{"?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-HLAR8KK0/D7054725-C5E3-4937-BD50-2907F749A310/PDF","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-HLAR8KK0/c45f1093-586e-40cf-89e9-12f89b1fd081/PDF","dcterms:extent":"335 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-HLAR8KK0/10fc36ec-6da3-44d8-aeab-b502f0211c2a/TEXT","dcterms:extent":"43 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-HLAR8KK0","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2010","dc:creator":["Feng, Yan-Quan","Wang, Xiuyun"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:3"},{"@xml:lang":"sl","#text":"str. 151-163"}],"dc:identifier":["COBISSID:15859033","ISSN:1855-3966","URN:URN:NBN:SI:doc-HLAR8KK0"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"sl","#text":"Cayleyjevi grafi"},{"@xml:lang":"sl","#text":"matematika"},{"@xml:lang":"sl","#text":"teorija grafov"},{"@xml:lang":"sl","#text":"tranzitivni grafi"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Half-arc-transitive graphs of order 4p of valency twice a prime|"},"dc:description":{"@xml:lang":"sl","#text":"A graph is half-arc-transitive if its automorphism group acts transitively on vertices and edges, but not on arcs. Let ?$p$? be a prime. Cheng and Oxley On weakly symmetric graphs of order twice a prime, J. Combin. Theory B 42 (1987),196-211 proved that there is no half-arc-transitive graph of order ?$2p$?, and Alspach and Xu 1/2-transitive graphs of order ?$3p$?, J. Algebraic Combin. 3 (1994), 347-355 classified half-arc-transitive graphs of order ?$3p$?. In this paper we classify half-arc-transitive graphs of order ?$4p$? of valency ?$2q$? for each prime ?$q \\ge 5$?. It is shown that such graphs exist if and only if ?$p - 1$? is divisible by ?$4q$?. Moreover, for such ?$p$? and ?$q$? a unique half-arc-transitive graph of order ?$4p$? and valency ?$2q$? exists and this graph is a Cayley graph"},"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-HLAR8KK0","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-HLAR8KK0"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-HLAR8KK0/D7054725-C5E3-4937-BD50-2907F749A310/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-HLAR8KK0/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-HLAR8KK0"}}}}