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(19 Feb 2013) Key: citeulike:12054672
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We solve an open problem that asks whether the sum of $L1$ influences of bounded polynomial is polynomially upperbouned in the degree of the polynomial. We answer that affirmatively. We also give application for this theorem for maximal deviation of cut-value of graphs and give lower bound for quantum query complexity in terms of the sum of $L1$ influences.
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