A fair hamilton decomposition of the complete multipartite graph G is a set of hamilton cycles in G whose edges partition the edges of G in such a way that, for each pair of parts and for each pair of hamilton cycles H 1 and H 2 , the difference in the number of edges in H 1 and H 2 joining vertices
The chromatic index of complete multipartite graphs
β Scribed by D. G. Hoffman; C. A. Rodger
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 266 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We show that a complete multipartite graph is class one if and only if it is not eoverfull, thus determining its chromatic index.
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