Some Results on Vertex Equitable Labeling

DOI: 10.4236/ojdm.2012.22009   PDF   HTML   XML   4,537 Downloads   8,922 Views   Citations

Abstract

Let G be a graph with p vertices and q edges and let A= vertex labeling is said to be a vertex equitable labeling of G if it induces an edge labeling given by such that and , where is the number of vertices v with for A graph G is said to be a vertex equitable graph if it admits vertex equitable labeling. In this paper, we establish the vertex equitable labeling of a Tp-tree, where T is a Tp-tree with even number of vertices, bistar the caterpillar and crown

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P. Jeyanthi and A. Maheswari, "Some Results on Vertex Equitable Labeling," Open Journal of Discrete Mathematics, Vol. 2 No. 2, 2012, pp. 51-57. doi: 10.4236/ojdm.2012.22009.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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