Better Approximation of Diagonal-Flip Transformation and Rotation Transformation

Extended Abstract
  • Ming Li
  • Louxin Zhang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1449)


Approximation algorithms are developed for the diagonal- flip transformation of convex polygon triangulations and equivalently rotation transformation of binary trees. For two arbitrary triangulations in which each vertex is an end of at most d diagonals, Algorithm A has the approximation ratio \( 2 - \frac{2} {{4(d - 1)(d + 6) + 1}}. \) For triangulations containing no internal triangles, Algorithm B has the approximation ratio 1.97. Two self-interesting lower bounds on the diagonal-flip distance are also established in the analyses of these two algorithms.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Ming Li
    • 1
  • Louxin Zhang
    • 2
    • 3
  1. 1.Department of Computer ScienceUniversity of WaterlooCanada
  2. 2.BioInformatics CenterNUSSingapore
  3. 3.Kent Ridge Digital LabsSingapore

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