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arXiv · 0705.1835

Decomposition and Enumeration of Triangulated Surfaces

Gennaro Amendola
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Abstract

We describe some theoretical results on triangulations of surfaces and we develop a theory on roots, decompositions and genus-surfaces. We apply this theory to describe an algorithm to list all triangulations of closed surfaces with at most a fixed number of vertices. We specialize the theory for the case where the number of vertices is at most 11 and we get theoretical restrictions on genus-surfaces allowing us to get the list of triangulations of closed surfaces with at most 11 vertices.

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Gennaro Amendola. 2007-12-06. Decomposition and Enumeration of Triangulated Surfaces. https://doi.org/10.1080/10586458.2008.10129027

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