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arxiv: 1101.5537 · v2 · pith:H3NQJ6UNnew · submitted 2011-01-28 · 🧮 math.CO · math.GT

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

classification 🧮 math.CO math.GT
keywords coloringdimensionaldiskpreservingspheretriangulationverticesboundary
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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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