English

Phase transition for Minesweeper

Probability 2025-06-03 v1 Mathematical Physics Combinatorics math.MP

Abstract

We prove a coarse phase transition for the game of Minesweeper: above a certain critical mine density, the game becomes unsolvable with high probability, whereas below the critical mine density it can be solved with a linear time algorithm.

Cite

@article{arxiv.2506.01634,
  title  = {Phase transition for Minesweeper},
  author = {Baptiste Louf},
  journal= {arXiv preprint arXiv:2506.01634},
  year   = {2025}
}

Comments

13 pages, 7 figures. Comments are welcome !

R2 v1 2026-07-01T02:54:23.129Z