{"?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-QYR3FM89/b8252bb5-85d3-4929-9bfc-b6bb12c9c520/PDF","dcterms:extent":"460 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-QYR3FM89/bb6959ca-78f2-4867-b9fb-c4e64c650c80/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-QYR3FM89","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2022","dc:creator":["Katz, Eric","Olsen, McCabe"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:22"},{"@xml:lang":"sl","#text":"številka:4"},{"@xml:lang":"sl","#text":"str. 541-559"}],"dc:identifier":["DOI:10.26493/1855-3974.2044.fd1","COBISSID_HOST:141369603","ISSN:1855-3966","URN:URN:NBN:SI:doc-QYR3FM89"],"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":"generalized permutohedron"},{"@xml:lang":"sl","#text":"h-polinom"},{"@xml:lang":"en","#text":"h-polynomial"},{"@xml:lang":"sl","#text":"posplošeni permutoeder"},{"@xml:lang":"sl","#text":"q-analogija"},{"@xml:lang":"en","#text":"q-analogues"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Multivariate polynomials for generalized permutohedra|"},"dc:description":[{"@xml:lang":"sl","#text":"Using the notion of a Mahonian statistic on acyclic posets, we introduce a ?$q$?-analogue of the ?$h$?-polynomial of a simple generalized permutohedron. We focus primarily on the case of nestohedra and on explicit computations for many interesting examples, such as ?$S_n$?-invariant nestohedra, graph associahedra, and Stanley-Pitman polytopes. For the usual (Stasheff) associahedron, our generalization yields an alternative $q$-analogue to the well-studied Narayana numbers"},{"@xml:lang":"sl","#text":"S pomočjo Mahonove statistike na acikličnih delno urejenih množicah vpeljemo ?$q$?-analog ?$h$?-polinoma enostavnega posplošenega permutoedra. Osredotočimo se predvsem na primer gnezdoedra in na eksplicitne izračune za mnoge zanimive primere, kot so npr. ?$S_n$?-invarianten gnezdoeder, grafovski asociaedri in Stanley-Pitmanovi politopi. V primeru navadnega (Stasheffovega) asociaedra z našo posplošitvijo dobimo alternativno $q$-analogijo dobro raziskanih Narayanovih števil"}],"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-QYR3FM89","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-QYR3FM89"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-QYR3FM89/b8252bb5-85d3-4929-9bfc-b6bb12c9c520/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-QYR3FM89/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-QYR3FM89"}}}}