Discrete Mathematics & Theoretical Computer Science
| 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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| pdf-source: | dm050108.pdf (49 K) |
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