On chromatic uniqueness of certain 5-partite graphs
β Scribed by H. Roslan; A. S. Ameen; Y. H. Peng; H. X. Zhao
- Book ID
- 107620011
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 316 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
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## Abstract Rosenfeld (1971) proved that the Total Colouring Conjecture holds for balanced complete __r__βpartite graphs. Bermond (1974) determined the exact total chromatic number of every balanced complete __r__βpartite graph. Rosenfeld's result had been generalized recently to complete __r__βpar
The least number of colors needed to color the vertices of a graph G such that the vertices in each color class induces a linear forest is called the path-chromatic number of G, denoted by Zoo (G). If all such colorings of the vertices of G induce the same partitioning of the vertices of G, we say