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 one edge.

The paper is 6 pages.

The paper is available in PDF (293k).
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Last updated March 9, 2018 by Erik Demaine.