Graph spectra for finite upper half planes over rings

DOI10.1016/0024-3795(95)00173-OzbMath0833.11059MaRDI QIDQ1899426

C. Trimble, J. Angel, B. Shook, Audrey A. Terras

Publication date: 17 March 1996

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

zbMATH Keywords

eigenvaluesmodular groupringsgraph spectraRamanujan graphsPoincaré upper half planefinite upper half planes

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite fields and commutative rings (number-theoretic aspects) (11T99) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (7)

Spectral analysis of the affine graph over the finite ring ⋮ Eigenvalues of Cayley graphs ⋮ Finite analogues of Euclidean space ⋮ Symmetric association schemes attached to finite upper half planes over rings. ⋮ Finite Euclidean graphs over rings ⋮ Survey of Spectra of Laplacians on Finite Symmetric Spaces ⋮ On the spectra of certain graphs arising from finite fields

Cites Work

• Ramanujan graphs
• Eigenvalue bounds and girths of graphs of finite, upper half-planes
• Diameters and Eigenvalues
• Estimates for Soto-Andrade sums.
• A Natural Orthogonal Basis of Eigenfunctions of the Hecke Algebra Acting on Cayley Graphs
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