## Abstract A multicolored tree is a tree whose edges have different colors. Brualdi and Hollingsworth 5 proved in any proper edge coloring of the complete graph __K__~2__n__~(__n__ > 2) with 2__n__ β 1 colors, there are two edgeβdisjoint multicolored spanning trees. In this paper we generalize thi
Multicolored Trees in Complete Graphs
β Scribed by Richard A. Brualdi; Susan Hollingsworth
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 180 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0095-8956
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β¦ Synopsis
We prove the existence of two edge-disjoint multicolored spanning trees in any edge-coloring of a complete graph by perfect matchings; we conjecture that a full partition into multicolored spanning trees is always possible.
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