{"?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-4M2L1OV3/A5A611E9-0112-4BBE-A872-0F5EA8E58617/PDF","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-4M2L1OV3/43e03bfe-f945-4b6b-af07-8d78a19df058/PDF","dcterms:extent":"270 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-4M2L1OV3/145e8cf3-70a4-4145-b3a2-d19616b548cb/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-4M2L1OV3","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2013","dc:creator":["Debroni, Sean","Delisle, Erin","Deza, Michel","Fowler, Patrick W.","La Vaissiere, Benoit de","Myrvold, Wendy","Sethi, Amit","Whitney, Joseph","Woodcock, Jennifer"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:6"},{"@xml:lang":"sl","#text":"str. 197-210"}],"dc:identifier":["COBISSID:16472409","ISSN:1855-3966","URN:URN:NBN:SI:doc-4M2L1OV3"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"graphs"},{"@xml:lang":"en","#text":"independent sets"},{"@xml:lang":"en","#text":"polyhedra"},{"@xml:lang":"en","#text":"polytopes"},{"@xml:lang":"sl","#text":"teorija grafov"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Maximum independent sets of the 120-cell and other regular polytopes|"},"dc:description":{"@xml:lang":"sl","#text":"A ?$d$?-code in a graph is a set of vertices such that all pairwise distances are at least ?$d$?. As part of a study of ?$d$?-codes of three-and four-dimensional regular polytopes, the maximum independent set order of the 120-cell is calculated. A linear program based on counting arguments leads to an upper bound of 221. An independent set of order 110 in the antipodal collapse of the 120-cell (also known as the hemi-120-cell) gives a lower bound of 220 for the 120-cell itself. The gap is closed by the computation described here, withthe result that the maximum independent set order of the 120-cell is 220. All maximum ?$d$?-code orders of the icosahedron, dodecahedron, 24-cell, 600-cell and 120-cell are reported"},"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-4M2L1OV3","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-4M2L1OV3"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-4M2L1OV3/A5A611E9-0112-4BBE-A872-0F5EA8E58617/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-4M2L1OV3/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-4M2L1OV3"}}}}