VERTEX MAGIC TOTAL LABELING OF MIDDLE AND TOTAL GRAPH OF CYCLE

Abstract

A vertex magic total labeling is a bijection from the union of thevertex set and edge set to the consecutive integers 1; 2; 3; ::::; v + e with theproperty that for every u in the vertex set, the sum of the label of u and thelabel of the edges incident with u is equal to k, for some constant k. In thispaper, we establish the vertex magic labeling of some classes of graphs andprovide some open problems related to it.