Zeta Functions with Respect to General Coined Quantum Walk of Periodic Graphs
Keyword(s):
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 (inifinite) periodic graph.
2015 ◽
Vol 230
(12)
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2006 ◽
Vol 80
(1)
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pp. 89-103
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2018 ◽
Vol 19
(3)
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pp. 947-964
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Keyword(s):
2020 ◽
Vol 117
(12)
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pp. 6398-6408