{"?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-762B5BEN/b4d79c0f-ee7e-4589-8a6b-172404dc1369/PDF","dcterms:extent":"391 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-762B5BEN/8f7f41bc-629a-4610-a67b-c2e8bdda5f0e/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-762B5BEN","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":["Estaji, Ehsan","Rodríguez-Velázquez, Juan Alberto"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:12"},{"@xml:lang":"sl","#text":"str. 127-134"}],"dc:identifier":["COBISSID:18095705","ISSN:1855-3966","URN:URN:NBN:SI:doc-762B5BEN"],"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":"grafi"},{"@xml:lang":"sl","#text":"grafi Sierpińskega"},{"@xml:lang":"sl","#text":"krepka metrična dimenzija"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The strong metric dimension of generalized Sierpiński graphs with pendant vertices|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$G$? be a connected graph of order ?$n$? having ?$\\varepsilon(G)$? end-vertices. Given a positive integer ?$t$?, we denote by ?$S(G, t)$? the ?$t$?-th generalized Sierpiński graph of ?$G$?. In this note we show that if every internal vertex of ?$G$? is a cut vertex, then the strong metric dimension of ?$S(G, t)$? is given by ?$$\\dim_s(S(G, t)) = \\frac{\\varepsilon(G) (n^t - 2n^{t-1} +1) - n + 1}{n-1}. $$?"},{"@xml:lang":"sl","#text":"Naj bo ?$G$? povezan graf reda ?$n$? z ?$\\varepsilon(G)$? končnimi vozlišči. Za dano pozitivno celo število ?$t$? naj ?$S(G, t)$? označuje ?$t$?-ti posplošeni graf Sierpińskega grafa ?$G$?. Tukaj pokažemo, da če je vsako notranje vozlišče grafa ?$G$? prerezno vozlišče, potem je krepka metrična dimenzija posplošenega grafa ?$S(G, t)$? dana z ?$$\\dim_s(S(G, t)) = \\frac{\\varepsilon(G) (n^t - 2n^{t-1} +1) - n + 1}{n-1}. $$?"}],"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-762B5BEN","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-762B5BEN"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-762B5BEN/b4d79c0f-ee7e-4589-8a6b-172404dc1369/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-762B5BEN/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-762B5BEN"}}}}