Integer flows and cycle covers of graphs

Bibliographic Information

Integer flows and cycle covers of graphs

Cun-Quan Zhang

(Monographs and textbooks in pure and applied mathematics, 205)

Marcel Dekker, c1997

Available at  / 44 libraries

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Note

Includes bibliographical references (p. 353-371) and index

"This is the first book devoted to integer flows and cycle covers." -- Pref

Description and Table of Contents

Description

Focuses on classical problems in graph theory, including the 5-flow conjectures, the edge-3-colouring conjecture, the 3-flow conjecture and the cycle double cover conjecture. The text highlights the interrelationships between graph colouring, integer flow, cycle covers and graph minors. It also concentrates on graph theoretical methods and results.

Table of Contents

  • Introduction to integer flows
  • basic properties of integer flows
  • nowhere-zero 4-flows
  • nowhere-zero 3-flows
  • nowhere-zero k-flows
  • faithful cycle covers
  • cycle double covers
  • shortest cycle covers
  • generalization and unification
  • compatible decompositions. Appendices: fundamental theories
  • hints for exercises
  • terminology.

by "Nielsen BookData"

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