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arXiv:2102.09486 [math.CO]AbstractReferencesReviewsResources

Zeta functions of periodic graphs derived from quantum walk

Takashi Komatsu, Norio Konno, Iwao Sato

Published 2021-02-11Version 1

We define a zeta function of a finite graph derived from time evolution matrix of quantum walk, and give its determinant expression. Furthermore, we generalize the above result to a periodic graph.

Comments: 16 pages. arXiv admin note: text overlap with arXiv:1910.12782
Categories: math.CO
Subjects: 60F05, 05C50, 15A15, 05C25
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