On the Ihara expression for the generalized weighted zeta function

Aequationes Mathematicae 2026 Open access

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Authors: Ayaka Ishikawa, Hideaki Morita
DOI: 10.1007/s00010-026-01288-4
Cited by: 0
References: 24

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.

Fields of Study & Subjects

Graph theory and applications Molecular spectroscopy and chirality Nonlinear Optical Materials Research

Publication details

Journal / source
Aequationes Mathematicae
Publisher
Springer Science and Business Media LLC
Volume
100
Issue
3
Publication date
9 April 2026
Language
EN