On the complexity of the permanent in various computational models

نویسندگان

  • Christian Ikenmeyer
  • J. M. Landsberg
چکیده

We answer a question in [10], showing the regular determinantal complexity of the determinant detm is O(m ). We answer questions in, and generalize results of [2], showing there is no rank one determinantal expression for perm m or detm when m ≥ 3. Finally we state and prove several “folklore” results relating different models of computation.

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عنوان ژورنال:
  • CoRR

دوره abs/1610.00159  شماره 

صفحات  -

تاریخ انتشار 2016