2-Colored triangles in edge-colored complete graphs, II
β Scribed by D.T Busolini
- Book ID
- 107884135
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 201 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is shown that, for β ) 0 and n ) n β , any complete graph K on n vertices 0 ' Ε½ . whose edges are colored so that no vertex is incident with more than 1 y 1r 2 y β n edges of the same color contains a Hamilton cycle in which adjacent edges have distinct colors. Moreover, for every k between 3 and
We prove an asymptotic existence theorem for decompositions of edge-colored complete graphs into prespecified edge-colored subgraphs. Many combinatorial design problems fall within this framework. Applications of our main theorem require calculations involving the numbers of edges of each color and