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Alternating cycles in edge-colored graphs

✍ Scribed by Carol Whitehead

Publisher: John Wiley and Sons
Year: 1989
Tongue: English
Weight: 275 KB
Volume: 13
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190130402

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✦ Synopsis

We show that the edges of a 2-connected graph can be partitioned into two color classes so that every vertex is incident with edges of each color and every alternating cycle passes through a single edge. We also show that the edges of a simple graph with minimum vertex degree 6 2 2 can be partitioned into three color classes so that every vertex is incident with edges in exactly two colors and no cycle is alternating.

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