English

The trace formula with respect to the twisted Grover matrix of a mixed digraph

Combinatorics 2021-05-07 v1

Abstract

We define a zeta function woth respect to the twisted Grover matrix of a mixed digraph, and present an exponential expression and a determinant expression of this zeta function. As an application, we give a trace formula with respect to the twisted Grover matrix of a mixed digraph.

Keywords

Cite

@article{arxiv.2105.02678,
  title  = {The trace formula with respect to the twisted Grover matrix of a mixed digraph},
  author = {Takashi Komatsu and Sho Kubota and Norio Konno and Iwao Sato},
  journal= {arXiv preprint arXiv:2105.02678},
  year   = {2021}
}

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17 pages