Modular Colorings of Join of Two Special Graphs
2014  //  DOI: 10.5614/ejgta.2014.2.2.6
N. Paramaguru, R. Sampathkumar

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Modular Colorings of Join of Two Special Graphs Image
Abstract

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.

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