{"?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-POKQJ97E/AB3D02F8-A9F9-4EC2-9C8A-5AB894014C6B/PDF","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-POKQJ97E/2cc8ff1a-cdf2-4301-906e-732a58545a60/PDF","dcterms:extent":"562 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-POKQJ97E/cd1fa116-d7d5-4472-a6b1-92f7cf887ef8/TEXT","dcterms:extent":"53 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-POKQJ97E","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2011","dc:creator":["Albertson, Michael O.","Boutin, Debra L.","Gethner, Ellen"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:4"},{"@xml:lang":"sl","#text":"str. 5-24"}],"dc:identifier":["COBISSID:16260697","ISSN:1855-3966","URN:URN:NBN:SI:doc-POKQJ97E"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"?$r$?-inflation"},{"@xml:lang":"en","#text":"arboricity"},{"@xml:lang":"sl","#text":"barvanje"},{"@xml:lang":"en","#text":"chromatic number"},{"@xml:lang":"en","#text":"fractional chromatic number"},{"@xml:lang":"en","#text":"graph theory"},{"@xml:lang":"sl","#text":"kromatično število"},{"@xml:lang":"sl","#text":"teorija grafov"},{"@xml:lang":"en","#text":"thickness"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"More results on r-inflated graphs: arboricity, thickness, chromatic number and fractional chromatic number|"},"dc:description":{"@xml:lang":"sl","#text":"The ?$r$?-inflation of a graph ?$G$? is the lexicographic product ?$G$? with ?$K_r$?. A graph is said to have thickness ?$t$? if its edges can be partitioned into ?$t$? sets, each of which induces a planar graph, and ?$t$? is smallest possible. In the setting of the ?$r$?-inflation of planar graphs, we investigate the generalization of Ringel's famous Earth-Moon problem: What is the largest chromatic number of any thickness-t graph? In particular, we study classes of planar graphs for which we can determine both the thickness and chromatic number of their 2-inflations, and provide bounds on these parameters for their ?$r$?-inflations. Moreover, in the same setting, we investigate arboricity and fractional chromatic number as well. We end with a list of open questions"},"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-POKQJ97E","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-POKQJ97E"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-POKQJ97E/AB3D02F8-A9F9-4EC2-9C8A-5AB894014C6B/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-POKQJ97E/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-POKQJ97E"}}}}