{"?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-G3YP01PE/b7c17b7d-a9ea-4fb5-b182-188fdf680ce5/PDF","dcterms:extent":"259 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-G3YP01PE/75345e35-ebfa-47c1-9bbb-ded5f832270b/TEXT","dcterms:extent":"20 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-G3YP01PE","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":["Östergard, Patric R. J.","Shao, Zehui","Xu, Xiaodong"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:9"},{"@xml:lang":"sl","#text":"str. 187-195"}],"dc:identifier":["COBISSID:17588825","ISSN:1855-3966","URN:URN:NBN:SI:doc-G3YP01PE"],"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":"dominating set"},{"@xml:lang":"en","#text":"domination number"},{"@xml:lang":"sl","#text":"dominirajoča množica"},{"@xml:lang":"sl","#text":"dominirajoče število"},{"@xml:lang":"en","#text":"Kneser graph"},{"@xml:lang":"sl","#text":"Kneserjev graf"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Bounds on the domination number of Kneser graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"The Kneser graph ?${\\rm KG}_{n,k}$? has one vertex for each ?$k$?-subset of an ?$n$?-set and edges between vertices whenever the corresponding subsets are disjoint. A dominating set in a graph ?$G=(V, E)$? is a subset ?$S \\subseteq V$? such that each vertex in ?$V \\setminus S$? is adjacent to at least one vertex in ?$S$?. The domination number of ?${\\rm KG}_{n,k}$?, denoted by ?$\\gamma(n, k)$?, is the minimum size of a dominating set in that graph. Combinatorial and computer-aided techniques for obtaining bounds on ?$\\gamma(n, k)$? are here considered, and several new bounds are obtained. An updated table of bounds on ?$\\gamma(n, k)$? is presented for ?$n \\le 21$? and ?$k \\le 5$?"},{"@xml:lang":"sl","#text":"Kneserjev graf ?${\\rm KG}_{n,k}$?, k ima po eno vozlišče, prirejeno vsaki ?$k$?-podmnožici ?$n$?-množice; ta vozlišča so povezana natanko takrat, ko so ustrezne podmnožice disjunktne. Dominirajoča množica v grafu ?$G=(V, E)$? je podmnožica ?$S \\subseteq V$? z lastnostjo, da je vsako vozlišče v ?$V \\setminus S$? sosedno najmanj enemu vozlišču iz ?$S$?. Dominacijsko število ?$\\gamma(n, k)$? grafa ?${\\rm KG}_{n,k}$? je velikost najmanjše dominirajoče množice v tem grafu. V tem članku obravnavamo kombinatorične in računalniško podprte tehnike za določanje mej ?$\\gamma(n, k)$?, in z njimi dobimo mnoge nove meje. Predstavimo tudi osveženo tabelo mej ?$\\gamma(n, k)$? za ?$n \\le 21$? in ?$k \\le 5$?"}],"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-G3YP01PE","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-G3YP01PE"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-G3YP01PE/b7c17b7d-a9ea-4fb5-b182-188fdf680ce5/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-G3YP01PE/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-G3YP01PE"}}}}