On the Ediz eccentric connectivity index of a graph

Ediz S.

OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, cilt.5, sa.11, ss.1263-1264, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 11
  • Basım Tarihi: 2011
  • Dergi Adı: OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1263-1264
  • Anahtar Kelimeler: Ediz eccentric connectivity index, Eccentricity, Diameter
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.