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<p>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.</p>

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On the Ihara expression for the generalized weighted zeta function

  • 期刊论文

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  • 发表日期：

    2026年4月9日

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  • Ayaka Ishikawa,
  • Hideaki Morita

摘要

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.