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Circuit Double Cover of Graphs.

Circuit Double Cover of Graphs.

・ISBN 978-0-521-28235-2 paper GB£ 57.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-86315-8

著者・編者Zhang, Cun-Quan,
シリーズLondon Mathematical Society Lecture Note Series
出版社(Cambridge University Press, UK)
出版年月2012
ページ数375 pp.
言語ENG
ニュース番号<M25-2254>

解説

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.