A digital 3D Jordan-Brouwer separation theorem

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dc.contributor.authorŠlapal, Josefcs
dc.coverage.issue3cs
dc.coverage.volume32cs
dc.date.accessioned2025-06-12T09:55:54Z
dc.date.available2025-06-12T09:55:54Z
dc.date.issued2024-10-25cs
dc.description.abstractWe introduce a connectedness in the digital space Z^3 induced by a quaternary relation. Using this connectedness, we prove a digital 3D Jordan-Brouwer separation theorem for boundary surfaces of the digital polyhedra that may be face-to-face tiled with certain digital tetrahedra in Z^3. An advantage of the digital Jordan surfaces obtained over those given by the Khalimskyen
dc.formattextcs
dc.format.extent161-172cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAnalele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica. 2024, vol. 32, issue 3, p. 161-172.en
dc.identifier.doi10.2478/auom-2024-0034cs
dc.identifier.issn1224-1784cs
dc.identifier.orcid0000-0001-8843-6842cs
dc.identifier.other190036cs
dc.identifier.researcheridK-2755-2015cs
dc.identifier.scopus6602234420cs
dc.identifier.urihttps://hdl.handle.net/11012/252168
dc.language.isoencs
dc.publisherOvidius University Constantacs
dc.relation.ispartofAnalele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematicacs
dc.relation.urihttps://www.anstuocmath.ro/mathematics/anale2024v3/9_Slapal.pdfcs
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1224-1784/cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/cs
dc.subjectDigital spaceen
dc.subjectDigital Jordan surfaceen
dc.subjectConnectednessen
dc.subjectQuaternary relationen
dc.subjectDigital 3D tiling.en
dc.titleA digital 3D Jordan-Brouwer separation theoremen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-190036en
sync.item.dbtypeVAVen
sync.item.insts2025.06.12 11:55:54en
sync.item.modts2025.06.12 11:33:05en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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