{"?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-E57PWQ5A/7ff5c3a8-6806-48cc-b94b-2f51bc0ad846/PDF","dcterms:extent":"229 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-E57PWQ5A/a81e3b52-be97-458a-8e06-5ef9a33c745d/TEXT","dcterms:extent":"16 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-E57PWQ5A","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2020","dc:creator":["Dukes, Peter J.","Iwasaki, Kaoruko"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:19"},{"@xml:lang":"sl","#text":"str. 17-23"}],"dc:identifier":["ISSN:1855-3974","COBISSID_HOST:42383619","URN:URN:NBN:SI:doc-E57PWQ5A"],"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":"geometric configurations"},{"@xml:lang":"sl","#text":"geometrijska konfiguracija"},{"@xml:lang":"en","#text":"incidence structures"},{"@xml:lang":"sl","#text":"incidenčne strukture"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Incidence structures near configurations of type (nsub3)|"},"dc:description":[{"@xml:lang":"sl","#text":"An ?$(n_3)$? configuration is an incidence structure equivalent to a linear hypergraph on ?$n$? vertices which is both 3-regular and 3-uniform. We investigate a variant in which one constraint, say 3-regularity, is present, and we allow exactly one line to have size four, exactly one line to have size two, and all other lines to have size three. In particular, we study planar (Euclidean or projective) representations, settling the existence question and adapting Steinitz' theorem for this setting"},{"@xml:lang":"sl","#text":"Konfiguracija ?$(n_3)$? je incidenčna struktura, ekvivalentna linearnemu hipergrafu na ?$n$? točkah, ki je tako 3-regularen kot tudi 3-uniformen. Raziskujemo različico te strukture, pri kateri je prisotna samo ena od teh dveh omejitev, na primer 3-regularnost, glede kratnosti premic pa velja, da so na eni premici štiri točke, na eni premici dve točki, na vseh ostalih premicah pa so po tri točke dane incidenčne strukture. Še posebej študiramo ravninske (bodisi evklidske bodisi projektivne) predstavitve ter razrešimo eksistenčno vprašanje in prilagodimo Steinitzev izrek za ta sestav"}],"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-E57PWQ5A","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-E57PWQ5A"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-E57PWQ5A/7ff5c3a8-6806-48cc-b94b-2f51bc0ad846/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-E57PWQ5A/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-E57PWQ5A"}}}}