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
Decompositions of Leaf-Colored Binary Trees
โ Scribed by M. Steel
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 786 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0196-8858
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โฆ Synopsis
Leaf-colored binary trees, with an induced integer "length," arise in biomathematics. We analyse such trees in terms of a natural bipartition of their edge set, and, extending a recent decomposition for binary trees, obtain enumerative formulae. 1993 Academic Press. Inc.
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