ABSTRACT
Numbers of the form n(n+1) are called oblong numbers. Let On be the nth oblong number. An oblong sum labeling of a graph G=(V,E) with p vertices and q edges is a one to one function f : V(G) {0,2,4,6,8… } that induces a bijection f*: E(G) {01, 02, 03, …0q} of the edges of G defined by f*(u,v)=f(u)+f(v) for all e=uv E(G) The graph that admits oblong sum labeling is called oblong sum graph. In this paper, oblong sum labeling of some special graphs is studied.
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