论文标题

双曲线扫雷在P中

Hyperbolic Minesweeper is in P

论文作者

Kopczyński, Eryk

论文摘要

我们表明,虽然扫雷器是NP完整的,但其双曲线变体位于P中。我们的证明不依赖于扫雷器的规则,而是基于满足双曲线平面中嵌入的图的局部约束的任何难题。

We show that, while Minesweeper is NP-complete, its hyperbolic variant is in P. Our proof does not rely on the rules of Minesweeper, but is valid for any puzzle based on satisfying local constraints on a graph embedded in the hyperbolic plane.

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