Odd sum labeling of some splitting graphs

Abstract

An injective function f : V(G) → {0,1,2,... ,q} is an odd sum labeling if the induced edge labeling f^∗ defined by f(uv) = f(u) + f(v), for all uv ϵ E(G), is injective and f'(E{G)) = {1,3,5,... ,2q-1}. A graph is said to be an odd sum graph if it admits an odd sum labeling. In this paper, we have studied the odd sum property of some splitting graphs. © 2017 Utilitas Mathematica Publishing Inc.. All rights reserved.