{"?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-V8EYJBSA/e1d65e2f-70ac-4c92-bbbd-ac655b78d884/PDF","dcterms:extent":"348 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-V8EYJBSA/20217deb-97e2-4d2e-a2e8-e2725ca97729/TEXT","dcterms:extent":"28 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-V8EYJBSA","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":["Adachi, Saori","Nozaki, Hiroshi"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:13"},{"@xml:lang":"sl","#text":"str. 1-13"}],"dc:identifier":["COBISSID:18166873","ISSN:1855-3966","URN:URN:NBN:SI:doc-V8EYJBSA"],"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":"ekstremalna teorija množic"},{"@xml:lang":"sl","#text":"Erdős-Ko-Rado-jev izrek"},{"@xml:lang":"sl","#text":"neodvisna množica"},{"@xml:lang":"sl","#text":"premerni graf"},{"@xml:lang":"sl","#text":"s-razdaljna množica"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On the largest subsets avoiding the diameter of (0, plus-minus1)-vectors|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$L_{mkl}\\subset \\mathbb{R}^{m+k+l}$? be the set of vectors which have ?$m$? of entries ?$-1$?, ?$k$? of entries ?$0$?, and ?$l$? of entries ?$1$?. In this paper, we investigate the largest subset of ?$L_{mkl}$? whose diameter is smaller than that of ?$L_{mkl}$?. The largest subsets for ?$m=1$?, ?$l=2$?, and any ?$k$? will be classified. From this result, we can classify the largest ?$4$?-distance sets containing the Euclidean representation of the Johnson scheme ?$J(9,4)$?. This was an open problem in Bannai, Sato, and Shigezumi (2012)"},{"@xml:lang":"sl","#text":"Naj bo ?$L_{mkl}\\subset \\mathbb{R}^{m+k+l}$? množica vektorjev, ki imajo ?$m$? koordinat enakih ?$-1$?, $k$ koordinat enakih ?$0$? in ?$l$? koordinat enakih ?$1$?. V članku raziščemo največjo podmnožico množice ?$L_{mkl}$?, katere premer je manjši od premera množice ?$L_{mkl}$?. Klasificiramo največje podmnožice v primerih ?$m=1$?, ?$l=2$? pri poljubnem ?$k$?. S pomočjo tega rezultata lahko klasificiramo največje ?$4$?-razdaljne množice, ki vsebujejo evklidsko reprezentacijo Johnsonove sheme ?$J(9,4)$?. To je bil odprt problem, ki so ga zastavili Bannai, Sato in Shigezumi (2012)"}],"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-V8EYJBSA","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-V8EYJBSA"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-V8EYJBSA/e1d65e2f-70ac-4c92-bbbd-ac655b78d884/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-V8EYJBSA/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-V8EYJBSA"}}}}