{"?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-9IIU60A0/da0c8f3b-e931-4ea7-9634-21e5fbaf3bc2/PDF","dcterms:extent":"311 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-9IIU60A0/4a526390-be4a-4bcc-807f-990c2ea8bb94/TEXT","dcterms:extent":"21 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-9IIU60A0","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":"Limonov, Maksim Petrovič","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:11"},{"@xml:lang":"sl","#text":"str. 91-99"}],"dc:identifier":["COBISSID_HOST:17841497","ISSN:1855-3966","URN:URN:NBN:SI:doc-9IIU60A0"],"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":"automorphism group"},{"@xml:lang":"en","#text":"branched covering"},{"@xml:lang":"en","#text":"fundamental group"},{"@xml:lang":"sl","#text":"fundamentalna grupa"},{"@xml:lang":"sl","#text":"graf"},{"@xml:lang":"sl","#text":"graf grupe"},{"@xml:lang":"en","#text":"graph"},{"@xml:lang":"en","#text":"graph of groups"},{"@xml:lang":"sl","#text":"grupa avtomorfizmov"},{"@xml:lang":"en","#text":"harmonic map"},{"@xml:lang":"sl","#text":"harmonična preslikava"},{"@xml:lang":"sl","#text":"hipereliptičen graf"},{"@xml:lang":"en","#text":"hyperelliptic graph"},{"@xml:lang":"sl","#text":"razvejan krov"},{"@xml:lang":"en","#text":"Riemann surface"},{"@xml:lang":"sl","#text":"Riemannova ploskev"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Accola theorem on hyperelliptic graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper, we prove the following theorem: If a graph ?$X$? is a degree 2 (unramified) covering of a hyperelliptic graph of genus ?$g \\geq 2$?, then ?$X$? is ?$\\gamma$?-hyperelliptic for some ?$\\gamma \\leq \\frac{g-1}{2}$?. This is a discrete analogue of the corresponding theorem for Riemann surfaces. The Bass-Serre theory of coverings of graphs of groups is employed to get the main result"},{"@xml:lang":"sl","#text":"V tem članku dokažemo naslednji izrek: Če je graf ?$X$? dvolisten (nerazvejan) krov hipereliptičnega grafa roda ?$g \\geq 2$?, potem je ?$X$? ?$\\gamma$?-hipereliptičen za nek ?$\\gamma \\leq \\frac{g-1}{2}$?. To je diskretna analogija ustreznega izreka za Riemannove ploskve. Glavni rezultat je dobljen s pomočjo Bass-Serrejeve teorije krovov grafov grup"}],"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-9IIU60A0","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-9IIU60A0"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-9IIU60A0/da0c8f3b-e931-4ea7-9634-21e5fbaf3bc2/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-9IIU60A0/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-9IIU60A0"}}}}