{"?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-FA41EGJV/7F9988CF-ADC8-49CE-8423-0F804B540301/PDF","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-FA41EGJV/3f92df02-c9a3-493c-b973-97a55ea107dd/PDF","dcterms:extent":"247 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-FA41EGJV/01693d75-6446-40d0-a1f9-952c74900601/TEXT","dcterms:extent":"35 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-FA41EGJV","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2011","dc:creator":["Fijavž, Gašper","Negami, Seiya","Terukazu, Sano"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:4"},{"@xml:lang":"sl","#text":"str. 165-175"}],"dc:identifier":["COBISSID:16089689","ISSN:1855-3966","URN:URN:NBN:SI:doc-FA41EGJV"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"3-connected graphs"},{"@xml:lang":"sl","#text":"3-povezani grafi"},{"@xml:lang":"en","#text":"distinguishing chromatic number"},{"@xml:lang":"en","#text":"distinguishing coloring"},{"@xml:lang":"en","#text":"graph theory"},{"@xml:lang":"en","#text":"planar graphs"},{"@xml:lang":"sl","#text":"ravninski grafi"},{"@xml:lang":"sl","#text":"razlikovalno barvanje"},{"@xml:lang":"sl","#text":"teorija grafov"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"3-Connected planar graphs are 5-distinguishing colorable with two exceptions|"},"dc:description":[{"@xml:lang":"sl","#text":"A graph ?$G$? is said to be? $d$?-distinguishing colorable if there is a ?$d$?-coloring of ?$G$? such that no automorphism of ?$G$? except the identity map preserves colors. We prove that every 3-connected planar graph is 5-distinguishing colorable except ?$K_{2,2,2}$? and ?$C_6 + \\overline{K}_2$? and that every 3-connected bipartite planar graph is 3-distinguishing colorable except ?$Q_3$? and ?$R(Q_3)$?"},{"@xml:lang":"sl","#text":"Graf ?$G$? je razlikovalno ?$d$?-obarvljiv, če dopušča takšno barvanje točk z ?$d$? barvami, da, razen identitete, ne obstaja avtomorfizem grafa ?$G$?, ki bi ohranjal barve točk. V članku pokažemo, da je vsak 3-povezan ravninski graf razen ?$K_{2,2,2}$ in $C_6 + \\overline{K}_2$? razlikovalno 5-obarvljiv. Pokažemo tudi, da je vsak dvodelen 3-povezan ravninski graf razlikovalno 3-obarvljiv, razen grafov ?$Q_3$? in ?$R(Q_3)$?"}],"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-FA41EGJV","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-FA41EGJV"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-FA41EGJV/7F9988CF-ADC8-49CE-8423-0F804B540301/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-FA41EGJV/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-FA41EGJV"}}}}