A Framework for Loop and Path Puzzle Satisfiability NP-Hardness Results

Hadyn Tang

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arXiv · 2202.02046

A Framework for Loop and Path Puzzle Satisfiability NP-Hardness Results

Hadyn Tang

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Abstract

Building on the results published in arxiv:2004.12849 we present a general framework for demonstrating the NP-hardness of satisfying many genres of loop and path puzzles using a 'T-metacell' gadget. We then use this to prove the NP-completeness of a variety of such genres, and discuss some of the limitations of this gadget.

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Hadyn Tang. 2022-02-04. A Framework for Loop and Path Puzzle Satisfiability NP-Hardness Results. https://arxiv.org/abs/2202.02046

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