arXiv:1910.12782 Abstract | arXiv Analytics

arXiv:1910.12782 [math.CO]Abstract References Reviews Resources

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

Published 2019-10-28Version 1

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.

Comments: 14 pages

Categories: math.CO

Subjects: 60F50, 05C50, 15A15, 05C60

Keywords: general coined quantum walk, zeta function, periodic graph, determinant expression, time evolution matrix

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