Modular colorings of join of two special graphs

N Paramaguru (Annamalai University)
R Sampathkumar (Annamalai University)

Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 2, No 2 (2014): Electronic Journal of Graph Theory and Applications

For k≥2, a modular k-coloring of a graph G without isolated vertices is a coloring of the vertices of G with the elements in Zk having the property that for every two adjacent vertices of G, the sums of the colors of their neighbors are different in Zk. The minimum k for which G has a modular k-coloring is the modular chromatic number of G. In this paper, we determine the modular chromatic number of join of two special graphs.