{"?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-P0XUUJ4V/e592b1ba-d184-44cf-88f4-269ff87058fb/PDF","dcterms:extent":"333 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-P0XUUJ4V/b336b96e-4a25-4bc4-ad22-6338306aab7d/TEXT","dcterms:extent":"34 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-P0XUUJ4V","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2018","dc:creator":["Alishahi, Meysam","Taherkhani, Ali"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:15"},{"@xml:lang":"sl","#text":"str. 161-172"}],"dc:identifier":["COBISSID:18485849","ISSN:1855-3966","URN:URN:NBN:SI:doc-P0XUUJ4V"],"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":"Kneserjev graf"},{"@xml:lang":"sl","#text":"kromatsko število (barvitost)"},{"@xml:lang":"sl","#text":"krožno kromatsko število"},{"@xml:lang":"sl","#text":"stabilen Kneserjev graf"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Circular chromatic number of induced subgraphs of Kneser graphs|"},"dc:description":{"@xml:lang":"sl","#text":"Študij enakosti kromatskega števila (barvitosti) in krožnega kromatskega števila grafov je v zadnjih desetletjih predstavljal aktiven tok raziskovanja. Tako sta Hajiabolhassan in Zhu leta 2003 dokazala, da če je ?$n$? dovolj velik glede na ?$k$?, potem ima Schrijverjev graf ?${\\rm SG}(n,k)$? isto kromatsko in krožno kromatsko število. Kasneje so Meunier leta 2005 in neodvisno Simonyi in Tardos leta 2006 dokazali, da je ?$\\xi({\\rm SG}(n,k))=\\xi_c({\\rm SG}(n,k))$?, če je ?$n$? sod. V tem članku študiramo krožno kromatsko število induciranih podgrafov Kneserjevih grafov. Najprej posplošimo predhodne rezultate na ?$s$?-stabilne Kneserjeve grafe za velike sode ?$n$? in sode ?$s$?. Nadalje, kot posplošitev rezultata Hajiabolhassana in Zhuja pokažemo, da če je ?$n$? dovolj velik glede na ?$k$?, potem ima poljuben dovolj velik inducirani podgraf Kneserjevega grafa ?${\\rm KG}(n,k)$? isto kromatsko število in krožno kromatsko število"},"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-P0XUUJ4V","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-P0XUUJ4V"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-P0XUUJ4V/e592b1ba-d184-44cf-88f4-269ff87058fb/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-P0XUUJ4V/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-P0XUUJ4V"}}}}