Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers

Muhammad Kamran Siddiqui, Muhammad Imran, Muhammad Azhar Iqbal

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

Graph theory plays an important role in modeling and designing any chemical network. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity and biological activity are determined by the chemical applications of graph theory. These properties can be characterized by certain graph invariants referred to as topological indices. A molecular descriptor (topological index) is a numerical representation of a chemical structure which correlates certain physico-chemical characteristics of underlying chemical compounds besides its numerical representation. Chemical graph theory plays an important role in modeling and designing any chemical network as well as in discrete dynamical systems. These properties can be characterized by certain graph invariants referred to as topological indices in discrete dynamical systems. In this paper, we discuss the fractal and Cayley tree type dendrimers and computed exact results for degree based molecular descriptor.

Original languageEnglish
Pages (from-to)57-72
Number of pages16
JournalJournal of Applied Mathematics and Computing
Volume61
Issue number1-2
DOIs
Publication statusPublished - Oct 1 2019

Keywords

  • Augmented Zagreb index
  • Balaban index
  • Forgotten topological index
  • Fractal and Cayley tree type dendrimers
  • Molecular descriptor
  • Zagreb type indices

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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