On semiring complexity of Schur polynomials

نویسندگان

  • Sergey Fomin
  • Dima Grigoriev
  • Dorian Nogneng
  • Éric Schost
چکیده

Semiring complexity is the version of arithmetic circuit complexity that allows only two operations: addition and multiplication. We show that semiring complexity of a Schur polynomial sλ(x1, . . . , xk) labeled by a partition λ = (λ1 ≥ λ2 ≥ · · · ) is bounded by O(log(λ1)) provided the number of variables k is fixed.

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عنوان ژورنال:
  • CoRR

دوره abs/1608.05043  شماره 

صفحات  -

تاریخ انتشار 2016