A Parameterized Algorithm for Flat Folding

Autor: Eppstein, David
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