A weighted alternating zeta function of a digraph

DOI10.1080/03081087.2021.1910122zbMath1505.05057OpenAlexW3152102303MaRDI QIDQ5870085

Iwao Sato, Takashi Komatsu, Norio Konno

Publication date: 5 January 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1910122

zbMATH Keywords

\(L\)-functionzeta functionalternating cycledigraph covering

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) (zeta (s)) and (L(s, chi)) (11M06) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• Zeta functions of finite graphs and coverings
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• On the characteristic polynomial of a sum of matrices
• A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• Non-Backtracking Alternating Walks
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