Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/10902
Title: Linear and non-linear inequalities on the inverse sum indeg index
Authors: Gutman, Ivan
Rodríguez J.
Sigarreta, José M.
Issue Date: 2019
Abstract: © 2018 Elsevier B.V. Let G be a graph with vertex set V(G) and edge set E(G), and let d u be the degree of the vertex u∈V(G). In contemporary mathematical chemistry a large number of graph invariants of the form ∑ uv∈E(G) F(d u ,d v ) are studied. Among them the “inverse sum indeg index” ISI, for which F(d u ,d v )=d u d v ∕(d u +d v ), was found to have outstanding applicative properties. The aim of this paper is to obtain new inequalities for ISI and to characterize graphs extremal with respect to them. Some of these inequalities generalize and improve previous results.
URI: https://scidar.kg.ac.rs/handle/123456789/10902
Type: article
DOI: 10.1016/j.dam.2018.10.041
ISSN: 0166-218X
SCOPUS: 2-s2.0-85056659258
Appears in Collections:Faculty of Science, Kragujevac

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