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

  • Authors:
  • Michael B. Dillencourt;Warren D. Smith

  • Affiliations:
  • -;-

  • Venue:
  • SCG '92 Proceedings of the eighth annual symposium on Computational geometry
  • Year:
  • 1992

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Abstract

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.