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3-colorability of 4-regular hamiltonian graphs

✍ Scribed by Herbert Fleischner; Gert Sabidussi

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 187 KB
Volume: 42
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.10079

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✦ Synopsis

Abstract

On the model of the cycle‐plus‐triangles theorem, we consider the problem of 3‐colorability of those 4‐regular hamiltonian graphs for which the components of the edge‐complement of a given hamiltonian cycle are non‐selfcrossing cycles of constant length ≥ 4. We show that this problem is NP‐complete. © 2002 Wiley Periodicals, Inc. J Graph Theory 42: 125–140, 2003

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