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Multi-party protocols and spectral norms

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Grolmusz,  Vince
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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MPI-I-93-132.pdf
(Any fulltext), 10MB

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Citation

Grolmusz, V.(1993). Multi-party protocols and spectral norms (MPI-I-93-132). Saarbrücken: Max-Planck-Institut für Informatik.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-B753-1
Abstract
Let f be a Boolean function of $n$ variables with $L_1$ spectral norm $L_1(f)>n^\epsilon$ for some positive $\epsilon$ . Then f can be computed by a $O(\log L_1(f))$ player multi--party protocol with $O(\log^2 L_1(f))$ communication.