# Difference between revisions of "Excluding bichromatic vertices"

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+ | '''Theorem 1''' A 4-coloring of the unit plane cannot contain a bichromatic vertex (a vertex that can be colored in either of two colors while keeping the color of all other vertices fixed). | ||

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+ | '''Proof''' | ||

[[Category:Polymath16]] | [[Category:Polymath16]] |

## Revision as of 18:00, 10 May 2018

**Theorem 1** A 4-coloring of the unit plane cannot contain a bichromatic vertex (a vertex that can be colored in either of two colors while keeping the color of all other vertices fixed).

**Proof**