{"?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-F3L829ZO/166f67d1-5819-40ab-b0d8-ec39d72b48b1/PDF","dcterms:extent":"384 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-F3L829ZO/91347471-d1a2-41ad-ae5a-9f16d878841f/TEXT","dcterms:extent":"31 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-F3L829ZO","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2017","dc:creator":["Chen, Hanlin","Deng, Hanyuan","Huang, Guihua","Wu, Renfang"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:12"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 247-260"}],"dc:identifier":["COBISSID:18164313","ISSN:1855-3966","URN:URN:NBN:SI:doc-F3L829ZO"],"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":"asimptotsko preštevanje"},{"@xml:lang":"sl","#text":"graf Sierpińskega"},{"@xml:lang":"sl","#text":"grafi Hanojskih stolpov"},{"@xml:lang":"sl","#text":"konstanta asimptotske rasti"},{"@xml:lang":"sl","#text":"neodvisne množice"},{"@xml:lang":"sl","#text":"rekurzivna zveza"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Independent sets on the Towers of Hanoi graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"The number of independent sets is equivalent to the partition function of the hard-core lattice gas model with nearest-neighbor exclusion and unit activity. In this article, we mainly study the number of independent sets ?$i(H_n)$? on the Tower of Hanoi graph ?$H_n$? at stage ?$n$?, and derive the recursion relations for the numbers of independent sets. Upper and lower bounds for the asymptotic growth constant ?$\\mu$? on the Towers of Hanoi graphs are derived in terms of the numbers at a certain stage, where ?$\\mu = \\lim_{v \\to \\infty} \\frac{\\ln i(G)}{v(G)}$? and ?$v(G)$? is the number of vertices in a graph ?$G$?. Furthermore, we also consider the number of independent sets on the Sierpiński graphs which contain the Towers of Hanoi graphs as a special case"},{"@xml:lang":"sl","#text":"Število neodvisnih množic je ekvivalentno particijski funkciji trdne jedrne mreže plinskega modela z izključitvijo najbližjega soseda in enotsko aktivnostjo. V tem članku v glavnem študiramo število neodvisnih množic ?$i(H_n)$? grafa Hanojskih stolpov ?$H_n$? stopnje ?$n$? in izpeljemo rekurzivne zveze za število neodvisnih množic. Izpeljemo zgornje in spodnje meje za konstanto ?$\\mu$? asimptotske rasti na grafih Hanojskih stolpov, izražene s števili na določeni stopnji, kjer je ?$\\mu = \\lim_{v \\to \\infty} \\frac{\\ln i(G)}{v(G)}$? in je ?$v(G)$? število vozlišč v grafu ?$G$?. Obravnavamo tudi število neodvisnih množic na grafih Sierpińskega, ki vsebujejo grafe Hanojskih stolpov kot poseben primer"}],"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-F3L829ZO","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-F3L829ZO"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-F3L829ZO/166f67d1-5819-40ab-b0d8-ec39d72b48b1/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-F3L829ZO/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-F3L829ZO"}}}}