Publication:
f-polynomial on some graph operations

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorCarballosa Torres, Walter
dc.contributor.authorRodríguez García, José Manuel
dc.contributor.authorSigarreta Almira, José María
dc.contributor.authorVakhania, Nodari
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderAgencia Estatal de Investigación (España)es
dc.date.accessioned2022-07-20T09:50:12Z
dc.date.available2022-07-20T09:50:12Z
dc.date.issued2019-11-08
dc.description.abstractGiven any function f:Z+→R+ , let us define the f-index If(G)=∑u∈V(G)f(du) and the f-polynomial Pf(G,x)=∑u∈V(G)x1/f(du)−1, for x>0 . In addition, we define Pf(G,0)=limx→0+Pf(G,x) . We use the f-polynomial of a large family of topological indices in order to study mathematical relations of the inverse degree, the generalized first Zagreb, and the sum lordeg indices, among others. In this paper, using this f-polynomial, we obtain several properties of these indices of some classical graph operations that include corona product and join, line, and Mycielskian, among others.en
dc.description.sponsorshipSupported in part by two grants from the 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.en
dc.format.extent18
dc.identifier.bibliographicCitationCarballosa, W., Rodríguez, J. M., Sigarreta, J. M., & Vakhania, N. (2019). f-Polynomial on Some Graph Operations. In Mathematics (Vol. 7, Issue 11, p. 1074). MDPI AG.en
dc.identifier.doihttps://doi.org/10.3390/math7111074
dc.identifier.issn2227-7390
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue11(1074)
dc.identifier.publicationlastpage18
dc.identifier.publicationtitleMathematicsen
dc.identifier.publicationvolume7
dc.identifier.urihttps://hdl.handle.net/10016/35501
dc.identifier.uxxiAR/0000024417
dc.language.isoengen
dc.publisherMDPI AG.en
dc.relation.projectIDGobierno de España. MTM2016-78227-C2-1-Pes
dc.relation.projectIDGobierno de España. MTM2017-90584-REDTes
dc.rights© 2019 by the authors. Licensee MDPI, Basel, Switzerland.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.otherInverse Degree Indexen
dc.subject.otherGeneralized First Zagreb Indexen
dc.subject.otherSum Lordeg Indexen
dc.subject.otherCorona Producten
dc.subject.otherJoin Of Graphsen
dc.subject.otherLine Graphen
dc.subject.otherMycielskian Graphen
dc.subject.otherPolynomials In Graphsen
dc.titlef-polynomial on some graph operationsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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