{"?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-WE6X965H/0c854bdb-eaef-4ffb-a719-fcbf103e49f6/PDF","dcterms:extent":"297 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-WE6X965H/470ceb2b-d844-43e2-975a-a900adaec617/TEXT","dcterms:extent":"30 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-WE6X965H","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2017","dc:creator":["Hudák, Peter","Maceková, Mária","Madaras, Tomáš","Široczki, Pavol"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:13"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 355-366"}],"dc:identifier":["COBISSID:18360153","ISSN:1855-3966","URN:URN:NBN:SI:doc-WE6X965H"],"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":"ožina"},{"@xml:lang":"sl","#text":"ravninski graf"},{"@xml:lang":"sl","#text":"utež dualne povezave"},{"@xml:lang":"sl","#text":"utež povezave"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"More on the structure of plane graphs with prescribed degrees of vertices, faces, edges and dual edges|"},"dc:description":[{"@xml:lang":"sl","#text":"We study the families of plane graphs determined by lower bounds ?$\\delta$?, ?$\\rho$?, ?$w$?, ?$w^\\ast$? on their vertex degrees, face sizes, edge weights and dual edge weights, respectively. Continuing the previous research of such families comprised of polyhedral graphs, we determine the quadruples ?$(2,\\rho,w,w^\\ast)$? for which the associated family is non-empty. In addition, we determine all quadruples which yield extremal families (in the sense that the increase of any value of a quadruple results in an empty family)"},{"@xml:lang":"sl","#text":"Obravnavamo družine ravninskih grafov določenih s spodnjimi mejami ?$\\delta$?, ?$\\rho$?, ?$w$?, ?$w^\\ast$? za njihove vozliščne stopnje, velikosti lic, uteži povezav in uteži dualnih povezav. Nadaljujujoč prejšnjo raziskavo takšnih družin sestavljenih iz poliedrskih grafov določimo četverice ?$(2,\\rho,w,w^\\ast)$? za katere pridružena družina ni prazna. Poleg tega določimo vse četverice, ki imajo ekstremne družine (v tem smislu da s povečanjem katerekoli vrednosti četverice dobimo prazno družino)"}],"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-WE6X965H","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-WE6X965H"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-WE6X965H/0c854bdb-eaef-4ffb-a719-fcbf103e49f6/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-WE6X965H/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-WE6X965H"}}}}