{"?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-RI0W0V5L/7a2baac4-232f-4de3-8de9-3545ad92a71f/PDF","dcterms:extent":"242 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-RI0W0V5L/7f6c1228-46cb-4b24-8fa5-5aa1bfe3799b/TEXT","dcterms:extent":"15 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-RI0W0V5L","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":["Farrugia, Alexander","Sciriha, Irene"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:11"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 397-402"}],"dc:identifier":["COBISSID:17859929","ISSN:1855-3966","URN:URN:NBN:SI:doc-RI0W0V5L"],"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":"chemical graph"},{"@xml:lang":"sl","#text":"kemični grafi"},{"@xml:lang":"en","#text":"molecular conductivity"},{"@xml:lang":"sl","#text":"molekularna konduktivnost"},{"@xml:lang":"sl","#text":"nesingularni grafi"},{"@xml:lang":"en","#text":"non-singular graph"},{"@xml:lang":"sl","#text":"NSSD"},{"@xml:lang":"sl","#text":"nuciferični grafi"},{"@xml:lang":"en","#text":"nuciferous graph"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"No chemical graph on more than two vertices is nuciferous|"},"dc:description":[{"@xml:lang":"sl","#text":"A simple graph is nuciferous if its ?$0-1$? adjacency matrix is nonsingular and if its inverse has zero entries on its main diagonal and a non-zero entry at each off-diagonal position. A nuciferous graph is a molecular graph that represents an ipso omni-insulating but distinct omni-conducting molecule. It has been conjectured in 2012 that only ?$K_2$?, the complete graph on two vertices, is nuciferous. We show that this conjecture is true for chemical graphs, that is, graphs whose vertex degree is at most three"},{"@xml:lang":"sl","#text":"Enostaven graf je nuciferičen, če je njegova ?$0-1$? matrika sosednosti nesingularna in če ima njena inverzna matrika ničelne elemente na svoji glavni diagonali ter neničeln element na vsaki izvendiagonalni poziciji. Nuciferičen graf je molekularen graf, ki predstavlja ipso omni-insulacijsko toda različno omni-kondukcijsko molekulo. Leta 2012 je bila postavljena domneva, da je samo ?$K_2$?, polni graf na dveh vozliščih, nuciferičen. Pokažemo, da je ta domneva resnična za kemične grafe, to je grafe, katerih stopnja vozlišč je največ tri"}],"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-RI0W0V5L","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-RI0W0V5L"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-RI0W0V5L/7a2baac4-232f-4de3-8de9-3545ad92a71f/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-RI0W0V5L/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-RI0W0V5L"}}}}