The Flip Diameter of Rectangulations and Convex Subdivisions

نویسندگان

  • Eyal Ackerman
  • Michelle M. Allen
  • Gill Barequet
  • Maarten Löffler
  • Joshua Mermelstein
  • Diane L. Souvaine
  • Csaba D. Tóth
چکیده

We study the configuration space of rectangulations and convex subdivisions of n points in the plane. It is shown that a sequence of O(n log n) elementary flip and rotate operations can transform any rectangulation to any other rectangulation on the same set of n points. This bound is the best possible for some point sets, while Θ(n) operations are sufficient and necessary for others. Some of our bounds generalize to convex subdivisions of n points in the plane.

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عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2014