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arXiv · 2408.00978

Exploring mazes at random

Nikita Gladkov·Igor Pak
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Abstract

We consider a probabilistic version of the depth-first search on mazes with two exits, and show that this algorithm has equal probability of finding either exit. The proof is combinatorial and uses an explicit involution.

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Nikita Gladkov, Igor Pak. 2024-08-05. Exploring mazes at random. https://arxiv.org/abs/2408.00978

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