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On the monoid of partial isometries of a cycle graph

2023Artigo científico Acesso aberto
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dc.contributor.authorFernandes, Vítor Hugo
dc.contributor.authorPaulista, Tânia
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.pblTUBITAK
dc.date.accessioned2024-01-08T23:03:34Z
dc.date.available2024-01-08T23:03:34Z
dc.date.issued2023
dc.descriptionPublisher Copyright: © TÜBİTAK
dc.description.abstractIn this paper we consider the monoid DPCn of all partial isometries of an n-cycle graph Cn. We show that DPCn is the submonoid of the monoid of all oriented partial permutations on an n-chain whose elements are precisely all restrictions of a dihedral group of order 2n. Our main aim is to exhibit a presentation of DPCn. We also describe Green’s relations of DPCn and calculate its cardinality and rank.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent15
dc.format.extent304385
dc.identifier.doi10.55730/1300-0098.3460
dc.identifier.issn1300-0098
dc.identifier.otherPURE: 80231555
dc.identifier.otherPURE UUID: c110bffa-90d0-4ffe-b1f6-bf88a3f3a5a8
dc.identifier.otherScopus: 85173496305
dc.identifier.otherORCID: /0000-0003-1057-4975/work/151428741
dc.identifier.urihttp://hdl.handle.net/10362/162058
dc.identifier.urlhttps://www.scopus.com/pages/publications/85173496305
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
dc.relationCenter for Mathematics and Applications
dc.relationCenter for Mathematics and Applications
dc.subjectcycle graphs
dc.subjectorientation
dc.subjectpartial isometries
dc.subjectpresentations
dc.subjectrank
dc.subjectTransformations
dc.subjectGeneral Mathematics
dc.titleOn the monoid of partial isometries of a cycle graphen
dc.typejournal article
degois.publication.firstPage1746
degois.publication.issue6
degois.publication.lastPage1760
degois.publication.titleTurkish Journal of Mathematics
degois.publication.volume47
dspace.entity.typePublication
oaire.awardNumberUIDB/00297/2020
oaire.awardNumberUIDP/00297/2020
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublicationd00ae22f-ec2b-47b2-935e-60cb44493cc6
relation.isProjectOfPublication65d392f7-8781-4d70-b9f3-069b07d4a311
relation.isProjectOfPublication.latestForDiscoveryd00ae22f-ec2b-47b2-935e-60cb44493cc6

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