Author, as appears in the article.: Rodríguez-Velázquez, J.A.; Rodríguez, J.M.; Sigarreta, J.M.

Department: Enginyeria Informàtica i Matemàtiques

URV's Author/s: RODRÍGUEZ VELÁZQUEZ, JUAN ALBERTO; Rodríguez, J.M.; Sigarreta, J.M.

Keywords: Està en blanc

Abstract: Let G = (V, E) be a simple connected graph and di be the degree of its ith vertex. In a recent paper [J. Math. Chem. 46 (2009) 1369-1376] the first geometricarithmetic index of a graph G was defined as (Equation presented). This graph invariant is useful for chemical proposes. The main use of GA1 is for designing so-called quantitative structure-activity relations and quantitative structureproperty relations. In this paper we obtain new inequalities involving the geometricarithmetic index GA1 and characterize the graphs which make the inequalities tight. In particular, we improve some known results, generalize other, and we relate GA1 to other well-known topological indices.

Research group: Matemática Discreta

Thematic Areas: Enginyeria informàtica Ingeniería informática Computer engineering

licence for use: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 0340-6253

Author identifier: 0000-0002-9082-7647; ;

Record's date: 2018-02-05

Last page: 374

Journal volume: 78

Papper version: info:eu-repo/semantics/publishedVersion

Link to the original source: http://match.pmf.kg.ac.rs/electronic_versions/Match78/n2/match78n2_361-374.pdf

Entity: Universitat Rovira i Virgili

Journal publication year: 2017

First page: 361

Publication Type: Article Artículo Article