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Author: search.filters.author.José M. SigarretaLanguage: search.filters.language.English

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    Inequalities on the Generalized ABC Index
    (2021)
    BOSCH PÉREZ, PAUL JESÚS  
    ;
    Edil D. Molina
    ;
    José M. Rodríguez
    ;
    José M. Sigarreta
    In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randić index. Some of these inequalities for ABCα improved, when α=1/2, known results on the ABC index. Moreover, in order to obtain our results, we proved a kind of converse Hölder inequality, which is interesting on its own.
      1Scopus© Citations 6
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    On new Milne-type inequalities and applications
    (2023)
    BOSCH PÉREZ, PAUL JESÚS  
    ;
    José M. Rodríguez
    ;
    José M. Sigarreta
    Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain new Milne-type inequalities, and we apply them to the generalized Riemann–Liouville-type integral operators, which include most of the known Riemann–Liouville integral operators.
      18  1Scopus© Citations 23
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    On the variable inverse sum deg index
    (2023)
    Edil D. Molina
    ;
    BOSCH PÉREZ, PAUL JESÚS  
    ;
    José M. Sigarreta
    ;
    Eva Tourís
    Several important topological indices studied in mathematical chemistry are expressed in the following way Puv∈E(G) F(du, dv), where F is a two variable function that satisfies the condition F(x, y) = F(y, x), uv denotes an edge of the graph G and du is the degree of the vertex u. Among them, the variable inverse sum deg index ISDa, with F(du, dv) = 1/(dua + dva), was found to have several applications. In this paper, we solve some problems posed by Vukičević [1], and we characterize graphs with maximum and minimum values of the ISDa index, for a < 0, in the following sets of graphs with n vertices: graphs with fixed minimum degree, connected graphs with fixed minimum degree, graphs with fixed maximum degree, and connected graphs with fixed maximum degree. Also, we performed a QSPR analysis to test the predictive power of this index for some physicochemical properties of polyaromatic hydrocarbons. © 2023 the Author(s), licensee AIMS Press.
      8  1Scopus© Citations 2