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Author: search.filters.author.Eva TourísSubject: search.filters.subject.connected graph

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    Item type:Publication,
    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