{"?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-WS6FLHPI/5a5b2d82-c600-4482-9d07-9e6c7017b5f2/PDF","dcterms:extent":"309 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-WS6FLHPI/82801352-2c80-4ab1-afaa-a92de6ff4e83/TEXT","dcterms:extent":"23 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-WS6FLHPI","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":["Azarija, Jernej","Klavžar, Sandi","Rho, Yoomi","Sim, Seungbo"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:14"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 387-395"}],"dc:identifier":["COBISSID:18163545","ISSN:1855-3966","URN:URN:NBN:SI:doc-WS6FLHPI"],"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":"celoštevilsko linearno programiranje"},{"@xml:lang":"sl","#text":"celotno dominantno število"},{"@xml:lang":"sl","#text":"Fibonaccijeva kocka"},{"@xml:lang":"sl","#text":"hiperkocka"},{"@xml:lang":"sl","#text":"pokrivne kode"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On domination-type invariants of Fibonacci cubes and hypercubes|"},"dc:description":{"@xml:lang":"sl","#text":"Fibonaccijeva kocka ?$\\Gamma_n$? je podgraf ?$n$?-dimenzionalne kocke ?$Q_n$? induciran z vozlišči, ki ne vsebujejo dveh zaporednih enic. S pomočjo celoštevilskega linearnega programiranja določimo točne vrednosti za ?$\\gamma_t(\\Gamma_n)$?, ?$n\\le 12$?. Kot posledico dokažemo, da za vse ?$n\\ge 11$? velja ?$\\gamma_t(\\Gamma_{n})\\le 2F_{n-10} + 21F_{n-8}$?, kjer so ?$F_n$? Fibonaccijeva števila. Dokazano je tudi, da če je ?$n\\ge 9$?, potem velja ?$\\gamma_t(\\Gamma_{n}) \\ge \\left\\lceil (F_{n+2}-11)/(n-3)\\right\\rceil - 1$?. S pomočjo celoštevilskega linearnega programiranja so določene točne vrednosti za 2-pakirno število, povezano dominantno število, dvojno dominantno število in predznačeno dominantno število majhnih Fibonaccijevih kock in hiperkock. Domneva za celotno dominantno število hiperkock, ki trdi, da za vse ?$n \\geq 6$? velja ?$\\gamma_t(Q_n) = 2^{n-2}$?, je ovržena na več različnih načinov"},"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-WS6FLHPI","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-WS6FLHPI"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-WS6FLHPI/5a5b2d82-c600-4482-9d07-9e6c7017b5f2/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-WS6FLHPI/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-WS6FLHPI"}}}}