• ON SUPER EDGE BIMAGIC TOTAL LABELING OF Pm X Cn AND ITS RELATED GRAPHS

Abstract

A Graph G(p, q) is said to have edge bimagic total labeling if there exists a bijection f: V(G)È E(G) ® {1 , 2 , … ,  p+q} such that for each edge  e = (u,v) Î E(G), f(u) + f(v) + f(e) = k₁ or k₂ ,  where k₁ and k₂ are two constants. Moreover, G is said to have super edge bimagic total labeling if f(V(G)) = {1 , 2 , … ,  p}. In this paper we prove that the super edge bimagic total labeling for generalized prism P_m x C_n , the Mongolian Ger M(n,m), the generalized web W(m,n), the generalized web without centre  W₀(m,n) and  its related graph.