{"?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-I2K004IK/e4631f63-f358-4183-aa68-aec7846be09c/PDF","dcterms:extent":"359 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-I2K004IK/f782bda7-1e84-474f-afae-dd6f6bef075b/TEXT","dcterms:extent":"42 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-I2K004IK","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":["Conder, Marston D. E.","Potočnik, Primož","Šparl, Primož"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:8"},{"@xml:lang":"sl","#text":"str. 149-162"}],"dc:identifier":["COBISSID:17187417","ISSN:1855-3966","URN:URN:NBN:SI:doc-I2K004IK"],"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":"arc-transitive"},{"@xml:lang":"en","#text":"edge-transitive"},{"@xml:lang":"sl","#text":"graf"},{"@xml:lang":"en","#text":"graph"},{"@xml:lang":"en","#text":"half arc-transitive"},{"@xml:lang":"sl","#text":"pol-ločno-tranzitiven"},{"@xml:lang":"sl","#text":"povezavno-tranzitiven"},{"@xml:lang":"en","#text":"vertex-transitive"},{"@xml:lang":"sl","#text":"vozliščno-tranzitiven"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Some recent discoveries about half-arc-transitive graphs| dedicated to Dragan Marušič on the occasion of his 60th birthday|"},"dc:description":[{"@xml:lang":"sl","#text":"We present some new discoveries about graphs that are half-arc-transitive (that is, vertex- and edge-transitive but not arc-transitive). These include the recent discovery of the smallest half-arc-transitive 4-valent graph with vertex-stabiliser of order 4, and the smallest with vertex-stabiliser of order 8, two new half-arc-transitive 4-valent graphs with dihedral vertex-stabiliser ?$D_4$? (of order 8), and the first known half-arc-transitive 4-valent graph with vertex-stabiliser of order 16 that is neither abelian nor dihedral. We also use half-arc-transitive group actions to provide an answer to a recent question of Delorme about 2-arc-transitive digraphs that are not isomorphic to their reverse"},{"@xml:lang":"sl","#text":"Predstavimo nekaj novih odkritij o grafih, ki so pol-ločno-tranzitivni (t.j., so vozliščno- in povezavno-tranzitivni, niso pa ločno-tranzitivni). Mednje sodi nedavno odkritje najmanjšega pol-ločno-tranzitivnega 4-valentnega grafa z ogliščnim stabilizatorjem reda 4, in najmanjšega z vozliščnim stabilizatorjem reda 8, dva nova pol-ločno-tranzitivna 4-valentna grafa z diedrskim vozliščnim stabilizatorjem ?$D_4$? (reda 8), in prvi znani pol-ločno-tranzitivni 4-valentni graf z vozliščnim stabilizatorjem reda 16, ki ni niti abelski niti diedrski. Uporabimo tudi pol-ločno-tranzitivna grupna delovanja, da dobimo odgovor na nedavno Delormejevo vprašanje v zvezi z 2-ločno-tranzitivnimi digrafi, ki niso izomorfni njihovemu reverzu"}],"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-I2K004IK","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-I2K004IK"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-I2K004IK/e4631f63-f358-4183-aa68-aec7846be09c/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-I2K004IK/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-I2K004IK"}}}}