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3-equitable labeling in context of the barycentric subdivision of some special graphs

Journal: International Journal of Mathematics and Soft Computing (Vol.5, No. 1)

Publication Date:

Authors : ; ;

Page : 155-164

Keywords : 3-equitable labeling; Barycentric subdivision;

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Abstract

A function from the vertex set of a graph G to the set f0,1,2g 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.

Last modified: 2017-08-30 19:25:44