{"?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-ZC58691H/51ca12a3-04ef-462e-9b46-717857452e48/PDF","dcterms:extent":"348 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZC58691H/497adbea-2e98-47bc-a2c7-e376f647c60d/TEXT","dcterms:extent":"34 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-ZC58691H","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2016","dc:creator":["Behmaram, Afshin","Došlić, Tomislav","Friedland, Shmuel"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:11"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 301-313"}],"dc:identifier":["COBISSID:17858137","ISSN:1855-3966","URN:URN:NBN:SI:doc-ZC58691H"],"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":"fulerenski graf"},{"@xml:lang":"en","#text":"fullerene graph"},{"@xml:lang":"en","#text":"Hadamard-Fischer inequality"},{"@xml:lang":"sl","#text":"Hadamard-Fischerjeva neenakost"},{"@xml:lang":"en","#text":"perfect matching"},{"@xml:lang":"en","#text":"Pfaffian graph"},{"@xml:lang":"sl","#text":"Pfaffov graph"},{"@xml:lang":"sl","#text":"popolno prirejanje"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Matchings in m-generalized fullerene graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"A connected planar graph is called ?$m$?-generalized fullerene if two of its faces are ?$m$?-gons and all other faces are pentagons and hexagons. In this paper we first determine some structural properties of ?$m$?-generalized fullerenes and then use them to obtain new results on the enumerative aspects of perfect matchings in such graphs. We provide both upper and lower bounds on the number of perfect matchings in ?$m$?-generalized fullerene graphs and state exact results in some special cases"},{"@xml:lang":"sl","#text":"Povezan ravninski graf se imenuje ?$m$?-posplošeni fuleren, če sta dve njegovi lici ?$m$?-kotnika, vsa druga lica pa so petkotniki in šestkotniki. V tem članku najprej določimo nekaj strukturnih lastnosti ?$m$?-posplošenih fulerenov, nato pa jih uporabimo za to, da dobimo nove rezultate v zvezi s preštevanjem popolnih prirejanj v takšnih grafih. Najdemo zgornjo in spodnjo mejo števila popolnih prirejanj v ?$m$?-posplošenih fulerenskih grafih in navedemo natančne razultate v nekaterih posebnih primerih"}],"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-ZC58691H","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-ZC58691H"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZC58691H/51ca12a3-04ef-462e-9b46-717857452e48/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-ZC58691H/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-ZC58691H"}}}}