Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/11680
Title: On some degree-and-distance-based graph invariants of trees
Authors: Gutman I.
Furtula, Boris
das, kinkar
Issue Date: 2016
Abstract: © 2016 Elsevier Inc. Let G be a connected graph with vertex set V(G). For u, v ∈ V(G), d(v) and d(u, v) denote the degree of the vertex v and the distance between the vertices u and v. A much studied degree-and-distance-based graph invariant is the degree distance, defined as DD=∑{u,v}⊆V(G)[d(u)+d(v)]d(u,v). A related such invariant (usually called Gutman index) is ZZ=∑{u,v}⊆V(G)[d(u)·d(v)]d(u,v). If G is a tree, then both DD and ZZ are linearly related with the Wiener index W=∑{u,v}⊆V(G)d(u,v). We examine the difference DD-ZZ for trees and establish a number of regularities.
URI: https://scidar.kg.ac.rs/handle/123456789/11680
Type: article
DOI: 10.1016/j.amc.2016.04.040
ISSN: 0096-3003
SCOPUS: 2-s2.0-84969130561
Appears in Collections:Faculty of Science, Kragujevac

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