{"?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-OJMVY4MU/c3ce3737-1fcd-4154-8aa7-fbc4388b74a7/PDF","dcterms:extent":"1074 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-OJMVY4MU/6a285163-ec9c-47c4-b64d-f74c1a502be0/TEXT","dcterms:extent":"27 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-OJMVY4MU","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2016","dc:creator":["Bokowski, Jürgen","Pilaud, Vincent"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"str. 99-112"}],"dc:identifier":["COBISSID:17734745","ISSN:1855-3966","URN:URN:NBN:SI:doc-OJMVY4MU"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"?$(n_k)$? configurations"},{"@xml:lang":"sl","#text":"incidenčne strukture točk in premic"},{"@xml:lang":"sl","#text":"konfiguracije"},{"@xml:lang":"en","#text":"point-line incidence structure"},{"@xml:lang":"en","#text":"projective arrangements"},{"@xml:lang":"sl","#text":"projektivne razporeditve"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Quasi-configurations| building blocks for point-line configurations|"},"dc:description":[{"@xml:lang":"sl","#text":"We study point-line incidence structures and their properties in the projective plane. Our motivation is the problem of the existence of ?$(n_4)$? configurations, still open for few remaining values of ?$n$?. Our approach is based on quasi-configurations: point-line incidence structures where each point is incident to at least 3 lines and each line is incident to at least 3 points. We investigate the existence problem for these quasi-configurations, with a particular attention to ?$3|4$?-configurations where each element is 3- or 4-valent. We use these quasi-configurations to construct the first ?$(37_4)$? and ?$(43_4)$? configurations. The existence problem of finding ?$(22_4)$?, ?$(23_4)$?, and ?$(26_4)$? configurations remains open"},{"@xml:lang":"sl","#text":"Preučujemo incidenčne stukture točk in premic ter njihove lastnosti na projektivni ravnini. Naša motivacija je problem obstoja ?$(n_4)$? konfiguracij, ki je še vedno odprt za nekaj vrednosti ?$n$?. Naš pristop temelji na kvazi-konfiguracijah: to so incidenčne strukture točk in premic, pri katerih je vsaka točka incidentna vsaj 3 premicam, vsaka premica pa je incidentna vsaj 3 točkam. Raziskujemo eksistenčni problem teh kvazikonfiguracij, pri čemer posebno pozornost posvečamo ?$3|4$?-konfiguracijam, kjer je vsak element 3- ali 4-valenten. Te kvazi-konfiguracije uporabimo za to, da konstruiramo prve ?$(37_4)$? in ?$(43_4)$? konfiguracije. Eksistenčni problem oziroma problem iskanja konfiguracij ?$(22_4)$?, ?$(23_4)$? in ?$(26_4)$? ostaja odprt"}],"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-OJMVY4MU","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-OJMVY4MU"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-OJMVY4MU/c3ce3737-1fcd-4154-8aa7-fbc4388b74a7/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-OJMVY4MU/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-OJMVY4MU"}}}}