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, vol.61, no.1, pp.61-74, 2021 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 61 Issue: 1
• Publication Date: 2021
• Doi Number: 10.5666/kmj.2021.61.1.61
• Journal Name: KYUNGPOOK MATHEMATICAL JOURNAL
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
• Page Numbers: pp.61-74
• Open Archive Collection: AVESIS Open Access Collection
• Bursa Uludag University Affiliated: Yes

Abstract

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