Circuit Double Cover of Graphs
Cun-Quan Zhang
ມ.ສ. 2012 · London Mathematical Society Lecture Note Series ຫົວທີ 399 · Cambridge University Press
ປຶ້ມອີບຸກ
357
ໜ້າ
reportບໍ່ໄດ້ຢັ້ງຢືນການຈັດອັນດັບ ແລະ ຄຳຕິຊົມ ສຶກສາເພີ່ມເຕີມ
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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.
ກ່ຽວກັບຜູ້ຂຽນ
Cun-Quan Zhang is Eberly Distinguished Professor of Mathematics at West Virginia University.
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