On the number of simple arrangements of five double pseudolines

نویسندگان

  • Julien Ferté
  • Vincent Pilaud
  • Michel Pocchiola
چکیده

We describe an incremental algorithm to enumerate the isomorphism classes of double pseudoline arrangements. The correction of our algorithm is based on the connectedness under mutations of the spaces of one-extensions of double pseudoline arrangements, proved in this paper. Counting results derived from an implementation of our algorithm are also reported.

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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 45  شماره 

صفحات  -

تاریخ انتشار 2011