Extremal chemical trees of the first reverse Zagreb beta index


Ediz S. , Semiz M.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.24, no.4, pp.144-148, 2018 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.7546/nntdm.2018.24.4.144-148
  • Title of Journal : NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
  • Page Numbers: pp.144-148

Abstract

The reverse vertex degree of a vertex v of a simple connected graph G defined as c(v) = Delta - d(v) + 1, where Delta denotes the largest of all degrees of vertices of G and d(v) denotes the number of edges incident to v. The first reverse Zagreb beta index of a simple connected graph G defined as CM1 beta(G) = Sigma(uv is an element of E(G))(c(u) + c(v)). In this paper, we characterized maximum chemical trees with respect to the first reverse Zagreb beta index.