Calin Popescu: On vertex 3-colourable disc triangulations, 133-145

Abstract:

A vertex $3$-colouring theorem for a suitably triangulated $2$-disc, rooting back in the late years of the nineteenth century, is considered and discussed in careful detail. A whole string of corollaries are derived, two particular classes of triangulations are singled out, and the boundary even vertex set is enquired into in further detail.

Key Words: Vertex $3$-colourable disc triangulation.

2010 Mathematics Subject Classification: Primary 05C10; Secondary 05C15.