Enumeration and Random Realization of Triangulated Surfaces
Please always quote using this URN: urn:nbn:de:0297-zib-9012
- 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.
Author: | Frank H. Lutz |
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Document Type: | ZIB-Report |
Tag: | polyhedral manifolds; triangulated surfaces |
MSC-Classification: | 52-XX CONVEX AND DISCRETE GEOMETRY / 52Bxx Polytopes and polyhedra / 52B70 Polyhedral manifolds |
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Qxx PL-topology / 57Q15 Triangulating manifolds | |
Date of first Publication: | 2006/03/01 |
Series (Serial Number): | ZIB-Report (06-07) |
ZIB-Reportnumber: | 06-07 |
Published in: | Appeared in: Discrete Differential Geometry (A. I. Bobenko, P. Schröder, J. M. Sullivan, and G. M. Ziegler, eds.). Oberwolfach Seminars 38, 235-253. Birkhäuser, Basel, 2008 |