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April 3, 2023
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On the variable inverse sum deg index

Publicated to:Mathematical Biosciences and Engineering. 20 (5): 8800-8813 - 2023-01-01 20(5), DOI: 10.3934/mbe.2023387

Authors: Molina, E.D.; Bosch, P.; Sigarreta, J.M.; Tourís, E.

Affiliations

Univ Autonoma Guerrero, Fac Matemat, Carlos E Adame 54 Col Garita, Acalpulco Gro 39650, Mexico - Author
Univ Autonoma Madrid, Dept Matemat, Campus Cantoblanco, Madrid 28049, Spain - Author
Univ Desarrollo, Fac Ingn, Ave La Plaza 680, Santiago, Chile - Author
Universidad Autonoma de Guerrero - Author
Universidad Autónoma de Madrid - Author
Universidad del Desarrollo - Author
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Abstract

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.

Keywords

degree-based topological indexinverse sum indeg indexoptimization on graphsdegree-based topological indexinverse sum indeg indexoptimization on graphsvariable inverse sum deg indexDegree-based topological indexInverse sum indeg indexOptimization on graphsVariable inverse sum deg index

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Mathematical Biosciences and Engineering due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position 24/55, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematical & Computational Biology. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Agricultural and Biological Sciences (Miscellaneous).

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 1.35, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-18, the following number of citations:

  • WoS: 1
  • Scopus: 2

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-18:

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

    It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

    Leadership analysis of institutional authors

    This work has been carried out with international collaboration, specifically with researchers from: Chile; Mexico.

    There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (TOURIS LOJO, EVA).