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Enumeration and random realization of triangulated surfaces

Frank H. Lutz
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Abstract

We discuss different approaches for the enumeration of triangulated surfaces. In particular, we enumerate all triangulated surfaces with 9 and 10 vertices. We also show how geometric realizations of orientable surfaces with few vertices can be obtained by choosing coordinates randomly.

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Frank H. Lutz. 2006-04-02. Enumeration and random realization of triangulated surfaces. https://arxiv.org/abs/math/0506316

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