The quality ratio of RAC drawings and planar drawings of planar graphs

  • Authors:
  • Marc Van Kreveld

  • Affiliations:
  • Department of Information and Computing Sciences, Utrecht University, The Netherlands

  • Venue:
  • GD'10 Proceedings of the 18th international conference on Graph drawing
  • Year:
  • 2010

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Abstract

We study how much better a right-angled crossing (RAC) drawing of a planar graph can be than any planar drawing of the same planar graph. We analyze the area requirement, the edge-length ratio, and the angular resolution. For the first two measures, a RAC drawing can be arbitrarily much better, whereas for the third measure a RAC drawing can be 2.75 times as good.