On the Ihara expression for the generalized weighted zeta function

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2026-04-09 DOI:10.1007/s00010-026-01288-4

Ayaka Ishikawa, Hideaki Morita

引用次数: 0

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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广义加权zeta函数的Ihara表达式

考虑有限有向图的广义加权zeta函数，证明了它具有Ihara表达式，这是图zeta函数的行列式表达式，对于逆弧具有一定的定义。本文的有限有向图允许多弧或多环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.