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Computing ABC4 index of nanostar dendrimers

M. GHORBANI1,* , M. A. HOSSEINZADEH1

Affiliation

  1. Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, 16785-136, I. R. Iran, Department of Mathematical Science, Sharif University of Technology, Tehran, 1

Abstract

The ABC index is a topological index was defined as d ( ) d ( ) 2 ( ) d ( )d ( ) G G uv E G G ABC G u v u v ∈ + − = Σ , where d ( ) G u denotes degree of vertex u. Now we define a new version of ABC index as 4 ( ) δ ( ) δ ( ) 2 ( ) δ ( )δ ( ) G G uv E G G G ABC G u v ∈ u v + − = Σ , where ( ) ( ) d ( ) G uv E G G u v ∈ δ =Σ . The goal of this paper is further the study of the ABC4 index.

Keywords

ABC4 Index, Nanostar Dendrimers, Chemical graph theory.

Citation

M. GHORBANI, M. A. HOSSEINZADEH, Computing ABC4 index of nanostar dendrimers, Optoelectronics and Advanced Materials - Rapid Communications, 4, 9, September 2010, pp.1419-1422 (2010).

Submitted at: July 19, 2010

Accepted at: Sept. 15, 2010