{"?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-01M0OWYV/db3d4ffd-a613-4484-9aa2-4b0e7238379d/PDF","dcterms:extent":"322 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-01M0OWYV/8d8b129b-d242-45a9-9d50-3fb0a68ecd95/TEXT","dcterms:extent":"32 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-01M0OWYV","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":["Atanasov, Risto","Petruševski, Mirko","Škrekovski, Riste"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 359-370"}],"dc:identifier":["ISSN:1855-3966","COBISSID:2048381971","URN:URN:NBN:SI:doc-01M0OWYV"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"lihi kromatični indeks"},{"@xml:lang":"sl","#text":"liho barvanje povezav"},{"@xml:lang":"sl","#text":"liho pokritje povezav"},{"@xml:lang":"en","#text":"odd chromatic index"},{"@xml:lang":"en","#text":"odd edge-coloring"},{"@xml:lang":"en","#text":"odd edge-covering"},{"@xml:lang":"en","#text":"subcubic graph"},{"@xml:lang":"sl","#text":"subkubičen graf"},{"@xml:lang":"en","#text":"T-join"},{"@xml:lang":"sl","#text":"T-spoj"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Odd edge-colorability of subcubic graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"An edge-coloring of a graph ?$G$? is said to be odd if for each vertex ?$v$? of ?$G$? and each color ?$c$?, the vertex ?$v$? either uses the color ?$c$? an odd number of times or does not use it at all. The minimum number of colors needed for an odd edge-coloring of ?$G$? is the odd chromatic index ?$\\chi_o^{\\prime}(G)$?. These notions were introduced by L. Pyber L. Pyber, Covering the edges of a graph by . . ., in: Sets, graphs and numbers (Budapest, 1991), North-Holland, Amsterdam, volume 60 of Colloq. Math. Soc. János Bolyai, pp. 583-610, 1992, who showed that 4 colors suffice for an odd edge-coloring of any simple graph. In this paper, we consider loopless subcubic graphs, and give a complete characterization in terms of the value of their odd chromatic index"},{"@xml:lang":"sl","#text":"Barvanje povezav grafa ?$G$? se imenuuje liho, če je za vsako vozlišče v grafa ?$G$? in za vsako barvo ?$c$?, vozlišče v bodisi incidentno liho mnogo povezavam z barvo ?$c$? bodisi nobeni povezavi z barvo ?$c$?. Minimalno število barv, potrebnih za liho barvanje povezav grafa ?$G$? je lihi kromatični indeks ?$\\chi_o^{\\prime}(G)$?. Te pojme je vpeljal Pyber, ki je pokazal, da 4 barve zadoščajo za liho barvanje povezav vsakega enostavnega grafa. V članku, obravnavamo subkubične grafe brez zank, in podamo popolno karakterizacijo v smislu vrednosti njihovega lihega kromatskega indeksa"}],"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-01M0OWYV","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-01M0OWYV"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-01M0OWYV/db3d4ffd-a613-4484-9aa2-4b0e7238379d/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-01M0OWYV/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-01M0OWYV"}}}}