Topics in chromatic graph theory / edited by Lowell W. Beineke, Indiana University-Purdue University, Fort Wayne ; Robin J. Wilson, The Open University and the London School of Economics ; academic consultant: Bjarne Toft, University of Southern Denmark, Odense.

Format:

Book

Contributor:

Beineke, Lowell W., editor.

Wilson, Robin J., editor.

Series:

Encyclopedia of mathematics and its applications ; 156.

Encyclopedia of mathematics and its applications ; 156

Language:

English

Subjects (All):

Graph coloring--Data processing.

Graph coloring.

Graph theory--Data processing.

Graph theory.

Physical Description:

xvi, 370 pages : illustrations ; 25 cm.

Place of Publication:

New York : Cambridge University Press, 2015.

Summary:

"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"-- Provided by publisher.

Contents:

Machine generated contents note: 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 orientation / Hongjian Lai, Rong Luo and Cun-Quan Zhang

10. Colouring random graphs / Ross J. Kang and Colin McDiarmid

11. Hypergraph colouring / Csilla Bujtas, 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. Open problems / Tommy Jensen and Bjarne Toft

Notes on contributors.

Notes:

Includes bibliographical references and index.

ISBN:

9781107033504

1107033500

OCLC:

919165151