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Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/De_Bruijn–Erdős_theorem_(graph_theory)> ?p ?o }

• De_Bruijn–Erdős_theorem_(graph_theory) abstract "In graph theory, the De Bruijn–Erdős theorem, proved by Nicolaas Govert de Bruijn and Paul Erdős (1951), states that, for every infinite graph G and finite integer k, G can be colored by k colors (with no two adjacent vertices having the same color) if and only if all of its finite subgraphs can be colored by k colors. That is, every k-critical graph (a graph that requires k colors but for which all subgraphs require fewer colors) must have a finite number of vertices.The De Bruijn–Erdős theorem has several different proofs, all depending in some way on the axiom of choice. Its applications include extending the four-color theorem and Dilworth's theorem from finite graphs and partial orders to infinite ones, and reducing the Hadwiger–Nelson problem on the chromatic number of the plane to a problem about finite graphs. It may be generalized from finite numbers of colors to sets of colors whose cardinality is a strongly compact cardinal.".
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• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageExternalLink 1951-01.pdf.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageExternalLink 1968-04.pdf.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageExternalLink offp50.pdf.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageExternalLink p337.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageExternalLink 1966-07.pdf.
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• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLink Category:Graph_coloring.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLink Category:Infinite_graphs.
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• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLink Tychonoffs_theorem.
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• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLink Unit_distance_graph.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLink Zorns_lemma.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLinkText "De Bruijn–Erdős theorem (graph theory)".
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLinkText "De Bruijn–Erdős theorem".
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLinkText "de Bruijn–Erdős theorem (graph theory)".
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLinkText "de Bruijn–Erdős theorem".
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageWikiLinkText "graph theory".
• De_Bruijn–Erdős_theorem_(graph_theory) author1Link "Nicolaas Govert de Bruijn".
• De_Bruijn–Erdős_theorem_(graph_theory) author2Link "Paul Erdős".
• De_Bruijn–Erdős_theorem_(graph_theory) first "Nicolaas Govert".
• De_Bruijn–Erdős_theorem_(graph_theory) first "Paul".
• De_Bruijn–Erdős_theorem_(graph_theory) hasPhotoCollection De_Bruijn–Erdős_theorem_(graph_theory).
• De_Bruijn–Erdős_theorem_(graph_theory) last "Erdős".
• De_Bruijn–Erdős_theorem_(graph_theory) last "de Bruijn".
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageUsesTemplate Template:About.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageUsesTemplate Template:Citation.
• De_Bruijn–Erdős_theorem_(graph_theory) wikiPageUsesTemplate Template:Harvs.

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