Topics in chromatic graph theory /
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.
- Cambridge : Cambridge University Press, 2015.
- 1 online resource (xvi, 370 pages) : digital, PDF file(s).
- Encyclopedia of mathematics and its applications ; volume 156 .
- Encyclopedia of mathematics and its applications ; v. 156. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Foreword / Preface -- Preliminaries / Colouring graphs on surfaces / Brooks's theorem / Chromatic polynomials / Hadwiger's conjecture / Edge-colourings / List-colourings / Perfect graphs / Geometric graphs / Integer flow and orientation / Colouring random graphs / Hypergraph colouring / Chromatic scheduling / Graph colouring algorithms / Colouring games / Zsolt Tuza and Xuding Zhu -- Unsolved graph colouring problems / Bjarne Toft -- Lowell W. Beineke and Robin J. Wilson -- Bojan Mohar -- Michael Stiebitz and Bjarne Toft -- Bill Jackson -- Ken-ichi Kawarabayashi -- Jessica McDonald -- Michael Stiebitz and Margit Voigt -- Nicolas Trotignon -- Alexander Soifer -- Hongjian Lai, Rong Luo and Cun-Quan Zhang -- Ross J. Kang and Colin McDiarmid -- Csilla Bujtás, Zsolt Tuza and Vitaly Voloshin -- Dominique de Werra and Alain Hertz -- Thore Husfeldt -- Tommy Jensen and Bjarne Toft. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.
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.
9781139519793 (ebook)
Graph coloring--Data processing.
Graph theory--Data processing.
QA166.247 / .T67 2015
511/.56
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Foreword / Preface -- Preliminaries / Colouring graphs on surfaces / Brooks's theorem / Chromatic polynomials / Hadwiger's conjecture / Edge-colourings / List-colourings / Perfect graphs / Geometric graphs / Integer flow and orientation / Colouring random graphs / Hypergraph colouring / Chromatic scheduling / Graph colouring algorithms / Colouring games / Zsolt Tuza and Xuding Zhu -- Unsolved graph colouring problems / Bjarne Toft -- Lowell W. Beineke and Robin J. Wilson -- Bojan Mohar -- Michael Stiebitz and Bjarne Toft -- Bill Jackson -- Ken-ichi Kawarabayashi -- Jessica McDonald -- Michael Stiebitz and Margit Voigt -- Nicolas Trotignon -- Alexander Soifer -- Hongjian Lai, Rong Luo and Cun-Quan Zhang -- Ross J. Kang and Colin McDiarmid -- Csilla Bujtás, Zsolt Tuza and Vitaly Voloshin -- Dominique de Werra and Alain Hertz -- Thore Husfeldt -- Tommy Jensen and Bjarne Toft. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.
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.
9781139519793 (ebook)
Graph coloring--Data processing.
Graph theory--Data processing.
QA166.247 / .T67 2015
511/.56