The Ihara expression of a generalization of the weighted zeta function on a finite digraph

DOI10.1080/03081087.2023.2172134arXiv2209.12175OpenAlexW4319842951MaRDI QIDQ6201015

Ayaka Ishikawa

Publication date: 25 March 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12175

zbMATH Keywords

quantum walkSzegedy walkgraph zeta functiondeterminant expression

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Graph theory (05C99) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22)

Cites Work

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• On the relation between quantum walks and zeta functions
• The Ihara expression for the generalized weighted zeta function of a finite simple graph
• Ruelle zeta functions for finite digraphs
• A new Bartholdi zeta function of a graph
• Quantum walks and search algorithms

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