{"?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-124WZNBL/f35e46b9-514a-4964-804a-ff44386a4561/PDF","dcterms:extent":"311 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-124WZNBL/d0a52dd9-d126-44a3-bfc1-64419988a808/TEXT","dcterms:extent":"24 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-124WZNBL","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":["Lindner, Charles Curtis","Lo Faro, Giovanni","Tripodi, Antoinette"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"str. 19-29"}],"dc:identifier":["COBISSID:17732697","ISSN:1855-3966","URN:URN:NBN:SI:doc-124WZNBL"],"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":"maksimalna pakiranja 6-ciklov"},{"@xml:lang":"sl","#text":"maksimalna pakiranja trojic"},{"@xml:lang":"en","#text":"maximum packing with 6-cycles"},{"@xml:lang":"en","#text":"maximum packing with triples"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Squashing maximum packings of 6-cycles into maximum packings of triples|"},"dc:description":[{"@xml:lang":"sl","#text":"A 6-cycle is said to be squashed if we identify a pair of opposite vertices and name one of them with the other (and thereby turning the 6-cycle into a pair of triples with a common vertex). The squashing problem for 6-cycle systems was introduced by C. C. Lindner, M. Meszka and A. Rosa and completely solved by determining the spectrum. In this paper, by employing PBD and GDD-constructions and filling techniques, we extend this result by squashing maximum packings of ?$K_n$? with 6-cycles into maximum packings of ?$K_n$? with triples. More specifically, we establish that for each ?$n \\ge 6$?, there is a max packing of ?$K_n$? with 6-cycles that can be squashed into a maximum packing of ?$K_n$? with triples"},{"@xml:lang":"sl","#text":"6-cikel imenujemo stisnjen, če identificiramo par nasprotnih vozlišč in damo enemu od njiju ime drugega (na ta način pretvorimo 6-cikel v par trojic s skupnim vozliščem). Problem stisnjenja sistemov 6-ciklov, ki so ga zastavili C. C. Lindner, M. Meszka in A. Rosa, je bil popolnoma rešen z določitvijo spektra. V tem članku posplošimo ta rezultat s pomočjo PBD in GDD-konstrukcij in tehnik zapolnitve, in stisnemo maksimalna pakiranja ?$K_n$? s 6-cikli v maksimalna pakiranja ?$K_n$? s trojicami. Natančneje: pokažemo, da za vsak ?$n \\ge 6$? obstaja maksimalno pakiranje grafa ?$K_n$? s 6-cikli, ki ga lahko stisnemo v maksimalno pakiranje grafa ?$K_n$? s trojicami"}],"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-124WZNBL","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-124WZNBL"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-124WZNBL/f35e46b9-514a-4964-804a-ff44386a4561/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-124WZNBL/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-124WZNBL"}}}}