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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.

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Metadaten
Author:Frank H. Lutz
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
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