{"?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-YZFVJW1K/f054ea52-12c3-4b72-bf43-3f9db3e472c2/PDF","dcterms:extent":"433 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-YZFVJW1K/3e4e7996-9968-47b3-921f-6f704a93f223/TEXT","dcterms:extent":"31 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-YZFVJW1K","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":["Yang, Yan","Zha, Xiaoya"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:22"},{"@xml:lang":"sl","#text":"številka:3"},{"@xml:lang":"sl","#text":"P3.09 (13 str.)"}],"dc:identifier":["DOI:10.26493/1855-3974.2603.376","COBISSID_HOST:118304515","ISSN:1855-3966","URN:URN:NBN:SI:doc-YZFVJW1K"],"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":"Euler-genus polynomial"},{"@xml:lang":"en","#text":"orientable genus polynomial"},{"@xml:lang":"sl","#text":"parcialni dual"},{"@xml:lang":"en","#text":"partial dual"},{"@xml:lang":"sl","#text":"polinom Eulerjevega rodu"},{"@xml:lang":"sl","#text":"polinom orientabilnega rodu"},{"@xml:lang":"en","#text":"ribbon graph"},{"@xml:lang":"sl","#text":"trakovni graf"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Partial-dual Euler-genus distributions for bouquets with small Euler genus|"},"dc:description":[{"@xml:lang":"sl","#text":"For an arbitrary ribbon graph ?$G$?, the partial-dual Euler-genus polynomial of ?$G$? is a generating function that enumerates partial duals of ?$G$? by Euler genus. When ?$G$? is an orientable ribbon graph, the partial-dual orientable genus polynomial of ?$G$? is a generating function that enumerates partial duals of ?$G$? by orientable genus. J. L. Gross et al. Eur. J. Comb. 86, Article ID 103084, 20 p. (2020) inaugurated these partial-dual Euler-genus and orientable genus distribution problems in 2020. A bouquet is a one-vertex ribbon graph. Given a ribbon graph ?$G$?, its partial-dual Euler-genus polynomial is the same as that of some bouquet; this motivates our focus on bouquets. We obtain the partial-dual Euler-genus polynomials for all the bouquets with Euler genus at most two"},{"@xml:lang":"sl","#text":"Če je ?$G$? poljuben trakovni graf, potem je parcialno dualni polinom Eulerjevega rodu grafa ?$G$? rodovna funkcija, ki enumerira parcialne duale grafa ?$G$? s pomočjo Eulerjevega roda. V primeru, ko je ?$G$? orientabilen trakovni graf, je parcialno dualni polinom orientabilnega rodu grafa ?$G$? rodovna funkcija, ki enumerira parcialne duale grafa ?$G$? s pomočjo orientabilnega rodu. Gross, Mansour in Tucker so vpeljali distribucijske probleme v zvezi s parcialno dualnim Eulerjevim rodom in orientabilnim rodom leta 2020. Šopek je enotočkovni trakovni graf. Če je dan trakovni graf ?$G$?, je njegov polinom parcialno dualnega Eulerjevega rodu enak ustreznemu polinomu nekega šopka; prav to je spodbudilo naše nadaljnje preučevanje šopkov. V članku določimo polinome parcialno dualnega Eulerjevega rodu za vse šopke, katerih Eulerjev rod je največ dva"}],"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-YZFVJW1K","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-YZFVJW1K"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-YZFVJW1K/f054ea52-12c3-4b72-bf43-3f9db3e472c2/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-YZFVJW1K/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-YZFVJW1K"}}}}