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arXiv · 1307.7137

The mixing time of the fifteen puzzle

Ben Morris·Anastasia Raymer
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Abstract

We show that there are universal positive constants c and C such that the mixing time T_{mix} for the fifteen puzzle in an n by n torus satisfies cn^4 log n < T_{mix} < Cn^4 log^2 n.

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Ben Morris, Anastasia Raymer. 2013-07-26. The mixing time of the fifteen puzzle. https://arxiv.org/abs/1307.7137

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