On the bounds of the forgotten topological index

Suresh Elumalai, Toufi K. Mansour, Mohammad Ali Rostami

Research output: Contribution to journalArticlepeer-review

Abstract

The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph G: In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree. Then we give Nordhaus-Gaddum- type inequalities for the forgotten topological index and coindex. Finally, we correct the number of extremal chemical trees on 15 vertices.

Original languageEnglish
Pages (from-to)1687-1702
Number of pages16
JournalTurkish Journal of Mathematics
Volume41
Issue number6
DOIs
StatePublished - 2017

Bibliographical note

Publisher Copyright:
© TÜBI˙TAK.

Keywords

  • First Zagreb index
  • Forgotten topological index
  • Second Zagreb index

ASJC Scopus subject areas

  • Mathematics (all)

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