A digital Jordan surface theorem with respect to a graph connectedness

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dc.contributor.authorŠlapal, Josefcs
dc.coverage.issue1cs
dc.coverage.volume21cs
dc.date.issued2023-12-31cs
dc.description.abstractAfter introducing a graph connectedness induced by a given set of paths of the same length, we focus on the 2-adjacency graph on the digital line Z with a certain set of paths of length n for every positive integer n . The connectedness in the strong product of three copies of the graph is used to define digital Jordan surfaces. These are obtained as polyhedral surfaces bounding the polyhedra that can be face-to-face tiled with digital tetrahedra.en
dc.formattextcs
dc.format.extent1-9cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationOpen Mathematics. 2023, vol. 21, issue 1, p. 1-9.en
dc.identifier.doi10.1515/math-2023-0172cs
dc.identifier.issn2391-5455cs
dc.identifier.orcid0000-0001-8843-6842cs
dc.identifier.other186967cs
dc.identifier.researcheridK-2755-2015cs
dc.identifier.scopus6602234420cs
dc.identifier.urihttp://hdl.handle.net/11012/245207
dc.language.isoencs
dc.publisherDe Gruytercs
dc.relation.ispartofOpen Mathematicscs
dc.relation.urihttps://www.degruyter.com/document/doi/10.1515/math-2023-0172/htmlcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2391-5455/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectsimple graphen
dc.subjectstrong producten
dc.subjectpathen
dc.subjectconnectednessen
dc.subjectdigital spaceen
dc.subjectJordan surface; MSC 2020: 52C22en
dc.subject68R10en
dc.titleA digital Jordan surface theorem with respect to a graph connectednessen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-186967en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:48:56en
sync.item.modts2025.01.17 19:34:28en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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