On the mixing time of the flip walk on triangulations of the sphere

Thomas Budzinski

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arXiv · 1611.07324

On the mixing time of the flip walk on triangulations of the sphere

Thomas Budzinski

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Abstract

A simple way to sample a uniform triangulation of the sphere with a fixed number $n$ of vertices is a Monte-Carlo method: we start from an arbitrary triangulation and flip repeatedly a uniformly chosen edge. We give a lower bound in $n^{5/4}$ on the mixing time of this Markov chain.

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Thomas Budzinski. 2016-11-22. On the mixing time of the flip walk on triangulations of the sphere. https://arxiv.org/abs/1611.07324

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