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
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Entity: Universitat Rovira i Virgili
Journal publication year: 2017
First page: 361
Publication Type: Article Artículo Article
Repositori URV