## Abstract We show that a complete multipartite graph is class one if and only if it is not eoverfull, thus determining its chromatic index.
The Chromaticity of Certain Complete Multipartite Graphs
โ Scribed by Haixing Zhao; Xueliang Li; Ruying Liu; Chengfu Ye
- Publisher
- Springer Japan
- Year
- 2004
- Tongue
- English
- Weight
- 322 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let W(n, k) denote the graph of order n obtained from the wheel I+', by deleting all but k consecutive spokes. In this note, we study the chromaticity of graphs which share certain properties of U'(n, 6) which can be obtained from the coeffictents of the chromatic polynomial of W(n, 6). In particula
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