title: On the Adjacent Eccentric Distance Sum Index of Graphs.
abstract: For a given graph G, ε(v) and deg(v) denote the eccentricity and the degree of the vertex v in G, respectively. The adjacent eccentric distance sum index of a graph G is defined as [Formula in text], where [Formula in text] is the sum of all distances from the vertex v. In this paper we derive some bounds for the adjacent eccentric distance sum index in terms of some graph parameters, such as independence number, covering number, vertex connectivity, chromatic number, diameter and some other graph topological indices.
authors.affiliation: Department of Mathematics, Shandong Institute of Business and Technology, Yantai, Shandong, China.
authors.forename: Hui
authors.initials: H
authors.lastname: Qu
authors.affiliation: School of Mathematical Sciences, Nankai University, Tianjin, China.
authors.forename: Shujuan
authors.initials: S
authors.lastname: Cao
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical