Bounds of topological indices of tensor product of graph operations

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

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Graph theory is nowadays a powerful tool in predicting a large number of physico-chemical properties of chemical compounds. There are various methods to quantify the molecular structures, of which the topological index is the most popular since it can be obtained directly from molecular structures and rapidly computed for large number of molecules. Among these indices, the Randić connectivity index is the most successful and commonly used degree-based molecular descriptor in structure-property and structure-activity relationships studies. In this paper, the lower and upper bounds for general Randić, general sum-connectivity and harmonic indices for tensor product of certain graph operations on graphs are determined.

Original languageEnglish
Pages (from-to)3067-3091
Number of pages25
JournalFar East Journal of Mathematical Sciences
Volume102
Issue number12
DOIs
Publication statusPublished - Dec 2017

Keywords

  • F-sum on graphs
  • General Randić index
  • Harmonic index
  • Sum-connectivity index
  • Tensor product of graphs

ASJC Scopus subject areas

  • General Mathematics

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