{"?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-NZA2SKG9/597fb302-347f-44fe-ac18-ed988f485653/PDF","dcterms:extent":"380 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-NZA2SKG9/4e11a306-e8a2-4e74-afe5-351eec48c642/TEXT","dcterms:extent":"32 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-NZA2SKG9","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":["Ahanjideh, Milad","Iranmanesh, Ali"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"str. 203-213"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18704985","URN:URN:NBN:SI:doc-NZA2SKG9"],"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":"connection sequence"},{"@xml:lang":"en","#text":"nilpotent group"},{"@xml:lang":"sl","#text":"nilpotentna grupa"},{"@xml:lang":"en","#text":"nowhere-zero flow"},{"@xml:lang":"sl","#text":"povsod neničelni tok"},{"@xml:lang":"sl","#text":"rešljiva grupa"},{"@xml:lang":"en","#text":"solvable group"},{"@xml:lang":"en","#text":"Tutte's 3-flow conjecture"},{"@xml:lang":"sl","#text":"Tuttova domneva o 3-toku"},{"@xml:lang":"sl","#text":"zaporedje povezav"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The validity of Tutte's 3-flow conjecture for some Cayley graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"Tutte's 3-flow conjecture claims that every bridgeless graph with no 3-edge-cut admits a nowhere-zero 3-flow. In this paper we verify the validity of Tutte's 3-flow conjecture on Cayley graphs of certain classes of finite groups. In particular, we show that every Cayley graph of valency at least 4 on a generalized dicyclic group has a nowhere-zero 3-flow. We also show that if ?$G$? is a solvable group with a cyclic Sylow 2-subgroup and the connection sequence ?$S$? with ?$|S| \\geq 4$? contains a central generator element, then the corresponding Cayley graph ?$\\mathrm{Cay}(G, S)$? admits a nowhere-zero 3-flow"},{"@xml:lang":"sl","#text":"Tuttova domneva o 3-toku trdi, da vsak graf, ki nima ne mostov ne 3-povezavnih rezov, dopušča povsod neničelni 3-tok. V članku potrdimo veljavnost Tuttove domneve o 3-toku za Cayleyjeve grafe določenih razredov končnih grup. Tako npr. pokažemo, da ima vsak Cayleyjev graf na posplošeni diciklični grupi valence 4 povsod neničelni 3-tok. Pokažemo tudi, da ?$\\mathrm{Cay}(G, S)$? dopušča povsod neničelni 3-tok, če je ?$G$? rešljiva grupa s ciklično sylowsko 2-podgrupo"}],"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-NZA2SKG9","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-NZA2SKG9"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-NZA2SKG9/597fb302-347f-44fe-ac18-ed988f485653/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-NZA2SKG9/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-NZA2SKG9"}}}}