On reformulated Narumi-Katayama index


Cancan M., De N., Alaeiyan M., Farahani M. R.

Proyecciones, vol.39, no.5, pp.1333-1346, 2020 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.22199/issn.0717-6279-2020-05-0081
  • Journal Name: Proyecciones
  • Journal Indexes: Scopus, Academic Search Premier, Fuente Academica Plus, zbMATH, DIALNET
  • Page Numbers: pp.1333-1346
  • Keywords: Degree, Graph, Graph operations, Reformulated NK-index, Topological indices
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

copyright © Murat Cancan, Nilanjan De, Mehdi Alaeiyan, and Mohammad Reza Farahani.A graph is a mathematical model form by set of dots for vertices some of which are connected bylines named as edges. A topological index is a numeric value obtained from a graph mathematically which characterize its topology. The reformulated Narumi-Katayama index of a graph G is defined as the product of edge degrees of all the vertices of G which is introduced in 1984, to used the carbon skeleton of a saturated hydrocarbons. The degree of an edge is given by the sum of degrees of the end vertices of the edge minus 2. In this paper, we compute the reformulated Narumi-Katayama index for different graph operations.