THE TOTAL VERTEX IRREGULARITY STRENGTH OF AN AMALGAMATION OF STARS

Abstract

For a simple graph G with the vertex set V and the edge set E, a labeling is called a vertex irregular total k-labeling of G, if for any two different vertices x and y in V, we have where The total vertex irregularity strength of G, denoted by tvs(G), is the smallest positive integer k for which G has a vertex irregular total k-labeling. In this paper, we determine the total vertex irregularity strength of an amalgamation of stars.