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Hamilton decompositions of some line graphs

✍ Scribed by David A. Pike

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 361 KB
Volume: 20
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190200411

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✦ Synopsis

Abstract

The main result of this paper completely settles Bermond's conjecture for bipartite graphs of odd degree by proving that if G is a bipartite (2__k__ + 1)‐regular graph that is Hamilton decomposable, then the line graph, L(G), of G is also Hamilton decomposable. A similar result is obtained for 5‐regular graphs, thus providing further evidence to support Bermond's conjecture. © 1995 John Wiley & Sons, Inc.

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