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arxiv: math/0506316 · v2 · submitted 2005-06-15 · 🧮 math.CO · math.MG

Enumeration and random realization of triangulated surfaces

classification 🧮 math.CO math.MG
keywords surfacestriangulatedenumerationverticesapproacheschoosingcoordinatesdifferent
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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.

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