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.

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, wh...

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Bibliographic Details
Uniform Title:Encyclopedia of mathematics and its applications ; v. 156.
Other Authors: Beineke, Lowell W. (Editor)
Wilson, Robin J. (Editor)
Language:English
Published: Cambridge : Cambridge University Press, 2015.
Series:Encyclopedia of mathematics and its applications ; v. 156.
Subjects:
Online Access:
Physical Description:1 online resource (xvi, 370 pages) : digital, PDF file(s).
Format: Electronic eBook
Contents:
  • 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 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.