On the realizable weaving patterns of polynomial curves in R

نویسندگان

  • Saugata Basu
  • Raghavan Dhandapani
  • Richard Pollack
چکیده

We prove that the number of distinct weaving patterns produced by n semi-algebraic curves in R defined coordinate-wise by polynomials of degrees bounded by some constant d, is bounded by 2 log , where the implied constant in the exponent depends on d. This generalizes a similar bound obtained by Pach, Pollack and Welzl [3] for the case when d = 1.

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تاریخ انتشار 2007