{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-719RBM2D/68fb7201-d0b3-4f8c-bfae-8bfdb28fde0d/PDF","dcterms:extent":"244 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-719RBM2D/9a0bffb0-9281-4fbe-b255-3807354271f2/TEXT","dcterms:extent":"66 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-719RBM2D/baea8ce0-0c13-469e-b609-10269f4b4760/PDF","dcterms:extent":"120 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-719RBM2D/625821ec-d52b-4e4f-a4dc-c3c36ca260df/TEXT","dcterms:extent":"2 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-719RBM2D","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2023","dc:creator":"Suzuki, Yusuke","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:23"},{"@xml:lang":"sl","#text":"P1.04 (23 str.)"}],"dc:identifier":["DOI:10.26493/1855-3974.2704.31a","COBISSID_HOST:143758339","ISSN:1855-3966","URN:URN:NBN:SI:doc-719RBM2D"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"dokončna množica"},{"@xml:lang":"en","#text":"finitizable set"},{"@xml:lang":"en","#text":"generating theorem"},{"@xml:lang":"sl","#text":"izrek o generiranju"},{"@xml:lang":"sl","#text":"poliedrska kvadrangulacija"},{"@xml:lang":"en","#text":"polyhedral quadrangulation"},{"@xml:lang":"en","#text":"reduction"},{"@xml:lang":"sl","#text":"redukcija"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Finitizable set of reductions for polyhedral quadrangulations of closed surfaces|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper, we discuss generating theorems of polyhedral quadrangulations of closed surfaces. We prove that the set of the eight reductional operations ?$\\{R_1, \\ldots, R_8\\}$? defined for polyhedral quadrangulations is finitizable for any closed surface ?$F^2$?, that is, there exist finitely many minimal polyhedral quadrangulations of ?$F^2$? using such operations ?$R_1, \\ldots, R_7$? and ?$R_8$?. Furthermore, we show that any proper subset of ?$\\{R_1, \\ldots, R_8\\}$? is not finitizable for polyhedral quadrangulations of the torus"},{"@xml:lang":"sl","#text":"V prispevku obravnavamo izreke v zvezi z generiranjem poliedrskih kvadrangulacij sklenjenih ploskev. Dokažemo, da je množica osmih redukcijskih operacij ?$\\{R_1, \\ldots, R_8\\}$?, definiranih za poliedrske kvadrangulacije, dokončna za katero koli sklenjeno ploskev ?$F^2$?, to pomeni, da obstaja končno mnogo minimalnih poliedrskih kvadrangulacij ?$F^2$?, dobljenih z uporabo teh operacij ?$R_1, \\ldots, R_7$? in ?$R_8$?. Pokažemo tudi, da nobena prava podmnožica redukcijskih operacij ?$\\{R_1, \\ldots, R_8\\}$?, definiranih za poliedrske kvadrangulacije torusa, ni dokončna"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-719RBM2D","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-719RBM2D"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-719RBM2D/68fb7201-d0b3-4f8c-bfae-8bfdb28fde0d/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-719RBM2D/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-719RBM2D"}}}}