{"?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-T8VVMSN3/f28eaaa8-2734-4d4c-b863-a2fe938b99b9/PDF","dcterms:extent":"491 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-T8VVMSN3/db5bb118-ba3b-46c1-910e-7e7092af67ae/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-T8VVMSN3","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2015","dc:creator":["Jaklič, Gašper","Modic, Jolanda"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:9"},{"@xml:lang":"sl","#text":"str. 151-163"}],"dc:identifier":["COBISSID:17219417","ISSN:1855-3966","URN:URN:NBN:SI:doc-T8VVMSN3"],"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":"distance"},{"@xml:lang":"en","#text":"eigenvalue"},{"@xml:lang":"en","#text":"Euclidean distance matrix"},{"@xml:lang":"sl","#text":"evklidsko razdaljna matrika"},{"@xml:lang":"sl","#text":"graf"},{"@xml:lang":"en","#text":"graph"},{"@xml:lang":"en","#text":"graph theory"},{"@xml:lang":"sl","#text":"lastna vrednost"},{"@xml:lang":"sl","#text":"razdalja"},{"@xml:lang":"sl","#text":"teorija grafov"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On minimal forbidden subgraphs for the class of EDM-graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper, a relation between graph distance matrices and Euclidean distance matrices (EDM) is considered. Graphs, for which the distance matrix is not an EDM (NEDM-graphs), are studied. All simple connected non-isomorphic graphs on ?$n \\le 8$? nodes are analysed and a characterization of the smallest NEDM-graphs, i.e., the minimal forbidden subgraphs, is given. It is proven that bipartite graphs and some subdivisions of the smallest NEDM-graphs are NEDM-graphs, too"},{"@xml:lang":"sl","#text":"V članku je obravnavana povezava med grafovsko razdaljnimi in evklidsko razdaljnimi matrikami (EDM). Obravnavani so grafi, katerih grafovsko razdaljne matrike niso EDM (NEDM-grafi). Analizirani so vsi enostavni povezani neizomorfni grafi z največ 8 vozlišči, podana pa je tudi karakterizacija najmanjših NEDM-grafov. Pokazano je, da so dvodelni grafi in nekatere subdivizije najmanjših NEDM grafov prav tako NEDM-grafi"}],"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-T8VVMSN3","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-T8VVMSN3"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-T8VVMSN3/f28eaaa8-2734-4d4c-b863-a2fe938b99b9/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-T8VVMSN3/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-T8VVMSN3"}}}}