Enumeration and random realization of triangulated surfaces

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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.
18 pages, 6 figures

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Combinatorics, Metric Geometry, 57Q15; 05C30; 52B70

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http://salesiana.dossiersoluciones.com/handle/123456789/102045

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506316
 http://arxiv.org/abs/math/0506316

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arXiv