35 citations · 127 across the 21 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.MG2006★ 35 cited
Surface realization with the intersection edge functional
Stefan Hougardy, Frank H. Lutz, Mariano Zelke
Deciding realizability of a given polyhedral map on a (compact, connected) surface belongs to the hard problems in discrete geometry, from the theoretical, the algorithmic, and the…