{"?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-ZAJVSGD8/4b26ac14-5d32-494f-91c2-c43c45d81351/PDF","dcterms:extent":"419 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZAJVSGD8/4f1636e0-2bd5-4ce8-b2e0-0612b0ba4147/TEXT","dcterms:extent":"41 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-ZAJVSGD8","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2017","dc:creator":"Petelczyc, Krzysztof","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:13"},{"@xml:lang":"sl","#text":"str. 107-123"}],"dc:identifier":["COBISSID:18183257","ISSN:1855-3966","URN:URN:NBN:SI:doc-ZAJVSGD8"],"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":"konfiguracije"},{"@xml:lang":"sl","#text":"Möbiusova konfiguracija"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On some generalization of the Möbius configuration|"},"dc:description":[{"@xml:lang":"sl","#text":"The Möbius ?$(8_4)$? configuration is generalized in a purely combinatorial approach. We consider ?$(2n_n)$? configurations ?$\\mathfrak{M}_{(n,\\varphi)}$? depending on a permutation ?$\\varphi$? in the symmetric group ?$S_n$?. Classes of non-isomorphic configurations of this type are determined. The parametric characterization of ?$\\mathfrak{M}_{(n,\\varphi)}$? is given. The uniqueness of the decomposition of ?$\\mathfrak{M}_{(n,\\varphi)}$? into two mutually inscribed ?$n$?-simplices is discussed. The automorphisms of ?$\\mathfrak{M}_{(n,\\varphi)}$? are characterized for ?$n\\geq 3$?"},{"@xml:lang":"sl","#text":"Möbiusovo ?$(8_4)$? konfiguracijo posplošimo na povsem kombinatoričen način. Obravnavamo ?$(2n_n)$? konfiguracije ?$\\mathfrak{M}_{(n,\\varphi)}$? odvisne od permutacije ?$\\varphi$? v simetrični grupi ?$S_n$?. Določimo razrede tovrstnih neizomorfnih konfiguracij in podamo parametrično karakterizacijo konfiguracije ?$\\mathfrak{M}_{(n,\\varphi)}$?. Obravnavamo enoličnost dekompozicije konfiguracije ?$\\mathfrak{M}_{(n,\\varphi)}$? na dva vzajemno včrtana ?$n$?-simpleksa. Karakteriziramo avtomorfizme konfiguracije ?$\\mathfrak{M}_{(n,\\varphi)}$? za ?$n\\geq 3$?"}],"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-ZAJVSGD8","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-ZAJVSGD8"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZAJVSGD8/4b26ac14-5d32-494f-91c2-c43c45d81351/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-ZAJVSGD8/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-ZAJVSGD8"}}}}