{"?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-AWOS2M7H/dce78ab0-b751-484e-81cf-baeb5d47d3e0/PDF","dcterms:extent":"398 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-AWOS2M7H/1fbf1148-92a6-432d-af7d-cef6724dd41d/TEXT","dcterms:extent":"39 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-AWOS2M7H","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":["Hibi, Takayuki","Li, Nan","Li, Teresa Xueshan","Mu, Lili","Tsuchiya, Akiyoshi"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 299-317"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18752601","URN:URN:NBN:SI:doc-AWOS2M7H"],"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":"delno urejena množica"},{"@xml:lang":"en","#text":"order-chain polytope"},{"@xml:lang":"en","#text":"poset"},{"@xml:lang":"en","#text":"unimodular equivalence"},{"@xml:lang":"sl","#text":"unimodularna ekvivalenca"},{"@xml:lang":"sl","#text":"urejenostno-verižni politop"},{"@xml:lang":"en","#text":"volume"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Order-chain polytopes|"},"dc:description":[{"@xml:lang":"sl","#text":"Given two families ?$X$? and ?$Y$? of integral polytopes with nice combinatorial and algebraic properties, a natural way to generate a new class of polytopes is to take the intersection ?$\\mathcal P = \\mathcal P_1 \\cap \\mathcal P_2$?, where ?$\\mathcal P_1 \\in X,\\ \\mathcal P_2 \\in Y$?. Two basic questions then arise: 1) when ?$\\mathcal P$? is integral and 2) whether ?$\\mathcal P$? inherits the \"old type\" from ?$\\mathcal P_1,\\ \\mathcal P_2$? or has a \"new type\", that is, whether ?$\\mathcal P$? is unimodularly equivalent to a polytope in ?$X \\cup Y$? or not. In this paper, we focus on the families of order polytopes and chain polytopes. Following the above framework, we create a new class of polytopes which are named order-chain polytopes. When studying their volumes, we discover a natural relation with Ehrenborg and Mahajan's results on maximizing descent statistics"},{"@xml:lang":"sl","#text":"Če sta dani dve družini ?$X$? in ?$Y$? celoštevilskih politopov z lepimi kombinatoricnimi in algebrajskimi lastnostmi, je en način za generiranje novega razreda politopov ta, da tvorimo presek ?$\\mathcal P = \\mathcal P_1 \\cap \\mathcal P_2$?, kjer je ?$\\mathcal P_1 \\in X,\\ \\mathcal P_2 \\in Y$?. Tedaj se pojavita dve vprašanji: 1) kdaj je ?$\\mathcal P$? celoštevilski in 2) ali ?$\\mathcal P$? podeduje \"stari tip\" od ?$\\mathcal P_1,\\ \\mathcal P_2$? ali pa ima \"nov tip\", tj. ali je ?$\\mathcal P$? unimodularno ekvivalenten politopu v ?$X \\cup Y$? ali ne. V tem članku se osredotočimo na družini urejenostnih politopov in verižnih politopov. Sledeč zgornjemu okvirju, ustvarimo nov razred politopov, urejenostno-verižne politope. Ko študiramo njihove prostornine, odkrijemo naravno zvezo z Ehrenborgovimi in Mahajanovimi rezultati v zvezi z maksimiziranjem statistike spusta"}],"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-AWOS2M7H","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-AWOS2M7H"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-AWOS2M7H/dce78ab0-b751-484e-81cf-baeb5d47d3e0/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-AWOS2M7H/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-AWOS2M7H"}}}}