{"?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-UPHKK7ER/86fca0b4-2130-4b2e-9675-e318369454eb/PDF","dcterms:extent":"463 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-UPHKK7ER/75a3f17f-3295-4a46-ad0f-93ef4a97dd8f/TEXT","dcterms:extent":"65 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-UPHKK7ER","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":["Feng, Yan-Quan","Wang, Yi"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:17"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 591-615"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18975833","URN:URN:NBN:SI:doc-UPHKK7ER"],"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":"bi-Cayley grap"},{"@xml:lang":"sl","#text":"bi-Cayleyjev graf"},{"@xml:lang":"en","#text":"half-arc-transitive graph"},{"@xml:lang":"sl","#text":"metaciklična grupa"},{"@xml:lang":"en","#text":"metacyclic group"},{"@xml:lang":"sl","#text":"pol-ločno tranzitiven graf"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Bipartite edge-transitive bi-p-metacirculants|"},"dc:description":[{"@xml:lang":"sl","#text":"A graph is a bi-Cayley graph over a group if the group acts semiregularly on the vertex set of the graph with two orbits. Let ?$G$? be a non-abelian metacyclic ?$p$?-group for an odd prime ?$p$?. In this paper, we prove that if ?$G$? is a Sylow ?$p$?-subgroup in the full automorphism group ?$\\text{Aut}(\\Gamma)$? of a graph ?$\\Gamma$?, then ?$G$? is normal in ?$\\text{Aut}(\\Gamma)$?. As an application, we classify the half-arc-transitive bipartite bi-Cayley graphs over ?$G$? of valency less than ?$2p$?, while the case for valency 4 was given by M.-M. Zhang and J.-X. Zhou J. Graph Theory 92, No. 1, 19-38 (2019). It is further shown that there are no semisymmetric or arc-transitive bipartite bi-Cayley graphs over ?$G$? of valency less than ?$p$?"},{"@xml:lang":"sl","#text":"Graf je bi-Cayleyjev graf nad neko grupo, če ta grupa na množici vozlišč grafa deluje semiregularno z dvema orbitama. Naj bo ?$G$? nekomutativna metaciklična ?$p$?-grupa za liho praštevilo ?$p$?. V članku dokažemo, da če je ?$G$? ?$p$?-podgrupa Sylowa polne grupe avtomorfizmov ?$\\text{Aut}(\\Gamma)$? grafa ?$\\Gamma$?, potem je ?$G$? podgrupa edinka grupe ?$\\text{Aut}(\\Gamma)$?. Na podlagi tega rezultata klasificiramo pol-ločno tranzitivne dvodelne bi-Cayleyjeve grafe nad ?$G$? z valenco manj kot ?$2p$?. Klasifikacijo takšnih grafov z valenco 4 sta podala Zhang in Zhou leta 2019. Nadalje pokažemo, da ni nobenih semisimetričnih ali ločno tranzitivnih dvodelnih bi-Cayleyjevih grafov nad ?$G$?, ki bi imeli valenco manjšo od ?$p$?"}],"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-UPHKK7ER","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-UPHKK7ER"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-UPHKK7ER/86fca0b4-2130-4b2e-9675-e318369454eb/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-UPHKK7ER/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-UPHKK7ER"}}}}