{"?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-9QT912PT/1f32a4c7-61c2-4058-aaa8-ad366fae7b03/PDF","dcterms:extent":"1079 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-9QT912PT/83dc5555-9345-4516-8035-8b5b90f2bfc1/TEXT","dcterms:extent":"43 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-9QT912PT/88d02dcc-4d36-4838-bda2-275decb0fdcc/PDF","dcterms:extent":"225 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-9QT912PT/5a0c2748-dd52-43e5-88da-30120f5264b2/TEXT","dcterms:extent":"4 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-9QT912PT","dcterms:issued":"2021","dc:creator":["Berman, Leah","Gévay, Gábor","Pisanski, Tomaž"],"dc:format":[{"@xml:lang":"sl","#text":"številka:3"},{"@xml:lang":"sl","#text":"letnik:4"},{"@xml:lang":"sl","#text":"str. 1-18"}],"dc:identifier":["DOI:10.26493/2590-9770.1408.f90","ISSN:2590-9770","COBISSID_HOST:96599811","URN:URN:NBN:SI:doc-9QT912PT"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:source":{"@xml:lang":"sl","#text":"The art of discrete and applied mathematics"},"dc:subject":[{"@xml:lang":"sl","#text":"aksialna afinost"},{"@xml:lang":"en","#text":"Axial affinity"},{"@xml:lang":"en","#text":"geometric configuration"},{"@xml:lang":"sl","#text":"geometrijska konfiguracija"},{"@xml:lang":"en","#text":"Grünbaum calculus"},{"@xml:lang":"sl","#text":"Grünbaumov račun"}],"dc:title":{"@xml:lang":"sl","#text":"Connected geometric(nk) configurations existfor almost all n|"},"dc:description":{"@xml:lang":"sl","#text":"In a series of papers and in his 2009 book on configurations Branko Grünbaum de-scribed a sequence of operations to produce new(n4)configurations from various inputconfigurations. These operations were later called the “Grünbaum Incidence Calculus”. Wegeneralize two of these operations to produce operations on arbitrary(nk)configurations.Using them, we show that for anykthere exists an integerNksuch that for anyn?Nkthere exists a geometric(nk)configuration. We use empirical results fork= 2,3,4, andsome more detailed analysis to improve the upper bound for larger values ofk"},"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-9QT912PT","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-9QT912PT"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-9QT912PT/1f32a4c7-61c2-4058-aaa8-ad366fae7b03/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-9QT912PT/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-9QT912PT"}}}}