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On the variable inverse sum deg index

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dc.contributor.authorMolina, Edil D.
dc.contributor.authorBosch, Paul
dc.contributor.authorSigarreta, José M.
dc.contributor.authorTourís , Eva
dc.date.accessioned2024-05-15T21:00:45Z
dc.date.available2024-05-15T21:00:45Z
dc.date.issued2023
dc.description.abstractSeveral important topological indices studied in mathematical chemistry are expressed in the following way , where is a two variable function that satisfies the condition , denotes an edge of the graph and is the degree of the vertex . Among them, the variable inverse sum deg index , with , 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 index, for , in the following sets of graphs with 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.
dc.description.sponsorshipAgencia Estatal de Investigación, AEI
dc.description.versionVersión publicada
dc.format.extent14 p.
dc.identifier.citationEdil D. Molina, Paul Bosch, José M. Sigarreta, Eva Tourís. On the variable inverse sum deg index[J]. Mathematical Biosciences and Engineering, 2023, 20(5): 8800-8813
dc.identifier.doihttps://doi.org/10.3934/mbe.2023387
dc.identifier.issn1547-1063
dc.identifier.urihttps://hdl.handle.net/11447/8779
dc.language.isoen
dc.rightsAtribución-NoComercial-CompartirIgual 3.0 Chile (CC BY-NC-SA 3.0 CL)
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/cl/
dc.sourceMathematical Biosciences and Engineering
dc.subjectvariable inverse sum deg index
dc.subjectinverse sum indeg index
dc.subjectoptimization on graphs
dc.subjectdegree-based topological index
dc.titleOn the variable inverse sum deg index
dc.typeArticle
dcterms.accessRightsAcceso abierto
dspace.entity.typePublication

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