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On the Ediz eccentric connectivity index of a graph

SÜLEYMAN EDİZ1,*

Affiliation

  1. Department of Mathematics, Yüzüncü Yıl University, Van 65080, Turkey

Abstract

If G is a connected graph with vertex set V, then the Ediz eccentric connectivity index of G, Eξ c (G) , is defined as( )vv VS∈ ec v Σ where v S 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..

Keywords

Ediz eccentric connectivity index, Eccentricity, Diameter.

Citation

SÜLEYMAN EDİZ, On the Ediz eccentric connectivity index of a graph, Optoelectronics and Advanced Materials - Rapid Communications, 5, 11, November 2011, pp.1263-1264 (2011).

Submitted at: Aug. 1, 2011

Accepted at: Nov. 23, 2011