Computing topological indices and polynomials for line graphs

Shahid Imran, Muhammad Kamran Siddiqui, Muhammad Imran, Muhammad Faisal Nadeem

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

A topological index is a number related to the atomic index that allows quantitative structure-action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.

Original languageEnglish
Article number137
JournalMathematics
Volume6
Issue number8
DOIs
Publication statusPublished - Aug 10 2018

Keywords

  • First and second Zagreb index
  • Hyper Zagreb index
  • Ladder
  • Line graph
  • Multiple Zagreb indices
  • Subdivision graph
  • Tadpole
  • Wheel
  • Zagreb polynomials

ASJC Scopus subject areas

  • General Mathematics

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