FindPlanarColoring

FindPlanarColoring[g] finds a coloring with minimal size for the faces of the planar graph g.

FindPlanarColoring[g,{c1,c2,…}] finds a coloring {c1,c2,…,ck} for the faces in the graph g.

Examples

(* Find face coloring for a planar graph *)
g = GridGraph[{3, 3}];
FindPlanarColoring[g]

(* Use specific colors *)
FindPlanarColoring[g, {Red, Blue, Green, Yellow}]

Please visit the official Wolfram Language Reference for more details.