Computing topological indices of certain networks

M. K. Siddiqui, M. Naeem, N. A. Rahman, M. Imran

Research output: Contribution to journalArticlepeer-review

95 Citations (Scopus)

Abstract

A topological index is actually designed by transforming a chemical structure into a number. These topological indices associate certain physico-chemical properties like boiling point, stability, strain energy etc of chemical compounds. Graph theory has found a considerable use in this area of research. The topological properties of certain networks are studied recently. In this paper, we extend this study to interconnection networks and derive analytical closed results of general Randi c index R (G) for different values of for octagonal network, toroidal polyhex and generalized prism. We also compute first Zagreb, ABC , and GA indices for these important classes of networks.

Original languageEnglish
Pages (from-to)884-892
Number of pages9
JournalJournal of Optoelectronics and Advanced Materials
Volume18
Issue number9-10
Publication statusPublished - Sep 1 2016

Keywords

  • Atom-bond connectivity (ABC) index
  • General Randi c' c index
  • Geometric-arithmetic (GA) index
  • Octagonal network mn O Toroidal polyhex n m H and generalized prism m n P

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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