A Parameterized Algorithm for Flat Folding
Autor: | Eppstein, David |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 8 pages, 8 figures. To appear at CCCG 2023 |
Databáze: | arXiv |
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