Yayın: Distance eccentric connectivity index of graphs
Tarih
Kurum Yazarları
Cangul, Ismail Naci
Yazarlar
Alqesmah, Akram
Saleh, Anwar
Rangarajan, R.
Gunes, Aysun Yurttas
Danışman
Dil
Türü
Yayıncı:
Kyungpook Natl Univ, Dept Mathematics
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
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 byxi(De)(G) = Sigma(u is an element of V(G))deg(De)(u)e(u)where deg(De)(u) denotes the distance eccentricity degree of the vertex u in G. The aim of this paper is to introduce and study this new topological index. The values of the eccentric connectivity index is calculated for some fundamental graph classes and also for some graph operations. Some inequalities giving upper and lower bounds for this index are obtained.
Açıklama
Kaynak:
Anahtar Kelimeler:
Konusu
Topological descriptor, Eccentric connectivity index, Distance eccentric connectivity index, Topological graph index, Graph operation, Science & technology, Physical sciences, Mathematics, Mathematics