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Topics in chromatic graph theory /
~
Beineke, Lowell W.,
Topics in chromatic graph theory /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Topics in chromatic graph theory /edited by Lowell W. Beineke, Robin J. Wilson ; academic consultant, Bjarne Toft.
其他作者:
Beineke, Lowell W.,
出版者:
Cambridge, United Kingdom :Cambridge University Press,2015
面頁冊數:
xvi, 370 p. :ill. ;24 cm.
標題:
Graph coloringData processing
ISBN:
9781107033504 :
Topics in chromatic graph theory /
Topics in chromatic graph theory /
edited by Lowell W. Beineke, Robin J. Wilson ; academic consultant, Bjarne Toft. - Cambridge, United Kingdom :Cambridge University Press,2015 - xvi, 370 p. :ill. ;24 cm. - Encyclopedia of mathematics and its applications ;156 . - Encyclopedia of mathematics and its applications ;v. 124-125..
Includes bibliographical references and index
Foreword /Bjarne Toft --1.
"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 thematerial, 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 notationand 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"--
ISBN: 9781107033504 :NT$3554
LCCN: 2014035297 Subjects--Topical Terms:
765909
Graph coloring
--Data processing
LC Class. No.: QA166.247 / .T67 2015
Dewey Class. No.: 511/.56
Topics in chromatic graph theory /
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Bjarne Toft --
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Preface --
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Preliminaries /
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Lowell W. Beineke and Robin J. Wilson --
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1.
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Colouring graphs on surfaces /
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Bojan Mohar --
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2.
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Brooks's theorem/
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Michael Stiebitz and Bjarne Toft --
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3.
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Chromatic polynomials /
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Bill Jackson --
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4.
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Hadwiger's conjecture /
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Ken-ichi Kawarabayashi --
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5.
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Edge-colourings /
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Jessica McDonald --
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6.
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List-colourings /
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Michael Stiebitz and Margit Voigt --
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7.
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Perfect graphs /
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Nicolas Trotignon --
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8.
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Geometric graphs /
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Alexander Soifer --
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9.
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Integer flow and orientation /
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Hongjian Lai, Rong Luo and Cun-Quan Zhang --
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10.
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Colouring randomgraphs /
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Ross J. Kang and Colin McDiarmid --
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11.
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Hypergraph colouring /
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Csilla Bujtás, Zsolt Tuza and Vitaly Voloshin --
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12.
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Chromatic scheduling /
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Dominiquede Werra and Alain Hertz --
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13.
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Graph colouring algorithms /
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Thore Husfeldt --
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14.
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Colouring games / Zsolt Tuza and Xuding Zhu --
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15.
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Unsolved graph colouring problems /
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Tommy Jensen and Bjarne Toft
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"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 thematerial, 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 notationand 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"--
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v. 124-125.
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403662
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