Extending triangulations of the 2-sphere to the 3-disk preserving a 4-coloring

Rui Carpentier
2012 Pacific Journal of Mathematics  
We prove that any triangulation of a 2-dimensional sphere with a proper strict 4-coloring on its vertices can be seen as the boundary of a triangulation of a 3-dimensional disk with the same vertices in such a way that the 4-coloring remains proper.
doi:10.2140/pjm.2012.257.257 fatcat:pmwdjqkoazfapppfvwy6dvs2ee