74 citations · 190 across the 12 of their papers we have counts for
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math.CO2006★ 5 cited
Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds
Thom Sulanke, Frank H. Lutz
We present a fast enumeration algorithm for combinatorial 2- and 3-manifolds. In particular, we enumerate all triangulated surfaces with 11 and 12 vertices and all triangulated 3-m…
math.CO2006★ 25 cited
Irreducible triangulations of low genus surfaces
Thom Sulanke
The complete sets of irreducible triangulations are known for the orientable surfaces with genus of 0, 1, or 2 and for the nonorientable surfaces with genus of 1, 2, 3, or 4. By ex…
math.CO2006★ 24 cited
Generating irreducible triangulations of surfaces
Thom Sulanke
Starting with the irreducible triangulations of a fixed surface and splitting vertices, all the triangulations of the surface up to a given number of vertices can be generated. The…