{"?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-HE5EKVLM/4262c442-f791-4faf-b7a2-68d0eae4f006/PDF","dcterms:extent":"408 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-HE5EKVLM/99ace329-0246-46f3-8410-e2cd720ffcdb/TEXT","dcterms:extent":"34 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-HE5EKVLM","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":["Bašić, Nino","Grošelj, Jan","Grünbaum, Branko","Pisanski, Tomaž"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"str. 1-17"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18699097","URN:URN:NBN:SI:doc-HE5EKVLM"],"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":"ciklični Haarov graf"},{"@xml:lang":"en","#text":"configuration of points and lines"},{"@xml:lang":"en","#text":"cyclic Haar graph"},{"@xml:lang":"en","#text":"Grünbaum graph"},{"@xml:lang":"sl","#text":"Grünbaumov graf"},{"@xml:lang":"en","#text":"independent set"},{"@xml:lang":"sl","#text":"konfiguracija točk in premic"},{"@xml:lang":"en","#text":"Levi graph"},{"@xml:lang":"sl","#text":"Levijev graf"},{"@xml:lang":"sl","#text":"neodvisna množica vozlišč"},{"@xml:lang":"sl","#text":"nerazcepna konfiguracije"},{"@xml:lang":"sl","#text":"nerazcepni graf"},{"@xml:lang":"sl","#text":"razcepni tip"},{"@xml:lang":"en","#text":"splitting type"},{"@xml:lang":"en","#text":"unsplittable configuration"},{"@xml:lang":"en","#text":"unsplittable graph"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Splittable and unsplittable graphs and configurations|"},"dc:description":[{"@xml:lang":"sl","#text":"We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic ?$(n_3)$? configurations. We also present a complete study of trivalent cyclic Haar graphs on at most 60 vertices with respect to splittability. Finally, we show that all cyclic flag-transitive configurations with the exception of the Fano plane and the Möbius-Kantor configuration are splittable"},{"@xml:lang":"sl","#text":"Dokažemo, da obstaja neskončno mnogo razcepnih in neskončno mnogo nerazcepnih ?$(n_3)$? konfiguracij. Podamo tudi popolno obravnavo trivalentnih cikličnih Haarovih grafov z največ 60 vozlišči glede na razcepnost. Na koncu pokažemo, da so vse praporno tranzitivne konfiguracije, razen Fanove ravnine in Möbius-Kantorjeve konfiguracije, razcepne"}],"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-HE5EKVLM","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-HE5EKVLM"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-HE5EKVLM/4262c442-f791-4faf-b7a2-68d0eae4f006/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-HE5EKVLM/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-HE5EKVLM"}}}}