We provide a graph-theoretic characterization of three classes of nonconvex polyhedra with axis-parallel sides, analogous to Steinitz's theorem characterizing the graphs of convex polyhedra.
The journal version has the slightly different title "Steinitz theorems for simple orthogonal polyhedra".
(Slides)
Publications – David Eppstein – Theory Group – Inf. & Comp. Sci. – UC Irvine
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