{"?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-9Y1AWR1R/b2060ab4-4ff1-4b18-b88d-947cd95d916e/PDF","dcterms:extent":"351 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-9Y1AWR1R/9ac61d92-15de-4701-84f8-6c3e681ff120/TEXT","dcterms:extent":"9 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-9Y1AWR1R","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":["Guo, Xia","Yang, Yan"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"str. 19-24"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18699353","URN:URN:NBN:SI:doc-9Y1AWR1R"],"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":"4-girth-thickness"},{"@xml:lang":"sl","#text":"4-ožinska debelina"},{"@xml:lang":"en","#text":"complete tripartite graph"},{"@xml:lang":"sl","#text":"debelina"},{"@xml:lang":"sl","#text":"polni tridelni graf"},{"@xml:lang":"en","#text":"thickness"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"A note on the 4-girth-thickness of Ksub{n,n,n}|"},"dc:description":[{"@xml:lang":"sl","#text":"The 4-girth-thickness ?$\\theta(4, G)$? of a graph ?$G$? is the minimum number of planar subgraphs of girth at least four whose union is ?$G$?. In this paper, we obtain that the 4-girth-thickness of complete tripartite graph ?$K_{n, n, n}$? is ?$\\lceil\\frac{n + 1}{2}\\rceil$? except for ?$\\theta(4, K_{1, 1, 1}) = 2$?. And we also show that the 4-girth-thickness of the complete graph ?$K_{10}$? is three which disprove the conjecture posed by C. Rubio-Montiel Ars Math. Contemp. 14, No. 2, 319--327 (2018) concerning to ?$\\theta(4, K_{10})$?"},{"@xml:lang":"sl","#text":"4-ožinska-debelina ?$\\theta(4, G)$? grafa ?$G$? je minimalno število ravninskih podgrafov ožine najmanj štiri, katerih unija je ?$G$?. V članku pokažemo, da je 4-ožinska-debelina polnega tridelnega grafa ?$K_{n, n, n}$? enaka ?$\\lceil\\frac{n + 1}{2}\\rceil$? razen za ?$\\theta(4, K_{1, 1, 1}) = 2$?. Pokažemo tudi, da je 4-ožinska-debelina polnega grafa ?$K_{10}$? enaka tri, kar ovrže domnevo, ki jo je postavil Rubio-Montiel Ars Math. Contemp. 14, No. 2, 319--327 (2018) v zvezi z ?$\\theta(4, K_{10})$?"}],"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-9Y1AWR1R","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-9Y1AWR1R"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-9Y1AWR1R/b2060ab4-4ff1-4b18-b88d-947cd95d916e/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-9Y1AWR1R/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-9Y1AWR1R"}}}}