Del 399 - London Mathematical Society Lecture Note Series

Circuit Double Cover of Graphs

Häftad, Engelska, 2012

899 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

The famous Circuit Double Cover conjecture (and its numerous variants) is considered one of the major open problems in graph theory owing to its close relationship with topological graph theory, integer flow theory, graph coloring and the structure of snarks. It is easy to state: every 2-connected graph has a family of circuits covering every edge precisely twice. C.-Q. Zhang provides an up-to-date overview of the subject containing all of the techniques, methods and results developed to help solve the conjecture since the first publication of the subject in the 1940s. It is a useful survey for researchers already working on the problem and a fitting introduction for those just entering the field. The end-of-chapter exercises have been designed to challenge readers at every level and hints are provided in an appendix.

Produktinformation

Utgivningsdatum2012-04-26
Mått152 x 226 x 20 mm
Vikt560 g
FormatHäftad
SpråkEngelska
SerieLondon Mathematical Society Lecture Note Series
Antal sidor375
FörlagCambridge University Press
ISBN9780521282352

Tillhör följande kategorier

Diskret matematik inom Naturvetenskap och teknik

Foreword; Preface; 1. Circuit double cover; 2. Faithful circuit cover; 3. Circuit chain and Petersen minor; 4. Small oddness; 5. Spanning minor, Kotzig frames; 6. Strong circuit double cover; 7. Spanning trees, supereulerian graphs; 8. Flows and circuit covers; 9. Girth, embedding, small cover; 10. Compatible circuit decompositions; 11. Other circuit decompositions; 12. Reductions of weights, coverages; 13. Orientable cover; 14. Shortest cycle covers; 15. Beyond integer (1, 2)-weight; 16. Petersen chain and Hamilton weights; Appendix A. Preliminary; Appendix B. Snarks, Petersen graph; Appendix C. Integer flow theory; Appendix D. Hints for exercises; Glossary of terms and symbols; References; Author index; Subject index.

"This book draws a comprehensive panoramic image of material from a large number of results spread through various papers.The most essential of these results are virtually rewritten, and the fabric of connections among them is revealed. The author establishes a uniform framework in which most of the work done so far, as well as potential directions for future work, is described and can be understood in a clear and systematic manner. The book is recommended to researchers and students interested in graph theory." Martin Kochol, Mathematical Reviews

Mer från samma serie

Del 366

Highly Oscillatory Problems

Bjorn Engquist, Athanasios Fokas, Ernst Hairer, Arieh Iserles, Austin) Engquist, Bjorn (University of Texas, Athanasios (University of Cambridge) Fokas, Ernst (Universite de Geneve) Hairer, Arieh (University of Cambridge) Iserles

Häftad

1 099 kr