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

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