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Hyperbolic Minesweeper is in P

Authors :
Kopczyński, Eryk
Source :
10th International Conference on Fun with Algorithms (FUN 2021)
Publication Year :
2020

Abstract

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.<br />Comment: fixed an error in Corollary 5.6: planar graph -> (r,d)-hyperbolic graph

Details

Database :
arXiv
Journal :
10th International Conference on Fun with Algorithms (FUN 2021)
Publication Type :
Report
Accession number :
edsarx.2002.09534
Document Type :
Working Paper
Full Text :
https://doi.org/10.4230/LIPIcs.FUN.2021.18