Abstract

A function from the vertex set of a graph G to the set {0,1,2} is called 3-equitable labeling if the induced edge labels are produced by the absolute difference of labels of end vertices such that the absolute difference of number of vertices of G labeled with 0, 1 and 2 differ by at most 1 and similarly the absolute difference of number of edges of G labeled with 0, 1 and 2 differ by at most 1. In this paper we discuss 3-equitable labeling in context of barycentric subdivision of cycle with one chord, cycle with twin chords, cycle with triangle, shell graph and wheel graph.

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