MAXIMAL GRAPHS OF THE FIRST REVERSE ZAGREB BETA INDEX

Abstract

The reverse vertex degree of a vertex v of a simple connected graph G defined as; cv = ∆ − dv + 1 where ∆ denotes the largest of all degrees of vertices of G and dv denotes the number of edges incident to v. The first reverse Zagreb beta index of a simple connected graph G defined as; CMβ 1 G = P uv∈E G cu + cv . In this paper we characterized maximal graphs with respect to the first reverse Zagreb beta index

Keywords

• Reverse vertex degree,Reverse Zagreb indices,First reverse Zagreb betaindex

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