Zeta functions with respect to general coined quantum walk of periodic graphs

Published 28 Oct 2019 in math.CO | (1910.12782v1)

Abstract: We define a zeta function of a graph by using the time evolution matrix of a general coined quantum walk on it, and give a determinant expression for the zeta function of a finite graph. Furthermore, we present a determinant expression for the zeta function of an (infinite) periodic graph.

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