SPECIAL KINDS OF GRAPHS - EDGE PRODUCT NUMBER

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Thavamani*, J. P. (2013). SPECIAL KINDS OF GRAPHS - EDGE PRODUCT NUMBER. Asian Journal of Current Engineering and Maths, 1(6). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/124
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Abstract

A graph G(V, E) is said to be a sum graph if there exists a bijective labeling from the vertex set V to a set S of  positive integers such that  xy ∈ E  if and only if f(x) + f(y) ∈ S. We introduce the edge as well as the product analogue of sum graphs. The edge product number of a graph G is the minimum number r so that G∪rK2 becomes an edge product graph. In this paper we define some different kinds of graphs and also investigate the edge product number of that graphs. 

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