{"?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-NZVQYPL0/81ce283f-761c-4a15-91b5-0ffef37a8c15/PDF","dcterms:extent":"340 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-NZVQYPL0/c8c7cc57-40de-4a43-8c4c-2ed4d449779a/TEXT","dcterms:extent":"39 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-NZVQYPL0","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":["Lo Faro, Giovanni","Tripodi, Antoinette"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"str. 119-139"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18703449","URN:URN:NBN:SI:doc-NZVQYPL0"],"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":"3-sončni sistemi"},{"@xml:lang":"en","#text":"3-sun system"},{"@xml:lang":"sl","#text":"diferenčna množica"},{"@xml:lang":"en","#text":"difference set"},{"@xml:lang":"en","#text":"embedding"},{"@xml:lang":"en","#text":"oriented hypergraphs"},{"@xml:lang":"sl","#text":"orientirani hipergrafi"},{"@xml:lang":"sl","#text":"vložitev"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The Doyen-Wilson theorem for 3-sun systems|"},"dc:description":[{"@xml:lang":"sl","#text":"A solution to the existence problem of $G$-designs with given subdesigns is known when ?$G$? is a triangle with ?$p = 0, 1$?, or ?$2$? disjoint pendent edges: for ?$p = 0$?, it is due to J. Doyen and R. M. Wilson Discrete Math. 5, 229-239 (1973), the first to pose such a problem for Steiner triple systems; for ?$p = 1$? and ?$p = 2$?, the corresponding designs are kite systems and bull designs, respectively. Here, a complete solution to the problem is given in the remaining case where ?$G$? is a 3-sun, i.e. a graph on six vertices consisting of a triangle with three pendent edges which form a 1-factor"},{"@xml:lang":"sl","#text":"Rešitev eksistenčnega problema ?$G$?-načrtov z danimi podnačrti je znana za primer, ko je ?$G$? trikotnik s ?$p = 0, 1$?, ali ?$2$? disjunktnimi nanj obešenimi povezavami: za ?$p = 0$? sta rešitev podala Doyen in Wilson, ki sta prva zastavila takšen problem za Steinerjeve sisteme trojic; za ?$p = 1$? so ustrezni načrti sistemi zmajev, za ?$p = 2$? pa sistemi bikov. Tukaj je dana popolna rešitev problema v preostalem primeru, ko je ?$G$? 3-sonce, tj. graf na šestih vozliščih, sestoječ iz trikotnika s tremi nanj obešenimi povezavami, ki tvorijo 1-faktor"}],"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-NZVQYPL0","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-NZVQYPL0"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-NZVQYPL0/81ce283f-761c-4a15-91b5-0ffef37a8c15/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-NZVQYPL0/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-NZVQYPL0"}}}}