Segment endpoint visibility graphs are Hamiltonian

  • Authors:
  • Michael Hoffmann;Csaba D. Tóth

  • Affiliations:
  • Institute for Theoretical Computer Science, ETH Zürich, CH-8092, Switzerland;Institute for Theoretical Computer Science, ETH Zürich, CH-8092, Switzerland

  • Venue:
  • Computational Geometry: Theory and Applications - Special issue on the thirteenth canadian conference on computational geometry - CCCG'01
  • Year:
  • 2003

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Abstract

We show that the segment endpoint visibility graph of any finite set of disjoint line segments in the plane admits a simple Hamiltonian polygon, if not all segments are collinear. This proves a conjecture of Mirzaian.