On d-distance equitable chromatic number of some graphs

Author:

Prabhu Nagarjun1,Nayak C Devadas1,D’souza Sabitha1ORCID,Bhat Pradeep G.1

Affiliation:

1. Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher education, Manipal 576104, India

Abstract

An assignment of distinct colors [Formula: see text] to the vertices [Formula: see text] and [Formula: see text] of a graph [Formula: see text] such that the distance between [Formula: see text] and [Formula: see text] is at most [Formula: see text] is called [Formula: see text]-distance coloring of [Formula: see text]. Suppose [Formula: see text] are the color classes of [Formula: see text]-distance coloring and [Formula: see text] for any [Formula: see text], then [Formula: see text] is [Formula: see text]-distance equitable colored graph. In this paper, we obtain [Formula: see text]-distance chromatic number and [Formula: see text]-distance equitable chromatic number of graphs like [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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