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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.
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Nadine Gordimer
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R205
R168
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