International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Connectivity, PI and vertex-PI indices and polynomials of an infinite class of dendrimer nanostars

Lihui Yang1* Jingzhong Liu2 and Qianhong Zhang3
1Department of Mathematics, Hunan City Universtiy, Yiyang City, Hunan 413000, P. R. China. 2Department of Computer and Information Science, Hengyang, Hunan 421008, P. R. China. 3Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, P. R. China.
Email: [email protected]

  •  Accepted: 07 February 2012
  •  Published: 23 February 2012

Abstract

A dendrimer is an artificially manufactured or synthesized molecule built up from branched units called monomers. In this paper, we shall give the exact formulas for the first-connectivity, second-connectivity indices and polynomials, PI and vertex-PI indices and polynomials of an infinite class of dendrimer nanostars.

 

Key words: Connectivity index, connectivity polynomial, PI index, vertex-PI index, PI polynomial, vertex PI polynomial, dendrimer nanostar.