The Edge Eccentric Connectivity Index of Dendrimers


Odabas Z. N.

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, vol.10, no.4, pp.783-784, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2013
  • Doi Number: 10.1166/jctn.2013.2770
  • Journal Name: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.783-784
  • Keywords: Eccentricity, Eccentric Connectivity Index, Edge Eccentric Connectivity Index, Dendrimers
  • Dokuz Eylül University Affiliated: No

Abstract

Let G be a connected graph with vertex set V(G) and an edge set E(G). The edge eccentric connectivity index of G, denoted by xi(c)(e)(G), is defined as xi(c)(e)(G) = Sigma(f is an element of E(G))deg(f)ec(f), where deg(f) is the degree of an edge f and ec(f) is its eccentricity. In this paper, exact formula for the edge eccentric connectivity index of dendrimers is derived.