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.
Alternating paths in edge-colored complete graphs
β Scribed by Y. Manoussakis
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 897 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0166-218X
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