{"?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-6LOAEB73/cb5466bf-e0f8-4dc3-9353-2f257832ae80/PDF","dcterms:extent":"573 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-6LOAEB73/7333dabb-ce73-4894-8602-83a41b22979b/TEXT","dcterms:extent":"54 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-6LOAEB73","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2015","dc:creator":"Alspach, Brian","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:8"},{"@xml:lang":"sl","#text":"str. 35-53"}],"dc:identifier":["COBISSID:17368153","ISSN:1855-3966","URN:URN:NBN:SI:doc-6LOAEB73"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"Cayley graph"},{"@xml:lang":"sl","#text":"Cayleyjev graf"},{"@xml:lang":"en","#text":"Coxeter group"},{"@xml:lang":"sl","#text":"Coxeterjeva grupa"},{"@xml:lang":"en","#text":"Hamilton path"},{"@xml:lang":"en","#text":"Hamilton-connected"},{"@xml:lang":"en","#text":"Hamilton-laceable"},{"@xml:lang":"sl","#text":"Hamiltonova pot"},{"@xml:lang":"sl","#text":"hamiltonsko povezan"},{"@xml:lang":"sl","#text":"hamiltonsko prepleten"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Hamilton paths in Cayley graphs on Coxeter groups: I|"},"dc:description":[{"@xml:lang":"sl","#text":"We consider several families of Cayley graphs on the finite Coxeter groups ?$A_n$?, ?$B_n$?, and ?$D_n$? with regard to the problem of whether they are Hamilton-laceable or Hamilton-connected. It is known that every connected bipartite Cayley graph on ?$A_n$?, ?$n \\ge 2$?, whose connection set contains only transpositions and has valency at least three is Hamilton-laceable. We obtain analogous results for connected bipartite Cayley graphs on ?$B_n$?, and for connected Cayley graphs on ?$D_n$?. Non-bipartite examples arise for the latter family"},{"@xml:lang":"sl","#text":"Obravnavamo več družin Cayleyjevih grafov končnih Coxeterjevih grup ?$A_n$?, ?$B_n$? in ?$D_n$? glede na problem, ali so hamiltonsko prepletene ali hamiltonsko povezane. Znano je, da je vsak nepovezan dvodelen Cayleyev graf grupe ?$A_n$?, ?$n \\ge 2$?, katerega množica povezav vsebuje samo transpozicije in ima valenco najmanj tri, hamiltonsko prepleten. Analogne rezultate dobimo za povezan dvodelen Cayleyev graf grup ?$B_n$?, in za povezane Cayleyeve grafe grup ?$D_n$?. Pri tej zadnji družini dobimo ne-dvodelne primere"}],"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-6LOAEB73","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-6LOAEB73"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-6LOAEB73/cb5466bf-e0f8-4dc3-9353-2f257832ae80/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-6LOAEB73/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-6LOAEB73"}}}}