Distance Eccentric Connectivity Index of Graphs

---

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

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

• 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
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• 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