On the Ihara expression for the generalized weighted zeta function

Ayaka Ishikawa; Hideaki Morita

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arXiv · 2210.13262

On the Ihara expression for the generalized weighted zeta function

Ayaka Ishikawa·Hideaki Morita

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Abstract

We consider the generalized weighted zeta function for a finite digraph, and show that it has the Ihara expression, a determinant expression of graph zeta functions, with a certain specified definition for inverse arcs. A finite digraph in this paper allows multi-arcs or multi-loops.

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Ayaka Ishikawa, Hideaki Morita. 2023-04-02. On the Ihara expression for the generalized weighted zeta function. https://arxiv.org/abs/2210.13262

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