A linear-time algorithm for testing the inscribability of trivalent polyhedra

Michael B. Dillencourt, Warren D. Smith · 1992

We present an algorithm for testing the inscribability of a trivalent polyhedron, or, equivalently, testing the circumscribability of a simplicial polyhedron. Our algorithm runs in linear time, using only low-precision integer arithmetic. The algorithm is based on a purely combinatorial characterization of inscribable trivalent polyhedra.

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