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Kuriatowski's theorem says that

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Kuriatowski's theorem says that

It has a 2-circulant subgraph

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It has K₅ as a minor

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r = e - v + 2

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It is isomorphic to either K_3,3 or K₅

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It is isomorphic to Euler's graph

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A graph is non-planar iff It has a subgraph homeomorphic to K_3,3 or to K₅

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It is isomorphic to Peterson's graph

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