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Edge-colored complete graphs with alternating cycles

✍ Scribed by S.H. Whitesides

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 648 KB
Volume: 46
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(83)90124-3

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✦ Synopsis

We prove that if the edges of the complete graph on n ~4 vertices are colored so that no vertex is on more than A edges of the same color, 1 c A < n -2,, then the graph has cycles of all lengths 3 through n with no A consecutive edges the same color.

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