Bartholdi Zeta Functions of Branched Coverings of Digraphs

DOI10.1007/978-3-540-89550-3_15zbMath1162.05347OpenAlexW173776950MaRDI QIDQ5302748

Hirobumi Mizuno, Iwao Sato

Publication date: 13 January 2009

Published in: Computational Geometry and Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-89550-3_15

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) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• Homomorphisms, representations and characteristic polynomials of digraphs
• Bartholdi zeta functions of graph coverings
• Bartholdi zeta functions of digraphs
• Counting paths in graphs
• Zeta functions of graph coverings
• Zeta functions of finite graphs and coverings
• Characteristic polynomials of graphs having a semifree action
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Characteristic polynomials of digraphs having a semi-free action
• A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE

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