# 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.
If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |

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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Automatically produced on Mon May 27 21:37:55 CEST 2002 by ifalk