Distance Eccentric Connectivity Index of Graphs

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Alqesmah A., Saleh A., Rangarajan R., Yurttaş Güneş A., Cangül İ. N.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.61, sa.1, ss.61-74, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.5666/kmj.2021.61.1.61
  • Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.61-74
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Let G = (V, E) be a connected graph. The eccentric connectivity index of G is defined by xi(C) (G) = Sigma(u)(is an element of V)((G)) deg(u)e(u), where deg(u) and e(u) denote the degree and eccentricity of the vertex u in G, respectively. In this paper, we introduce a new formulation of xi(C) that will be called the distance eccentric connectivity index of G and defined by