{"?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-VA5HIRMR/f35e75b0-c58c-466f-bc15-841dc1137dbf/PDF","dcterms:extent":"393 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-VA5HIRMR/cab90708-615c-470e-81a0-de61b207970b/TEXT","dcterms:extent":"46 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-VA5HIRMR","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2021","dc:creator":"Chan, Brian Tianyao","dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:21"},{"@xml:lang":"sl","#text":"str. 201-217"}],"dc:identifier":["DOI:10.26493/1855-3974.2260.c0e","COBISSID_HOST:112346371","ISSN:1855-3966","URN:URN:NBN:SI:doc-VA5HIRMR"],"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":"balanced tableaux"},{"@xml:lang":"sl","#text":"granatiranje"},{"@xml:lang":"sl","#text":"Hallov pogoj v zvezi s problemom porok"},{"@xml:lang":"en","#text":"non-CayleyHall’s marriage condition"},{"@xml:lang":"sl","#text":"ravnotežene tablice"},{"@xml:lang":"en","#text":"shelling"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"A generalization of balanced tableaux and marriage problems with unique solutions|"},"dc:description":[{"@xml:lang":"sl","#text":"We consider families of finite sets that we call flagged and that have been characterized by Chang as being the families of sets that admit unique solutions to Hall’s marriage problem and we consider generalizations of Edelman and Greene’s balanced tableaux previously investigated by Viard. In this paper, we introduce a natural generalization of Edelman and Greene’s balanced tableaux that involves families of sets that satisfy Hall’s marriage condition and certain words in ?$m^n$?, then prove that flagged families can be characterized by a strong existence condition relating to this generalization. As a consequence of this characterization, we show that the arithmetic mean of the sizes of subclasses of such generalized tableaux is given by a generalization of the hook-length formula"},{"@xml:lang":"sl","#text":"Obravnavamo družine končnih množic, ki jih imenujemo označene z zastavico; Chang jih je karakteriziral kot družine množic, ki imajo enolične rešitve Hallovega problema porok. Obravnavamo tudi posplošitve Edelmanovih in Greeneovih tablic, ki jih je obravnaval že Viard. V tem članku vpeljemo naravno posplošitev Edelmanovih in Greeneovih uravnoteženih tablic, ki vključuje družine množic, ki zadoščajo Hallovemu pogoju porok in določene besede v ?$m^n$?, nato pa pokažemo, da se da z zastavicami označene družine karakterizirati z močnim eksistenčnim pogojem, ki se nanaša na to posplošitev. Na osnovi te karakterizacije pokažemo, da se da aritmetično sredino velikosti podrazredov teh posplošenih tablic izraziti s posplošitvijo formule za dolžino kljuk"}],"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-VA5HIRMR","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-VA5HIRMR"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-VA5HIRMR/f35e75b0-c58c-466f-bc15-841dc1137dbf/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-VA5HIRMR/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-VA5HIRMR"}}}}