Autor segons l'article: Rodriguez, J M; Rodriguez-Velazquez, J A; Sigarreta, J M
Departament: Enginyeria Informàtica i Matemàtiques
Autor/s de la URV: Rodríguez Velázquez, Juan Alberto
Paraules clau: Està en blanc
Resum: 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.
Àrees temàtiques: Mathematics, interdisciplinary applications Mathematics, applied Matemática / probabilidade e estatística General chemistry Engenharias iv Engenharias iii Computer science, interdisciplinary applications Computer science applications Computational theory and mathematics Ciência da computação Chemistry, multidisciplinary Chemistry (miscellaneous) Chemistry (all) Chemistry Applied mathematics
Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
Adreça de correu electrònic de l'autor: juanalberto.rodriguez@urv.cat
Identificador de l'autor: 0000-0002-9082-7647
Data d'alta del registre: 2024-10-26
Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
Referència a l'article segons font original: Match-Communications In Mathematical And In Computer Chemistry. 78 (2): 361-374
Referència de l'ítem segons les normes APA: Rodriguez, J M; Rodriguez-Velazquez, J A; Sigarreta, J M (2017). New inequalities involving the geometric-arithmetic index. Match-Communications In Mathematical And In Computer Chemistry, 78(2), 361-374
Entitat: Universitat Rovira i Virgili
Any de publicació de la revista: 2017
Tipus de publicació: Journal Publications
Repositori URV