Drawing cubic graphs with at most five slopes

  • Authors:
  • Balázs Keszegh;János Pach;Dömötör Pálvölgyi;Géza Tóth

  • Affiliations:
  • Central European University, Budapest, Hungary;City College, CUNY, and Rényi Institute, Budapest, Hungary;Eötvös University, Budapest, Hungary;Rényi Institute, Budapest, Hungary

  • Venue:
  • Computational Geometry: Theory and Applications
  • Year:
  • 2008

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Abstract

We show that every graph G with maximum degree three has a straight-line drawing in the plane using edges of at most five different slopes. Moreover, if every connected component of G has at least one vertex of degree less than three, then four directions suffice.