2010•DOAJ (DOAJ: Directory of Open Access Journals)Open access

THE b-CHROMATIC NUMBER OF STAR GRAPH FAMILIES

J. Vernold Vivin, Mathiyazhagan Venkatachalam

Abstract

In this paper, we investigate the b-chromatic number of central graph, middle graph and total graph of star graph, denoted by C(K1,n), M(K1,n) and T(K1,n) respectively. We discuss the relationship between b-chromatic number with some other types of chromatic numbers such as chromatic number, star chromatic number and equitable chromatic number.

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Key concepts: Chromatic scale, Friendship graph, Windmill graph, Combinatorics, Graph, Mathematics, Foster graph, Star (game theory)