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arXiv · 1803.01176

Path Puzzles: Discrete Tomography with a Path Constraint is Hard

Jeffrey Bosboom·Erik D. Demaine·Martin L. Demaine·Adam Hesterberg·Roderick Kimball·Justin Kopinsky
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Abstract

We prove that path puzzles with complete row and column information--or equivalently, 2D orthogonal discrete tomography with Hamiltonicity constraint--are strongly NP-complete, ASP-complete, and #P-complete. Along the way, we newly establish ASP-completeness and #P-completeness for 3-Dimensional Matching and Numerical 3-Dimensional Matching.

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Jeffrey Bosboom, Erik D. Demaine, Martin L. Demaine, Adam Hesterberg, Roderick Kimball, Justin Kopinsky. 2018-03-03. Path Puzzles: Discrete Tomography with a Path Constraint is Hard. https://arxiv.org/abs/1803.01176

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