Scattering matrices of regular coverings of graphs

DOI10.1016/j.disc.2009.09.009zbMath1208.05076OpenAlexW2046169945MaRDI QIDQ965957

Hirobumi Mizuno, Iwao Sato

Publication date: 27 April 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.09.009

zbMATH Keywords

\(L\)-functionscattering matrixLaplacian matrixgraph covering

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zeta functions of finite graphs and coverings
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Quantum chaos on discrete graphs
• 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
• Quantum graphs where back-scattering is prohibited
• Functionals of Brownian motion, localization and metric graphs