Paper by Erik D. Demaine
- Zachary Abel and Erik D. Demaine, “Edge-Unfolding Orthogonal Polyhedra is Strongly NP-Complete”, in Proceedings of the 23rd Canadian Conference on Computational Geometry (CCCG 2011), Toronto, Ontario, Canada, August 10–12, 2011, to appear.
We prove that it is strongly NP-complete to decide whether a given orthogonal
polyhedron has a (nonoverlapping) edge unfolding. The result holds even when
the polyhedron is topologically convex, i.e., is homeomorphic to a sphere, has
faces that are homeomorphic to disks, and where every two faces share at most
- The paper is 6 pages.
- The paper is available in PDF (293k).
- See information on file formats.
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