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- Kuratowski's_theorem abstract "In graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. It states that a finite graph is planar if and only if it does not contain a subgraph that is a subdivision of K5 (the complete graph on five vertices) or of K3,3 (complete bipartite graph on six vertices, three of which connect to each of the other three, also known as the utility graph).".
- Kuratowski's_theorem thumbnail GP92-Kuratowski.svg?width=300.
- Kuratowski's_theorem wikiPageID "54493".
- Kuratowski's_theorem wikiPageRevisionID "592348941".
- Kuratowski's_theorem hasPhotoCollection Kuratowski's_theorem.
- Kuratowski's_theorem subject Category:Planar_graphs.
- Kuratowski's_theorem subject Category:Theorems_in_graph_theory.
- Kuratowski's_theorem comment "In graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. It states that a finite graph is planar if and only if it does not contain a subgraph that is a subdivision of K5 (the complete graph on five vertices) or of K3,3 (complete bipartite graph on six vertices, three of which connect to each of the other three, also known as the utility graph).".
- Kuratowski's_theorem label "Kuratowski's theorem".
- Kuratowski's_theorem label "Satz von Kuratowski".
- Kuratowski's_theorem label "Teorema de Kuratowski".
- Kuratowski's_theorem label "Teorema de Kuratowski".
- Kuratowski's_theorem label "Twierdzenie Kuratowskiego".
- Kuratowski's_theorem sameAs Satz_von_Kuratowski.
- Kuratowski's_theorem sameAs Teorema_de_Kuratowski.
- Kuratowski's_theorem sameAs Twierdzenie_Kuratowskiego.
- Kuratowski's_theorem sameAs Teorema_de_Kuratowski.
- Kuratowski's_theorem sameAs m.0pl03ss.
- Kuratowski's_theorem sameAs Q837902.
- Kuratowski's_theorem sameAs Q837902.
- Kuratowski's_theorem wasDerivedFrom Kuratowski's_theorem?oldid=592348941.
- Kuratowski's_theorem depiction GP92-Kuratowski.svg.
- Kuratowski's_theorem isPrimaryTopicOf Kuratowski's_theorem.
