Discrete Mathematics & Theoretical Computer Science, Vol 5 (2002)

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DMTCS vol 5 no 1 (2002), pp. 121-126

Discrete Mathematics & Theoretical Computer Science


Volume 5 n° 1 (2002), pp. 121-126

author:Gregory Constantine
title:Multicolored isomorphic spanning trees in complete graphs
keywords:Orthogonal Latin squares, colorful matching, multicolored tree
abstract: Can a complete graph on an even number n (>4) of vertices be properly edge-colored with n-1 colors in such a way that the edges can be partitioned into edge disjoint colorful isomorphic spanning trees? A spanning tree is colorful if all n-1 colors occur among its edges. It is proved that this is possible to accomplish whenever n is a power of two, or five times a power of two.

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reference: Gregory Constantine (2002), Multicolored isomorphic spanning trees in complete graphs, Discrete Mathematics and Theoretical Computer Science 5, pp. 121-126
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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