Technical Report CS0781

TR#:CS0781
Class:CS
Title: ZERO-ONE PERMANENT IS # P-COMPLETE, A SIMPLER PROOF.
Authors: A. Ben-Dor and S. Halevi
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Abstract:

In 1979, Valiant proved that computing the permanent of a 01-matrix is #P-Complete. In this paper we present another proof for the same result. Our proof uses ``black box'' methodology, which facilitates its presentation. We also prove that deciding whether the permanent is divisible by a small prime is #P-Hard. We conclude by proving that a polynomially bounded function cannot be #P-Complete under ``reasonable'' complexity assumptions.

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