A new method for computing ABC index of nanostar dendrimers

Document Type : Full Length Article

Author

Department of Mathematics, Tarbiat Modarres University, P. O. Box: 14115-137, Tehran, I. R. Iran

Abstract

The ABC index is a topological index was defined as $ABC(G)=\sum_{uv\in E}\sqrt{(d_G (u) +d_G (v )- 2)/d_G (u)d_G (v )}  $, where $d_G(u)$  denotes degree of vertex u. The second version of ABC index is defined as $ABC_2(G)=\sum_{uv\in E}\sqrt{(n_u+n_v-2)/n_un_v}  $ where $n_u $is the number of vertices closer to vertex u than v. In this paper we study some properties of these new topological indices.

Graphical Abstract

A new method for computing ABC index of nanostar dendrimers


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Volume 3, 1-2
June 2013
Pages 23-31
  • Receive Date: 12 April 2012
  • Revise Date: 25 February 2013
  • Accept Date: 23 May 2016
  • Publish Date: 01 June 2013