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arXiv · 2306.11939

A Parameterized Algorithm for Flat Folding

David Eppstein
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Abstract

We prove that testing the flat foldability of an origami crease pattern (either labeled with mountain and valley folds, or unlabeled) is fixed-parameter tractable when parameterized by the ply of the flat-folded state and by the treewidth of an associated planar graph, the cell adjacency graph of an arrangement of polygons formed by the flat-folded state. For flat foldings of bounded ply, our algorithm is single-exponential in the treewidth; this dependence on treewidth is necessary under the exponential time hypothesis.

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David Eppstein. 2023-06-20. A Parameterized Algorithm for Flat Folding. https://arxiv.org/abs/2306.11939

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