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On the maximal general ABC index of graphs with given maximum degree

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorDas, Kinkar Chandra
dc.contributor.authorRodríguez García, José Manuel
dc.contributor.authorSigarreta Almira, José María
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (España)es
dc.date.accessioned2022-01-11T11:57:39Z
dc.date.available2022-12-01T00:00:05Z
dc.date.issued2020-12-01
dc.description.abstractThe atom-bond connectivity index ABC is a topological index that has recently found remarkable applications in the study of the strain energy of cycloalkanes as well as in rationalizing the stability of linear and branched alkanes. In order to improve the correlation properties of the atom-bond connectivity index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely, ABCα = ABCα (G) = uv∈E(G) du + dv − 2 dudv α for any α ∈ R \ {0}, where dv is the degree of the vertex v and uv denotes the edge connecting the vertices u and v of graph G. Here, we obtain some optimization results for ABCα of the connected graph G.en
dc.description.sponsorshipThe authors are grateful to the referees for their valuable comments on our manuscript, which have considerably improved the presentation of this paper. This work was supported in part by two grants from Ministerio de Economía y Competititvidad, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) (MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain, and a grant from Agencia Estatal de Investigación (PID2019-106433GB-I00 / AEI / 10.13039/50110 0 011033), Spain.en
dc.format.extent12
dc.identifier.bibliographicCitationDas, K. C., Rodríguez, J. M. & Sigarreta, J. M. (2020). On the maximal general ABC index of graphs with given maximum degree. Applied Mathematics and Computation, 386, 125531.en
dc.identifier.doihttps://doi.org/10.1016/j.amc.2020.125531
dc.identifier.issn0096-3003
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue125531
dc.identifier.publicationlastpage12
dc.identifier.publicationtitleApplied Mathematics and Computationen
dc.identifier.publicationvolume386
dc.identifier.urihttps://hdl.handle.net/10016/33859
dc.identifier.uxxiAR/0000027780
dc.language.isoengen
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. MTM2016-78227-C2-1-Pes
dc.relation.projectIDGobierno de España. PID2019-106433GB-I00es
dc.relation.projectIDGobierno de España. MTM2017-90584-REDTes
dc.rights© 2020 Elsevier Inc. All rights reserved.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherOptimization problemsen
dc.subject.otherABC Indexen
dc.subject.otherGeneralized ABC indexen
dc.subject.otherDegree-based topological indicesen
dc.titleOn the maximal general ABC index of graphs with given maximum degreeen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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