On topological properties of poly honeycomb networks

Muhammad Imran, Abdul Qudair Baig, Haidar Ali, Shafiq Ur Rehman

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as the Randić, the atom-bond connectivity (ABC) and the 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 poly honeycomb networks which are generated by a honeycomb network of dimension n and derive analytical closed results for the general Randić index Rα(G) for different values of α, for a David derived network (DD(n)) of dimension n, a dominating David derived network (DDD(n)) of dimension n as well as a regular triangulene silicate network of dimension n. We also compute the general first Zagreb, ABC, GA, ABC4and GA5indices for these poly honeycomb networks for the first time and give closed formulas of these degree based indices in case of poly honeycomb networks.

Original languageEnglish
Pages (from-to)100-119
Number of pages20
JournalPeriodica Mathematica Hungarica
Issue number1
Publication statusPublished - Sept 1 2016
Externally publishedYes


  • Atom-bond connectivity (ABC) index
  • David derived networks
  • General Randić index
  • Geometric-arithmetic (GA) index
  • Regular triangulene silicate network

ASJC Scopus subject areas

  • General Mathematics


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