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

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

2011-01-28

arxiv.org/abs/1101.5537v2

Mathematics

Combinatorics

11 pages, 11 small pictures

Scientific paper

In this paper we prove that any triangulation of a 2-dimensional sphere with
a strict 4-coloring on its vertices can seen as the boundary of a triangulation
of a 3-dimensional disk with the same vertices and preserving the 4-coloring.

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