Kräuter conjecture on permanents is true

Published 10 Oct 2018 in math.CO | (1810.04439v1)

Abstract: In this paper we investigate the permanent of $(-1,1)$-matrices over fields of zero characteristics and our main goal is to provide a sharp upper bound for the value of the permanent of such matrices depending on matrix rank, solving Wang's problem posed in 1974 by confirming Kr\"auter conjecture formulated in 1985.

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