Zeta functions of graph coverings

DOI10.1006/jctb.2000.1983zbMath1023.05114OpenAlexW2045393621MaRDI QIDQ1850499

Hirobumi Mizuno, Iwao Sato

Publication date: 10 December 2002

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

Full work available at URL: https://doi.org/10.1006/jctb.2000.1983

zbMATH Keywords

decomposition formula

Mathematics Subject Classification ID

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

Related Items (21)

Bartholdi zeta functions of some graphs ⋮ Bartholdi zeta and \(L\)-functions of weighted digraphs, their coverings and products ⋮ Bartholdi Zeta Functions of Branched Coverings of Digraphs ⋮ Zeta functions of line, middle, total graphs of a graph and their coverings ⋮ Weighted zeta functions of graphs ⋮ A generalized Bartholdi zeta function for a regular covering of a bipartite graph ⋮ A new weighted Ihara zeta function for a graph ⋮ \(L\)-functions of regular coverings of graphs. ⋮ On the weighted complexity of a regular covering of a graph ⋮ Bartholdi zeta functions of graph coverings ⋮ Bartholdi zeta functions of generalized join graphs ⋮ Weighted zeta functions for quotients of regular coverings of graphs ⋮ Hypergraph coverings and their zeta functions ⋮ Weighted Bartholdi zeta functions of graphs ⋮ Bartholdi zeta functions of graph bundles having regular fibers ⋮ \(L\)-functions for line graphs of semiregular bipartite graphs ⋮ Zeta functions of digraphs ⋮ A generalized Bartholdi zeta function for a general graph ⋮ The zeta functions of dihypergraphs and dihypergraph coverings ⋮ Zeta functions of oriented line graphs of graph coverings ⋮ Weighted zeta functions of digraphs

Cites Work

• Generating all graph coverings by permutation voltage assignments
• A note on the zeta function of a graph
• Characteristic polynomials of some graph coverings
• Zeta functions of finite graphs and coverings
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• ARTIN TYPE L-FUNCTIONS AND THE DENSITY THEOREM FOR PRIME CYCLES ON FINITE GRAPHS
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