{"?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-HG1YFCZO/57db7eed-f56b-450c-a5f7-523b0ed772fe/PDF","dcterms:extent":"377 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-HG1YFCZO/3370a55e-d8b6-432d-8f9a-8ce3f5bc6a95/TEXT","dcterms:extent":"24 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-HG1YFCZO","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":["Feng, Yan-Quan","Kwak, Jin Ho","Wu, Zhen-Lin","Zhou, Jin-Xin"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:12"},{"@xml:lang":"sl","#text":"str. 145-154"}],"dc:identifier":["COBISSID:18096217","ISSN:1855-3966","URN:URN:NBN:SI:doc-HG1YFCZO"],"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":"Cayleyjev graf"},{"@xml:lang":"sl","#text":"grafi"},{"@xml:lang":"sl","#text":"grupa avtomorfizmov"},{"@xml:lang":"sl","#text":"uravnotežena hiperkocka"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Automorphism group of the balanced hypercube|"},"dc:description":[{"@xml:lang":"sl","#text":"Huang and Wu in IEEE Transactions on Computers 46 (1997), pp. 484-490 introduced the balanced hypercube ?$BH_n$? as an interconnection network topology for computing systems. In this paper, we completely determine the full automorphism group of the balanced hypercube. Applying this, we first show that the ?$n$?-dimensional balanced hypercube ?$BH_n$? is arc-transitive but not 2-arc-transitive whenever ?$n \\ge 2$?. Then, we show that ?$BH_n$? is a lexicographic product of an ?$n$?-valent graph ?$X_n$? and the null graph with two vertices, where ?$X_n$? is a ?$\\mathbb{Z}^{n-1}_2$?-regular cover of the ?$n$?-dimensional hypercube ?$Q_n$?"},{"@xml:lang":"sl","#text":"Huang and Wu sta v IEEE Transactions on Computers 46 (1997), pp. 484-490 vpeljala uravnoteženo hiperkocko ?$BH_n$? kot medpovezavno omrežno topologijo za računske sisteme. V tem članku popolnoma določimo polno grupo avtomorfizmov uravnotežene hiperkocke. Z uporabo tega najprej pokažemo, da je ?$n$?-dimenzionalna uravnotežena hiperkocka ?$BH_n$? ločno-tranzitivna, ni pa 2-ločno-tranzitivna, kadar je ?$n \\ge 2$?. Nato pokažemo, da je ?$BH_n$? lekskografski produkt ?$n$?-valentnega grafa ?$X_n$? in ničelnega grafa z dvema vozliščema, kjer je ?$\\mathbb{Z}^{n-1}_2$?-regularen krov ?$n$?-dimensionalne hiperkocke ?$Q_n$?"}],"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-HG1YFCZO","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-HG1YFCZO"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-HG1YFCZO/57db7eed-f56b-450c-a5f7-523b0ed772fe/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-HG1YFCZO/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-HG1YFCZO"}}}}