A subgraph H of a graph G is called a star-subgraph if each component of H is a star. The star-arboricify of G, denoted by sa(G), is the minimum number of star-subgraphs that partition the edges of G. In this paper we show that sa(G) is [r/21 + 1 or [r/2] + 2 for the complete r-regular multipartite
The achromatic indices of the regular complete multipartite graphs
โ Scribed by Nam-Po Chiang; Hung-Lin Fu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 272 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
In this paper, we study the achromatic indices of the regular complete multipartite graphs and obtain the following results:
(1) A good upper bound for the achromatic index of the regular complete multipartite graph which gives the exact values of an infinite family of graphs and solves a problem posed by Bouchet.
(2) An improved Bouchet coloring which gives the achromatic indices of another infinite family of regular complete multipartite graphs.
๐ SIMILAR VOLUMES
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