{"?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-Z5ZBX6T4/77577772-5442-443a-a07e-341398bbde66/PDF","dcterms:extent":"316 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-Z5ZBX6T4/66af2eaa-1072-4749-9711-1c164d5dc45c/TEXT","dcterms:extent":"38 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-Z5ZBX6T4","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2015","dc:creator":["Erveš, Rija","Žerovnik, Janez"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:8"},{"@xml:lang":"sl","#text":"str. 245-258"}],"dc:identifier":["COBISSID:18419478","ISSN:1855-3966","URN:URN:NBN:SI:doc-Z5ZBX6T4"],"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":"cartesian graph bundle"},{"@xml:lang":"en","#text":"fault tolerance"},{"@xml:lang":"en","#text":"interconnection network"},{"@xml:lang":"sl","#text":"kartezični grafovski sveženj"},{"@xml:lang":"sl","#text":"mešani okvarni premer"},{"@xml:lang":"en","#text":"mixed fault diameter"},{"@xml:lang":"sl","#text":"okvarna toleranca"},{"@xml:lang":"sl","#text":"omrežja"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Mixed fault diameter of Cartesian graph bundles II|"},"dc:description":[{"@xml:lang":"sl","#text":"The mixed fault diameter ?$D_{(p, q)}(G)$? is the maximum diameter among all subgraphs obtained from graph ?$G$? by deleting ?$p$? vertices and ?$q$? edges. A graph is ?$(p, q)+$?connected if it remains connected after removal of any ?$p$? vertices and any ?$q$? edges. Let ?$F$? be a connected graph with the diameter?$D(F) > 1$?, and ?$B$ be $(p, q)+$?connected graph. Upper bounds for the mixed fault diameter of Cartesian graph bundle ?$G$? with fibre ?$F$? over the base graph ?$B$? are given. We prove that if ?$q > 0$?, then ?$D_{(p + 1, q)}(G) \\le D(F) + D_{(p, q)}(B)$?, and if ?$q = 0$? and ?$p > 0$?, then ?$D_{(p + 1, 0)}(G) \\le D(F) + \\max \\{D_{(p, 0)}(B), D_{(p - 1, 1)}(B)\\}$?"},{"@xml:lang":"sl","#text":"Mešani napačni premer ?$D_{(p, q)}(G)$? je maksimalni premer vseh podgrafov, ki jih dobimo iz grafa ?$G$? z izbrisom ?$p$? vozlišč in ?$q$? povezav. Graf je ?$(p, q)+$?povezan, če ostaja povezan po izbrisu katerihkoli ?$p$? vozlišč in katerihkoli ?$q$? povezav. Naj bo ?$F$? povezan graf s premerom ?$D(F) > 1$?, in naj bo ?$B$? be ?$(p, q)+$?povezan graf. Tedaj lahko dobimo zgornje meje za mešani lažni premer kartezičnega grafovskega svežnja ?$G$? z vlaknom ?$F$? nad baznim grafom ?$B$?. Dokažemo, da če je ?$q > 0$?, potem je ?$D_{(p + 1, q)}(G) \\le D(F) + D_{(p, q)}(B)$?, in če je ?$q = 0$? in ?$p > 0$?, potem je ?$D_{(p + 1, 0)}(G) \\le D(F) + \\max \\{D_{(p, 0)}(B), D_{(p - 1, 1)}(B)\\}$?"}],"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-Z5ZBX6T4","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-Z5ZBX6T4"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-Z5ZBX6T4/77577772-5442-443a-a07e-341398bbde66/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-Z5ZBX6T4/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-Z5ZBX6T4"}}}}