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A planar graph is one that can be drawn in a plane without any edges crossing. The surprising fact behind Kuratowski’s Theorem (and Wagner’s Theorem) is that all non-planar graphs “contain” K5 or K3,3! 😲 Kuratowski’s Theorem: A finite graph is planar if and only if it does not contain a subgraph that is a subdivision of K5 or K3,3 ...
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