A Note on The Weighted Wiener Index and The Weighted Quasi-Wiener Index

BÜYÜKKÖSE Ş., Mutlu N., Kaya Gok G.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.30, no.4, pp.413-419, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 4
  • Publication Date: 2017
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.413-419
  • Keywords: Weighted graph, Weighted Wiener index, Weighted quasi-Wiener index, Bound, GRAPHS, BOUNDS
  • Gazi University Affiliated: Yes

Abstract

In this study, we consider the weighted Wiener index and the weighted quasi-Wiener index of simple connected weighted graphs and we find some bounds for the weighted Wiener index and the weighted quasi-Wiener index of the weighted graphs. Moreover, we obtain some results by using these bounds for weighted and unweighted graphs.