Square Sum Labeling of a Class of Almost Complete Bipartite Graph

M. Ganeshan¹ , M.S. Paulraj²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.86-88, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.8688

Online published on Dec 31, 2018

Copyright © M. Ganeshan, M.S. Paulraj . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The square sum labeling of a given (p,q) graph G = (V, E) consists of a bijective map f:V→{0,1,2..p-1} and an injective map f^*: E→N defined by f *(e) = [f(u)]2+[f(v)]2 , for every edge e ∈ E, Where e is incident with the vertices u and v. A graph is said to be a square sum if it admits a square sum labeling. In this paper, we have considered that the almost complete bipartite graphs Kn,n +e and have proved that such graphs are square sum for 3 ≤ n ≤10.

Key-Words / Index Term :
Labeling, Square sum labelling, Almost bipartite graph

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