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[ 洋図書 ] Topics in chromatic graph theory / ( Encyclopedia of mathematics and its applications ; 156 )

edited by Lowell W. Beineke, Robin J. Wilson ; academic consultant, Bjarne Toft. -- Cambridge University Press, -- 2015. --

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ISBN 1107033500 (hardback)
ISBN13桁 9781107033504 (hardback)
テキストの言語 英語                  
分類：NDC10版 410.8
本タイトル Topics in chromatic graph theory /
著者名 edited by Lowell W. Beineke, Robin J. Wilson ; academic consultant, Bjarne Toft.
出版地・頒布地 Cambridge :
出版者・頒布者名 Cambridge University Press,
出版年・頒布年 2015.
数量 xvi, 370 p. :
他の形態的事項 ill. ;
大きさ 25 cm.
書誌注記 Includes bibliographical references and index.
内容注記 Foreword / Bjarne Toft -- Preface -- Preliminaries / Lowell W. Beineke and Robin J. Wilson -- 1. Colouring graphs on surfaces / Bojan Mohar -- 2. Brooks's theorem / Michael Stiebitz and Bjarne Toft -- 3. Chromatic polynomials / Bill Jackson -- 4. Hadwiger's conjecture / Ken-ichi Kawarabayashi -- 5. Edge-colourings / Jessica McDonald -- 6. List-colourings / Michael Stiebitz and Margit Voigt -- 7. Perfect graphs / Nicolas Trotignon -- 8. Geometric graphs / Alexander Soifer -- 9. Integer flow and orientations / Hongjian Lai, Rong Luo and Cun-Quan Zhang -- 10. Colouring random graphs / Ross J. Kang and Colin McDiarmid -- 11. Hypergraph colouring / Csilla Bujtás, Zsolt Tuza and Vitaly Voloshin -- 12. Chromatic scheduling / Dominique de Werra and Alain Hertz -- 13. Graph colouring algorithms / Thore Husfeldt -- 14. Colouring games / Zsolt Tuza and Xuding Zhu -- 15. Unsolved graph colouring problems / Tommy Jensen and Bjarne Toft.
要約、抄録、注釈等 "Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields"--
著者標目 Beineke, Lowell W.,
Wilson, Robin J.,
統一タイトル(シリーズ副出標目) Encyclopedia of mathematics and its applications ;
シリーズの巻次 v. 156.
シリーズ名・巻次 Encyclopedia of mathematics and its applications ; 156
一般件名 Graph coloring -- Data processing.
Graph theory -- Data processing.
資料情報1 『Topics in chromatic graph theory /』（Encyclopedia of mathematics and its applications ; 156）　edited by Lowell W. Beineke, Robin J. Wilson ; academic consultant, Bjarne Toft.　Cambridge University Press,　2015. （所蔵館：中央　 請求記号：F/410.8/E56/E1-156　 資料コード：7106038762）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352015656

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