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Metzler/Zeta Correspondence

Published 1 May 2022 in math.CO | (2205.00457v2)

Abstract: We present an explicit formula for the determinant on the Metzler matrix of a digraph $D$. Furthermore, we introduce a walk-type zeta function with respect to this Metzler matrix of the symmetric digraph of a finite torus, and express its limit formula by using the integral expression.

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