English

Enumeration and random realization of triangulated surfaces

Combinatorics 2007-05-23 v2 Metric Geometry

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.

Keywords

Cite

@article{arxiv.math/0506316,
  title  = {Enumeration and random realization of triangulated surfaces},
  author = {Frank H. Lutz},
  journal= {arXiv preprint arXiv:math/0506316},
  year   = {2007}
}

Comments

18 pages, 6 figures

R2 v1 2026-07-22T17:20:47.481Z