The Ihara expression for the generalized weighted zeta function of a finite simple graph

DOI10.1016/j.laa.2021.06.008zbMath1468.05157OpenAlexW3176772741MaRDI QIDQ2041779

Iwao Sato, Hideaki Morita, Etsuo Segwa, Yusuke Ide, Ayaka Ishikawa

Publication date: 23 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.06.008

zbMATH Keywords

digraphszeta functionsdeterminant expressions

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41) Directed graphs (digraphs), tournaments (05C20)

Related Items (2)

A characteristic polynomial for the transition probability matrix of correlated random walks on a graph ⋮ The Ihara expression of a generalization of the weighted zeta function on a finite digraph

Cites Work

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• A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• A new Bartholdi zeta function of a graph

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