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Extremal problems on the general Sombor index of a graph

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorHernandez, Juan C.
dc.contributor.authorRodríguez García, José Manuel
dc.contributor.authorRosario, O.
dc.contributor.authorSigarreta Almira, José María
dc.contributor.funderComunidad de Madrides
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-05-15T08:11:37Z
dc.date.available2023-05-15T08:11:37Z
dc.date.issued2022
dc.description.abstractIn this work we obtain new lower and upper optimal bounds of general Sombor indices. Specifically, we get inequalities for these indices relating them with other indices: the first Zagreb index, the forgotten index and the first variable Zagreb index. Finally, we solve some extremal problems for general Sombor indices.en
dc.description.sponsorshipWe would like to thank the reviewers by their careful reading of the manuscript and their suggestions which have improved the presentation of this work. The research of José M. Rodríguez and José M. Sigarreta was supported by a grant from Agencia Estatal de Investigación (PID2019-106433GB-I00/AEI/10.13039/501100011033), Spain. The research of Jose M. Rodríguez is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).en
dc.format.extent14
dc.identifier.bibliographicCitationHernández, J. C., Rodríguez, J. M., Rosario, O., & Sigarreta, J. M. (2022). Extremal problems on the general Sombor index of a graph. AIMS mathematics, 7(5), 8330-8343.en
dc.identifier.doihttp://dx.doi.org/10.3934/math.2022464
dc.identifier.issn2473-6988
dc.identifier.publicationfirstpage8330
dc.identifier.publicationissue5
dc.identifier.publicationlastpage8343
dc.identifier.publicationtitleAIMS Mathematicsen
dc.identifier.publicationvolume7
dc.identifier.urihttps://hdl.handle.net/10016/37292
dc.identifier.uxxiAR/0000032669
dc.language.isoeng
dc.publisherAIMS Pressen
dc.relation.projectIDGobierno de España. PID2019-106433GB-I00es
dc.relation.projectIDComunidad de Madrid. EPUC3M23es
dc.rights© 2022 the Author(s).en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherDegree-based topological indicesen
dc.subject.otherInequalitiesen
dc.subject.otherSombor indicesen
dc.subject.otherVariable indicesen
dc.titleExtremal problems on the general Sombor index of a graphen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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