{"?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-B05X77KZ/b78fb87d-855b-4b1a-9749-89ab193ba5a0/PDF","dcterms:extent":"272 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-B05X77KZ/33b356ef-b28f-472f-ae8a-b9ff8cf92efd/TEXT","dcterms:extent":"18 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-B05X77KZ","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2016","dc:creator":"Raggi, Miguel","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"str. 1-8"}],"dc:identifier":["COBISSID:17732185","ISSN:1855-3966","URN:URN:NBN:SI:doc-B05X77KZ"],"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":"Anstee-Sali conjecture"},{"@xml:lang":"sl","#text":"Anstee-Sali domneva"},{"@xml:lang":"en","#text":"forbidden configuration"},{"@xml:lang":"sl","#text":"hipergraf"},{"@xml:lang":"en","#text":"hypergraph"},{"@xml:lang":"en","#text":"NP-complete"},{"@xml:lang":"en","#text":"NP-hard"},{"@xml:lang":"sl","#text":"NP-poln"},{"@xml:lang":"sl","#text":"NP-težek"},{"@xml:lang":"sl","#text":"prepovedana konfiguracija"},{"@xml:lang":"sl","#text":"sled"},{"@xml:lang":"en","#text":"trace"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Forbidden configurations| finding the number predicted by the Anstee-Sali conjecture is NP-hard|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$F$? be a (possibly non-simple) hypergraph and let ?$\\text{forb}(m, F)$? denote the maximum number of edges a simple hypergraph with ?$m$? vertices can have if it doesn't contain ?$F$? as a subhypergraph. A conjecture of Anstee and Sali predicts the asymptotic behaviour of ?$\\text{forb}(m, F)$? for fixed ?$F$?. In this paper we prove that even finding this predicted asymptotic behaviour is an NP-hard problem, meaning that if the Anstee-Sali conjecture were true, finding the asymptotics of ?$\\text{forb}(m, F)$? would be NP-hard"},{"@xml:lang":"sl","#text":"Naj bo ?$F$? (ne nujno enostaven) hipergraf in naj ?$\\text{forb}(m, F)$? označuje maksimalno število neusmerjenih povezav, ki jih lahko ima enostaven hipergraf z ?$m$? vozlišči, če ne vsebuje ?$F$? kot podhipergraf. Domneva, ki sta jo postavila Anstee in Sali, napoveduje asimptotsko vedenje ?$\\text{forb}(m, F)$? za fiksen ?$F$?. V tem članku dokažemo, da je celo iskanje tega napovedanega asimptotskega vedenja NP-težek problem. To pomeni: če je Anstee-Sali domneva resnična, potem je iskanje asimptotočnega vedenja ?$\\text{forb}(m, F)$? NP-težko"}],"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-B05X77KZ","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-B05X77KZ"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-B05X77KZ/b78fb87d-855b-4b1a-9749-89ab193ba5a0/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-B05X77KZ/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-B05X77KZ"}}}}