On the Ediz eccentric connectivity index of a graph

Ediz S.

OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, vol.5, no.11, pp.1263-1264, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 11
  • Publication Date: 2011
  • Journal Name: OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1263-1264
  • Keywords: Ediz eccentric connectivity index, Eccentricity, Diameter
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

If G is a connected graph with vertex set V, then the Ediz eccentric connectivity index of G, (E)xi(c)(G), is defined as ()Sigma(v is an element of V) S(v)/ec(v) where S(v) is the sum of degrees of all vertices adjacent to vertex v and ec(v) is its eccentricity. In this paper we investigate some mathematical properties of the Ediz eccentric connectivity index.