Equitable chromatic number of weak modular product of Some graphs
Author
Kaliraj, K.
Narmadha Devi, R.
Vernold Vivin, J.
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/514010.22199/issn.0717-6279-5140
Abstract
An equitable coloring of a graph G is a proper coloring of the vertices of G such that the number of vertices in any two color clases differ by at most one. The equitable chromatic number χ=(G) of a graph G is the minimum number of colors needed for an equitable coloring of G. In this paper, we obtain the equitable chromatic number of weak modular product of two graphs G and H, denoted by G o H.
First, we consider the graph G o H, where G is the path graph, and H be any simple graph like the path, the cycle graph, the complete graph. Secondly, we consider G and H as the complete graph and cycle graph respectively. Finally, we consider G as the star graph and H be the complete graph and star graph.