On topological indices of poly oxide, poly silicate, DOX, and DSL networks

Abdul Qudair Baig, Muhammad Imran, Haidar Ali

Research output: Contribution to journalArticlepeer-review

75 Citations (Scopus)

Abstract

Topological indices are numerical parameters of a graph that characterize its topology and are usually graph invariant. In a QSAR/QSPR study, physicochemical properties and topological indices such as Randić, atom-bond connectivity (ABC), and geometric-arithmetic (GA) indices are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study different interconnection networks and derive analytical closed results of the general Randić index (Rα(G)) for α = 1, 12,-1, -12 only, for dominating oxide network (DOX), dominating silicate network (DSL), and regular triangulene oxide network (RTOX). All of the studied interconnection networks in this paper are motivated by the molecular structure of a chemical compound, SiO4. We also compute the general first Zagreb, ABC, GA, ABC4, and GA5 indices and give closed formulae of these indices for these interconnection networks.

Original languageEnglish
Pages (from-to)730-739
Number of pages10
JournalCanadian Journal of Chemistry
Volume93
Issue number7
DOIs
Publication statusPublished - Mar 13 2015
Externally publishedYes

Keywords

  • Atom-bond connectivity (ABC) index
  • General Randić index
  • Geometric-arithmetic (GA) index
  • Hierarchical networks

ASJC Scopus subject areas

  • Catalysis
  • Chemistry(all)
  • Organic Chemistry

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