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Kempe equivalence of $4$-critical planar graphs

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arxiv 2101.04065 v3 pith:P2GGCVAZ submitted 2021-01-11 math.CO

classification math.CO
keywords criticalkempeplanaransweringclasscoloringsequivalenceevery
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abstract

Answering a question of Mohar from 2007, we show that for every $4$-critical planar graph, its set of $4$-colorings is a Kempe class.

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