Bartholdi zeta functions of digraphs

DOI10.1016/j.ejc.2003.07.001zbMath1029.05098OpenAlexW2041733392MaRDI QIDQ1414630

Hirobumi Mizuno, Iwao Sato

Publication date: 4 December 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.07.001

zbMATH Keywords

\(L\)-functionZeta functionDigraph

Mathematics Subject Classification ID

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

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Bartholdi zeta and \(L\)-functions of weighted digraphs, their coverings and products ⋮ A new proof of a formula for the Bartholdi zeta function of a digraph ⋮ Bartholdi Zeta Functions of Branched Coverings of Digraphs ⋮ A vertex weighted Bartholdi zeta function for a digraph ⋮ A geometric renormalization group in discrete quantum space–time ⋮ A new Bartholdi zeta function of a digraph ⋮ A note on Bartholdi zeta function and graph invariants based on resistance distance ⋮ Ruelle zeta functions for finite digraphs ⋮ Some weighted Bartholdi zeta function of a digraph ⋮ An Ihara formula for partially directed graphs ⋮ A new Bartholdi zeta function of a digraph II ⋮ A new generalized Bartholdi zeta function for a digraph

Cites Work

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