Weighted zeta functions of graphs

DOI10.1016/j.jctb.2003.12.003zbMath1048.05044OpenAlexW2076898043MaRDI QIDQ598464

Hirobumi Mizuno, Iwao Sato

Publication date: 6 August 2004

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2003.12.003

zbMATH Keywords

\(L\)-functionZeta functionGraph covering

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Other Dirichlet series and zeta functions (11M41)

Related Items (13)

Bartholdi zeta and \(L\)-functions of weighted digraphs, their coverings and products ⋮ The quaternionic weighted zeta function of a graph ⋮ A vertex weighted Bartholdi zeta function for a digraph ⋮ Characteristic polynomials and zeta functions of equitably partitioned graphs ⋮ A new weighted Ihara zeta function for a graph ⋮ Kazakov-Migdal model on the graph and Ihara zeta function ⋮ Ruelle zeta functions for finite digraphs ⋮ Weighted zeta functions for quotients of regular coverings of graphs ⋮ The quaternionic second weighted zeta function of a graph and the Study determinant ⋮ A matrix-weighted zeta function of a graph ⋮ Weighted Bartholdi zeta functions of graphs ⋮ A vertex weighted Bartholdi zeta function for a graph ⋮ The Ihara expression for the generalized weighted zeta function of a finite simple graph

Cites Work

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