{"?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-77CT8SR4/aaeb32b6-62d8-4b2c-bc16-302b231b9fe2/PDF","dcterms:extent":"346 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-77CT8SR4/793802fe-5dee-44ef-9500-20180a0ad4b4/TEXT","dcterms:extent":"33 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-77CT8SR4","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2017","dc:creator":["Feng, Yan-Quan","Wang, Yi"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:13"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 343-353"}],"dc:identifier":["COBISSID:18359897","ISSN:1855-3966","URN:URN:NBN:SI:doc-77CT8SR4"],"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":"Cayleyjev graf"},{"@xml:lang":"sl","#text":"grupa avtomorfizmov"},{"@xml:lang":"sl","#text":"teorija grafov"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Half-arc-transitive graphs of prime-cube order of small valencies|"},"dc:description":[{"@xml:lang":"sl","#text":"A graph is called half-arc-transitive if its full automorphism group acts transitively on vertices and edges, but not on arcs. It is well known that for any prime ?$p$? there is no half-arc-transitive graph of order ?$p$? or ?$p^2$?. M. Xu J. Algebr. Comb. 1, No. 3, 275--282 (1992 classified half-arc-transitive graphs of order ?$p^3$? and valency 4. In this paper we classify half-arc-transitive graphs of order ?$p^3$? and valency 6 or 8. In particular, the first known infinite family of half-arc-transitive Cayley graphs on non-metacyclic ?$p$?-groups is constructed"},{"@xml:lang":"sl","#text":"Graf se imenuje pol-ločno-tranzitiven, če njegova polna grupa avtomorfizmov deluje tranzitivno na vozliščih in povezavah, ne pa tudi na lokih. Dobro znano je, da za vsako praštevilo ?$p$? velja, da ne obstaja pol-ločno-tranzitiven graf reda ?$p$? ali ?$p^2$?. Leta 1992 je Xu klasificiral pol-ločno-tranzitivne grafe reda ?$p^3$? in stopnje 4. V članku klasificiramo pol-ločno-tranzitivne grafe reda ?$p^3$? in stopnje 6 ali 8. Posebej konstruiramo prvo doslej znano neskončno družino pol-ločno-tranzitivnih Cayleyjevih grafov na ne-metacikličnih ?$p$?-grupah"}],"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-77CT8SR4","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-77CT8SR4"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-77CT8SR4/aaeb32b6-62d8-4b2c-bc16-302b231b9fe2/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-77CT8SR4/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-77CT8SR4"}}}}