{"?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-BUU5GXGG/164eace5-e3c0-44d8-a8f2-45048614be74/PDF","dcterms:extent":"526 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-BUU5GXGG/12015a33-af1f-42a5-bfaf-12c93797c89e/TEXT","dcterms:extent":"73 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-BUU5GXGG/d9d1a57a-b7ae-4779-9142-7ec53961020c/PDF","dcterms:extent":"153 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-BUU5GXGG/b53176c4-42d9-4566-a080-09a030de55a4/TEXT","dcterms:extent":"3 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2026","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2026"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-BUU5GXGG","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2026","dc:creator":["Keranen, Melissa S.","Santizo Huerta, Zazil"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2, article  p2.10"},{"@xml:lang":"sl","#text":"letnik:26"},{"@xml:lang":"sl","#text":"str. 1-32"}],"dc:identifier":["DOI:10.26493/1855-3974.3316.6d0","ISSN:1855-3974","COBISSID_HOST:289331203","URN:URN:NBN:SI:doc-BUU5GXGG"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem"},"dc:subject":[{"@xml:lang":"en","#text":"2-factorizations"},{"@xml:lang":"sl","#text":"2-faktorizacija"},{"@xml:lang":"sl","#text":"ciklična dekompozicija"},{"@xml:lang":"en","#text":"cycle decomposition"},{"@xml:lang":"en","#text":"Hamilton-Waterloo problem"},{"@xml:lang":"sl","#text":"Hamilton–Waterloojev problem"},{"@xml:lang":"sl","#text":"ločljive dekompozicije"},{"@xml:lang":"en","#text":"Oberwolfach problem"},{"@xml:lang":"sl","#text":"Oberwolfachov problem"},{"@xml:lang":"en","#text":"resolvable decompositions"}],"dcterms:temporal":{"@rdf:resource":"2008-2026"},"dc:title":{"@xml:lang":"sl","#text":"On the Hamilton-Waterloo problem with a single factor of 6-cycles|"},"dc:description":[{"@xml:lang":"sl","#text":"The uniform Hamilton-Waterloo Problem (HWP) asks for a resolvable (CM, CN)-decomposition of Kv into ? CM-factors and ß CN-factors. We denote a solution to the uniform Hamilton-Waterloo problem by HWP(v; M, N; ?, ß). Our research concentrates on addressing some of the remaining unresolved cases, which pose a significant challenge to generalize. We place a particular emphasis on instances where the gcd (M, N) = {2, 3}, with a specific focus on the parameter M = 6. We introduce modifications to some known structures, and develop new approaches to resolving these outstanding challenges in the construction of uniform 2-factorizations. This innovative method not only extends the scope of solved cases, but also contributes to a deeper understanding of the complexity involved in solving the Hamilton-Waterloo Problem"},{"@xml:lang":"sl","#text":"Uniformni Hamilton–Waterloojev problem (HWP) zahteva ločljivo (CM, CN)-dekompozicijo grafa Kv na ? CM-faktorjev in ß CN-faktorjev. Rešitev uniformnega Hamilton–Waterloojevega problema označimo z HWP(v; M, N ; ?, ß). Naše raziskave se osredotočajo na obravnavo nekaterih preostalih nerešenih primerov, ki predstavljajo pomemben izziv za posploševanje. Posebno pozornost namenjamo primerom, kjer je gcd(M, N ) = {2, 3}, s posebnim poudarkom na parametru M = 6. Uvedemo modifikacije nekaterih znanih struktur ter razvijemo nove pristope za razreševanje teh odprtih izzivov pri konstrukciji uniformnih 2-faktorizacij. Ta inovativen pristop ne le razširja nabor rešenih primerov, temveč tudi prispeva k globljemu razumevanju kompleksnosti reševanja Hamilton–Waterloojevega problema"}],"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-BUU5GXGG","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-BUU5GXGG"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-BUU5GXGG/164eace5-e3c0-44d8-a8f2-45048614be74/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-BUU5GXGG/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-BUU5GXGG"}}}}