On the bounds of degree-based topological indices of the Cartesian product of F-sum of connected graphs

Muhammad Imran, Shakila Baby, Hafiz Muhammad Afzal Siddiqui, Muhammad Kashif Shafiq

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

Topological indices are the mathematical tools that correlate the chemical structure with various physical properties, chemical reactivity or biological activity numerically. A topological index is a function having a set of graphs as its domain and a set of real numbers as its range. In QSAR/QSPR study, a prediction about the bioactivity of chemical compounds is made on the basis of physico-chemical properties and topological indices such as Zagreb, Randić and multiple Zagreb indices. In this paper, we determine the lower and upper bounds of Zagreb indices, the atom-bond connectivity (ABC) index, multiple Zagreb indices, the geometric-arithmetic (GA) index, the forgotten topological index and the Narumi-Katayama index for the Cartesian product of F-sum of connected graphs by using combinatorial inequalities.

Original languageEnglish
Article number305
JournalJournal of Inequalities and Applications
Volume2017
DOIs
Publication statusPublished - 2017

Keywords

  • ABC-index
  • Cartesian product
  • F-index
  • F-sum
  • GA-index
  • Zagreb index

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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