A zeta function with respect to non-backtracking alternating walks for a digraph

DOI10.1016/j.laa.2021.03.020zbMath1462.05231OpenAlexW3139029323MaRDI QIDQ2020696

Norio Konno, Takashi Komatsu, Iwao Sato

Publication date: 24 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.03.020

zbMATH Keywords

\(L\)-functionzeta functiondigraph coveringalternating walk

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) 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) Directed graphs (digraphs), tournaments (05C20)

Related Items (1)

Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs

Cites Work

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• 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
• Elementary Divisors of AB and BA

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