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Circuit double cover of graphs

Author: Cun-Quan Zhang
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2012.
Series: London Mathematical Society lecture note series, 399.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Details

Genre/Form: Problems, exercises, etc
Document Type: Book
All Authors / Contributors: Cun-Quan Zhang
ISBN: 9780521282352 0521282357
OCLC Number: 773429132
Description: xxi, 357 p. : ill. ; 23 cm.
Contents: 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.
Series Title: London Mathematical Society lecture note series, 399.
Responsibility: Cun-Quan Zhang.

Abstract:

Contains all the techniques, methods and results developed so far in a bid to solve the famous CDC conjecture.  Read more...
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"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 Read more...

 
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