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Szeged and GA2 indices of Suzuki's Bi-branched dendrimers

A. R. ASHRAFI1, A. SEYED MIRZAEI2, G. H. FATH-TABAR1,*

Affiliation

  1. Department of Mathematics, Faculty of Science, University of Kashan, Kashan 87317-51167, Iran
  2. Department of Science , Islamic Azad University, Qom Branch, Qom, Iran

Abstract

Let G be a simple connected graph. If e = uv is an edge of G and nu(e) is the number of vertices closer to u than v and nv(e) is the number of vertices closer to v than u then the Szeged and second GA indices of G are defined as Sz(G) = Σe=uv nu(e)nv(e) and GA2(G) = Σe=uv2 /[nu(e) + nv(e)]. In this paper, the Szeged and GA2 indices of two types of dendrimers are computed for the first time.

Keywords

Topological indices, Branched dendrimers.

Citation

A. R. ASHRAFI, A. SEYED MIRZAEI, G. H. FATH-TABAR, Szeged and GA2 indices of Suzuki's Bi-branched dendrimers, Optoelectronics and Advanced Materials - Rapid Communications, 4, 12, December 2010, pp.2194-2197 (2010).

Submitted at: Oct. 22, 2010

Accepted at: Nov. 29, 2010