{"?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-ZOBRPAC9/8f4b5320-2c5c-4ad9-b044-eb46e2b68e59/PDF","dcterms:extent":"311 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-ZOBRPAC9/bdd5051b-4634-4e62-b190-cb9110ff370b/TEXT","dcterms:extent":"24 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-ZOBRPAC9","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2021","dc:creator":["Cioaba, Sebastian M.","Guo, Krystal","Haemers, Willem H."],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:20"},{"@xml:lang":"sl","#text":"str. 187-194"}],"dc:identifier":["DOI:10.26493/1855-3974.2435.ec9","ISSN:1855-3966","COBISSID_HOST:91633923","URN:URN:NBN:SI:doc-ZOBRPAC9"],"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":"1-factorization"},{"@xml:lang":"sl","#text":"1-faktorizacija"},{"@xml:lang":"sl","#text":"barvanje povezav"},{"@xml:lang":"en","#text":"chromatic index"},{"@xml:lang":"en","#text":"edge coloring"},{"@xml:lang":"sl","#text":"krepko regularen graf"},{"@xml:lang":"sl","#text":"kromatični indeks"},{"@xml:lang":"en","#text":"strongly regular graph"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The chromatic index of strongly regular graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"We determine (partly by computer search) the chromatic index (edge-chromatic number) of many strongly regular graphs (SRGs), including the SRGs of degree ?$k \\leq 18$? and their complements, the Latin square graphs and their complements, and the triangular graphs and their complements. Moreover, using a recent result of Ferber and Jain, we prove that an SRG of even order ?$n$?, which is not the block graph of a Steiner 2-design or its complement, has chromatic index ?$k$?, when ?$n$? is big enough. Except for the Petersen graph, all investigated connected SRGs of even order have chromatic index equal to ?$k$?, i.e., they are class 1, and we conjecture that this is the case for all connected SRGs of even order"},{"@xml:lang":"sl","#text":"Določimo (deloma s pomočjo računalnika) kromatični indeks (povezavno kromatično število) mnogih krepko regularnih grafov, vključno s krepko regularnimi grafi stopnje ?$k \\leq 18$? in njihovimi komplementi, grafi latinskih kvadratov in njihovimi komplementi ter trikotnimi grafi in njihovimi komplementi. Poleg tega, z uporabo nedavnega rezultata Ferberja in Jaina, dokažemo, da ima krepko regularen graf sodega reda ?$n$?, ki ni bločni graf Steinerjevega 2-načrta ali njegovega komplementa, kromatični indeks ?$k$?, če je ?$n$? dovolj velik. Razen za Petersenov graf imajo vsi raziskani povezani krepko regularni grafi sodega reda kromatični indeks enak ?$k$?, kar pomeni, da sodijo v razred 1; postavimo domnevo, da je to res za vse povezane krepko regularne grafe sodega reda"}],"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-ZOBRPAC9","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-ZOBRPAC9"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-ZOBRPAC9/8f4b5320-2c5c-4ad9-b044-eb46e2b68e59/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-ZOBRPAC9/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-ZOBRPAC9"}}}}