Note: Geometric drawings of Kn with few crossings

  • Authors:
  • Bernardo M. Ábrego;Silvia Fernández-Merchant

  • Affiliations:
  • Department of Mathematics, California State University, Northridge, 18111 Nordhoff St, Northridge, CA 91330-8313, USA;Department of Mathematics, California State University, Northridge, 18111 Nordhoff St, Northridge, CA 91330-8313, USA

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2007

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Abstract

We give a new upper bound for the rectilinear crossing number cr@?(n) of the complete geometric graph K"n. We prove that cr@?(n)=