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E-raamat: Graph Theory

  • Formaat: PDF+DRM
  • Sari: Graduate Texts in Mathematics 173
  • Ilmumisaeg: 20-Jan-2025
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Keel: eng
  • ISBN-13: 9783662701072
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Graph TheorySuurem pilt
  • Formaat: PDF+DRM
  • Sari: Graduate Texts in Mathematics 173
  • Ilmumisaeg: 20-Jan-2025
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Keel: eng
  • ISBN-13: 9783662701072
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This standard textbook on modern graph theory 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 complete proofs, while offering glimpses of more advanced methods in each field via one or two deeper results.





This is a major new edition. Among many other improvements, it offers additional tools for applying the regularity lemma, brings the tangle theory of graph minors up to the cutting edge of current research, and addresses new topics such as chi-boundedness in perfect graph theory.





The book can be used as a reliable text for an introductory graduate course and is also suitable for self-study.





From the reviews:





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





... like listening to someone explain mathematics. Bulletin of the AMS
The Basics.- Matching Covering and Packing.- Connectivity.- Planar Graphs.- Colouring.- Flows.- Extremal Graph Theory.- Infinite Graphs.- Ramsey Theory for Graphs.- Hamilton Cycles.- Random Graphs.- Graph Minors.
Reinhard Diestel is Professor at the Department of Mathematics at the University of Hamburg.
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