{"?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-UPN7VR3K/64df5623-0aaa-482d-9692-4ca215145a6e/PDF","dcterms:extent":"243 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-UPN7VR3K/3c6e44ab-2e58-45ce-abb0-053d085fdacd/TEXT","dcterms:extent":"6 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-UPN7VR3K","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":"Ghorbani, Ebrahim","dc:format":[{"@xml:lang":"sl","#text":"letnik:11"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 391-395"}],"dc:identifier":["COBISSID:17859673","ISSN:1855-3966","URN:URN:NBN:SI:doc-UPN7VR3K"],"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":"Cayley graph"},{"@xml:lang":"sl","#text":"Cayleyjevi grafi"},{"@xml:lang":"sl","#text":"nuciferični grafi"},{"@xml:lang":"en","#text":"nuciferous graph"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Nontrivial nuciferous graphs exist|"},"dc:description":[{"@xml:lang":"sl","#text":"A nuciferous graph is a simple graph with a non-singular ?$0-1$? adjacency matrix ?$A$? such that all the diagonal entries of ?$A^{-1}$? are zero and all the off-diagonal entries of ?$A^{-1}$? are non-zero. Sciriha et al. conjectured that except ?$K_2$?, no nuciferous graph exists. We disprove this conjecture. Moreover, we conjecture that there are infinitely many nuciferous Cayley graphs"},{"@xml:lang":"sl","#text":"Nuciferičen graf je enostaven graf z nesingularno ?$0-1$? matriko sosednosti ?$A$?, takšno da so vsi diagonalni elementi matrike ?$A^{-1}$? enaki nič in vsi izvendiagonalni elementi matrike ?$A^{-1}$? različni od nič. Sciriha in dr. so postavili domnevo, da razen ?$K_2$? ni nobenih drugih nuciferičnih grafov. V članku ovržemo to domnevo. Še več, domnevamo, da obstaja neskončno mnogo nuciferičnih Cayleyjevih grafov"}],"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-UPN7VR3K","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-UPN7VR3K"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-UPN7VR3K/64df5623-0aaa-482d-9692-4ca215145a6e/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-UPN7VR3K/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-UPN7VR3K"}}}}