A note on the graph's resolvent and the multifilar structure

DOI10.1016/j.laa.2009.05.019zbMath1203.05091OpenAlexW2065997384MaRDI QIDQ837015

Shmuel Friedland, Giang T. Nguyen, Vladimir V. Ežov

Publication date: 10 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.05.019

zbMATH Keywords

resolventspectrumregular graphself-similarIhara-Selberg trace formula

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Graph representations (geometric and intersection representations, etc.) (05C62)

Related Items (4)

Gaussianization of the spectra of graphs and networks. Theory and applications ⋮ Accounting for the role of long walks on networks via a new matrix function ⋮ GRAPH-THEORY INDUCED GRAVITY AND STRONGLY-DEGENERATE FERMIONS IN A SELF-CONSISTENT EINSTEIN UNIVERSE ⋮ Hamiltonian cycle curves in the space of discounted occupational measures

Cites Work

• Unnamed Item
• Clustering of spectra and fractals of regular graphs
• Network robustness to targeted attacks. The interplay of expansibility and degree distribution
• Parallel concepts in graph theory
• Which graphs are determined by their spectrum?
• Estimating the Estrada index
• Discrete path integral approach to the Selberg trace formula for regular graphs
• Network Properties Revealed through Matrix Functions
• Spectral theory of linear operators and spectral systems in Banach algebras

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