{"?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-SOCE23G9/f4409b06-ec17-4b35-98d0-7720881877e6/PDF","dcterms:extent":"304 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-SOCE23G9/f3bfe3ab-6e9a-43e0-8d87-77ceb5bd21cf/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-SOCE23G9","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":"Došlić, Tomislav","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:17"},{"@xml:lang":"sl","#text":"str. 79-88"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18912857","URN:URN:NBN:SI:doc-SOCE23G9"],"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":"maksimalno pakiranje"},{"@xml:lang":"sl","#text":"maksimalno prirejanje"},{"@xml:lang":"en","#text":"maximal matching"},{"@xml:lang":"en","#text":"maximal packing"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Block allocation of a sequential resource|"},"dc:description":[{"@xml:lang":"sl","#text":"An ?$H$?-packing of ?$G$? is a collection of vertex-disjoint subgraphs of ?$G$? such that each component is isomorphic to ?$H$?. An ?$H$?-packing of ?$G$? is maximal if it cannot be extended to a larger ?$H$?-packing of ?$G$?. In this paper we consider problem of random allocation of a sequential resource into blocks of ?$m$? consecutive units and show how it can be successfully modeled in terms of maximal ?$P_m$?-packings. We enumerate maximal ?$P_m$?-packings of ?$P_n$? of a given cardinality and determine the asymptotic behavior of the enumerating sequences. We also compute the expected size of ?$m$?-packings and provide a lower bound on the efficiency of block-allocation"},{"@xml:lang":"sl","#text":"?$H$-?pakiranje grafa ?$G$? je takšna zbirka vozliščno-disjunktnih podgrafov grafa ?$G$?, da je vsaka njena komponenta izomorfna ?$H$?. ?$H$?-pakiranje grafa ?$G$? je maksimalno, če se ga ne da razširiti na večje ?$H$?-pakiranje grafa ?$G$?. V tem članku obravnavamo problem naključne alokacije blokov ?$m$? zaporednih enot v sekvenčnem viru in pokažemo, kako se ga da uspešno modelirati z maksimalnimi ?$P_m$?-pakiranji. Naštejemo maksimalna ?$P_m$?-pakiranja za ?$P_n$? dane kardinalnosti in določimo asimptotsko vedenje preštevalnih zaporedij. Izračunamo tudi pričakovano velikost ?$m$?-pakiranj in podamo spodnjo mejo za učinkovitost alokacije blokov"}],"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-SOCE23G9","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-SOCE23G9"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-SOCE23G9/f4409b06-ec17-4b35-98d0-7720881877e6/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-SOCE23G9/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-SOCE23G9"}}}}