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New inequalities involving the geometric-arithmetic index

  • Datos identificativos

    Identificador: imarina:5131858
    Autores:
    Rodriguez, J MRodriguez-Velazquez, J ASigarreta, J M
    Resumen:
    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.
  • Otros:

    Autor según el artículo: Rodriguez, J M; Rodriguez-Velazquez, J A; Sigarreta, J M
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Rodríguez Velázquez, Juan Alberto
    Palabras clave: Està en blanc
    Resumen: 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.
    Áreas temáticas: 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
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: juanalberto.rodriguez@urv.cat
    Identificador del autor: 0000-0002-9082-7647
    Fecha de alta del registro: 2024-10-26
    Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
    Enlace a la fuente original: https://match.pmf.kg.ac.rs/content78n2.htm
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Match-Communications In Mathematical And In Computer Chemistry. 78 (2): 361-374
    Referencia 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
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2017
    Tipo de publicación: Journal Publications
  • Palabras clave:

    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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