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On chromatic uniqueness of certain 5-partite graphs

✍ 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

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## Abstract Rosenfeld (1971) proved that the Total Colouring Conjecture holds for balanced complete __r__‐partite graphs. Bermond (1974) determined the exact total chromatic number of every balanced complete __r__‐partite graph. Rosenfeld's result had been generalized recently to complete __r__‐par

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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