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Physical Sciences and Mathematics Commons

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Mathematics

Smith College

2009

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Full-Text Articles in Physical Sciences and Mathematics

Grünbaum Colorings Of Toroidal Triangulations, Michael O. Albertson, Hannah Alpert, Sarah-Marie Belcastro, Ruth Haas Apr 2009

Grünbaum Colorings Of Toroidal Triangulations, Michael O. Albertson, Hannah Alpert, Sarah-Marie Belcastro, Ruth Haas

Mathematics Sciences: Faculty Publications

We prove that if G is a triangulation of the torus and χ(G) 6 ≠ 5, then there is a 3-coloring of the edges of G so that the edges bounding every face are assigned three different colors.