{"?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-XA9F52TI/85d95066-e601-42ab-95cf-04c94d1695af/PDF","dcterms:extent":"280 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-XA9F52TI/46f85a6e-b16f-4e7f-a859-9c2b16f4dce6/TEXT","dcterms:extent":"40 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-XA9F52TI","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2020","dc:creator":["Lehner, Florian","Verret, Gabriel"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:19"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 173-187"}],"dc:identifier":["ISSN:1855-3974","COBISSID_HOST:43995651","URN:URN:NBN:SI:doc-XA9F52TI"],"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":"barvanje točk"},{"@xml:lang":"en","#text":"distinguishing number"},{"@xml:lang":"sl","#text":"razlikovalno število"},{"@xml:lang":"en","#text":"symmetry breaking in graph"},{"@xml:lang":"en","#text":"vertex colouring"},{"@xml:lang":"en","#text":"vertex-transitive graphs"},{"@xml:lang":"sl","#text":"vozliščno tranzitivni grafi"},{"@xml:lang":"sl","#text":"zlom simetrije v grafu"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Distinguishing numbers of finite 4-valent vertex-transitive graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"The distinguishing number of a graph ?$G$? is the smallest ?$k$? such that ?$G$? admits a ?$k$?-colouring for which the only colour-preserving automorphism of ?$G$? is the identity. We determine the distinguishing number of finite 4-valent vertex-transitive graphs. We show that, apart from one infinite family and finitely many examples, they all have distinguishing number 2"},{"@xml:lang":"sl","#text":"Razlikovalno število ?$G$? je najmanjše število ?$k$?, pri katerem obstaja ?$k$?-barvanje grafa ?$G$? z lastnostjo, da je edini avtomorfizem grafa ?$G$?, ki ohranja barve, identiteta. Določimo razlikovalno število končnih 4-valentnih vozliščno tranzitivnih grafov. Dokažemo, da imajo, razen ene neskončne družine ter še končno mnogo izjem, vsi ti grafi razlikovalno število 2"}],"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-XA9F52TI","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-XA9F52TI"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-XA9F52TI/85d95066-e601-42ab-95cf-04c94d1695af/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-XA9F52TI/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-XA9F52TI"}}}}