Decomposition and Enumeration of Triangulated Surfaces

Details Decomposition and Enumeration of Triangulated Surfaces Decomposition and Enumeration of Triangulated Surfaces

2007-05-13

arxiv.org/abs/0705.1835v2

Experiment. Math. 17-2 (2008) 153-166

Mathematics

Combinatorics

22 pages, 11 figures, 2 tables; exposition improved

Scientific paper

We describe some theoretical results on triangulations of surfaces and we develop a theory on roots, decompositions and genus-surfaces. We apply this theory to describe an algorithm to list all triangulations of closed surfaces with at most a fixed number of vertices. We specialize the theory for the case where the number of vertices is at most 11 and we get theoretical restrictions on genus-surfaces allowing us to get the list of triangulations of closed surfaces with at most 11 vertices.

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