Vol. 2 No. 2 (2015): Vol 2, Iss 2, Year 2015
Articles

b-CHROMATIC NUMBER OF CORONA PRODUCT OF CROWN GRAPH AND COMPLETE BIPARTITE GRAPH WITH PATH GRAPH

Vijayalakshmi D
Department of Mathematics, Kongunadu Arts & Science College, Coimbatore-641 029.
Mohanappriya G
Department of Mathematics, Kongunadu Arts & Science College, Coimbatore-641 029.
Published December 30, 2015
Keywords
  • Corona product, crown graph, complete bipartite graph, path graph.
How to Cite
D, V., & G, M. (2015). b-CHROMATIC NUMBER OF CORONA PRODUCT OF CROWN GRAPH AND COMPLETE BIPARTITE GRAPH WITH PATH GRAPH. Kongunadu Research Journal, 2(2), 30-33. https://doi.org/10.26524/krj311

Abstract

A b-coloring of a graph is a proper coloring where each color admits at least one node (called dominating node) adjacent to every other used color. The maximum number of colors needed to b-color a graph G is called the b-chromatic number and is denoted by φ(G). In this paper, we find the b-chromatic number and some of the structural properties of corona product of crown graph and complete bipartite graph
with path graph.

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