23 citations · 199 across the 45 of their papers we have counts for
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math.CO2023
Sampling triangulations of manifolds using Monte Carlo methods
Eduardo G. Altmann, Jonathan Spreer
We propose a Monte Carlo method to efficiently find, count, and sample abstract triangulations of a given manifold M. The method is based on a biased random walk through all possib…
math.CO2023
Hopf triangulations of spheres and equilibrium triangulations of projective spaces
Wolfgang Kühnel, Jonathan Spreer
Following work by the first author and Banchoff, we investigate triangulations of real and complex projective spaces of real and complex dimension that are adapted to the decom…
math.GT2023
On the width of complicated JSJ decompositions
Kristóf Huszár, Jonathan Spreer
Motivated by the algorithmic study of 3-dimensional manifolds, we explore the structural relationship between the JSJ decomposition of a given 3-manifold and its triangulations. Bu…