Edge eccentric connectivity index of nanothorns

Berberler Z. N., Berberler M. E.

BULGARIAN CHEMICAL COMMUNICATIONS, no.1, pp.165-170, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Journal Name: BULGARIAN CHEMICAL COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.165-170
  • Keywords: Edge eccentric connectivity index, Eccentric connectivity index, Eccentricity, Zagreb index, Thorny graph, GRAPH-THEORY, NUMBER
  • Dokuz Eylül University Affiliated: Yes

Abstract

The edge eccentric connectivity index of a graph G is defined as xi(c)(e)(G) = Sigma(f is an element of E(G))deg(G)(f)epsilon c(G)(f), where deg(G)(f) is the degree of an edge f and ec(G)(f) is its eccentricity. In this paper, we investigate the edge eccentric connectivity index of a class of nanographs, namely, nanothorns and we present an explicit formula for the edge eccentric connectivity index of nanothorns. The results are applied to compute this eccentricity-related invariant for some important classes of chemical graphs by specializing components of this type of graphs. In addition, an algorithm is designed for calculating the edge eccentric connectivity index of graphs.