Three-colourability problem
= Three-colourability problem
= Three-colorability problem
{synonym}
This <decision problem> asks whether a finite <undirected graph> has a <graph colouring> with three colours. It is <NP-complete>: a colouring certifies membership in <NP>, while <3-SAT> reduces using <Boolean-pair colouring gadgets> and <three-colour clause gadgets>.