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New inequalities involving the geometric-arithmetic index

  • Dades identificatives

    Identificador: imarina:5131858
    Autors:
    Rodriguez, J MRodriguez-Velazquez, J ASigarreta, J M
    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.
  • Altres:

    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
    Enllaç font original: https://match.pmf.kg.ac.rs/content78n2.htm
    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
  • Paraules clau:

    Applied Mathematics,Chemistry,Chemistry (Miscellaneous),Chemistry, Multidisciplinary,Computational Theory and Mathematics,Computer Science Applications,Computer Science, Interdisciplinary Applications,Mathematics, Applied,Mathematics, Interdisciplinary Applications
    Està en blanc
    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
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