. GD 2004 attracted 94 participants from 19 countries. In response to the call for papers, the program committee received 86 re- larsubmissionsdescribingoriginalresearchand/orsystemdemonstrations.Each submissionwasreviewedbyatleastthreeprogramcommitteemembersandc- ments were returned to the authors. Following extensive e-mail discussions, the program committee accepted 39 long papers (11 pages each in the proceedings) and 12 short papers (6 pages each). In addition, 4 posters were displayed and discussed in the conference exhibition room (2 pages each in the proceedings). Theprogramcommittee ofGD 2004invitedtwo distinguishedlecturers.P- fessorPaulSeymourfromPrincetonUniversitypresenteda newcharacterization ofclaw-freegraphs(jointworkwithMariaChudnovsky).ProfessorErikDemaine from MIT reported on his joint work with Fedor Fomin, MohammadTaghi - jiaghayi and Dimitrios Thilikos, concerning fast (often subexponential) ?x- parameter algorithms and polynomial approximation schemes for broad classes of NP-hard problems in topological graph theory. A survey of the subject by Professors Demaine and Hajiaghayi is included in this volume. As usual, the annual graph drawing contest was held during the conference. This time the contest had two distinct tracks: the graph drawing challenge and the freestyle contest. A report is included in the proceedings.

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An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemeredi's Regularity Lemma and its use, Shelah's extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substa ntial, and some will stretch even the most able reader.

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