Growth and the spectrum of the Laplacian of an infinite graph

DOI10.2748/tmj/1178225382zbMath0857.05070OpenAlexW2074182921MaRDI QIDQ1922260

Koji Fujiwara

Publication date: 25 November 1996

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225382

zbMATH Keywords

bipartite graphspectruminfinite graphLaplacianexponential growth

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (13)

A spectral property of discrete Schrödinger operators with non-negative potentials ⋮ Volume growth and spectrum for general graph Laplacians ⋮ General Cheeger inequalities for \(p\)-Laplacians on graphs ⋮ Volume growth, spectrum and stochastic completeness of infinite graphs ⋮ The Laplacian on rapidly branching trees ⋮ Growth and cogrowth of normal subgroups of a free group ⋮ Graphs with positive spectrum ⋮ Cheeger constants, growth and spectrum of locally tessellating planar graphs ⋮ Geometric and Spectral Consequences of Curvature Bounds on Tessellations ⋮ On the \(l^p\) spectrum of Laplacians on graphs ⋮ The dual Cheeger constant and spectra of infinite graphs ⋮ An overview of curvature bounds and spectral theory of planar tessellations ⋮ Intrinsic Metrics on Graphs: A Survey

Cites Work

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• A relation between growth and the spectrum of the Laplacian
• The spectral geometry of \(k\)-regular groups
• The Laplacian on rapidly branching trees
• Determinants of Laplacians on graphs
• On the First Eigenvalue of the Combinatorial Laplacian for a Graph.
• Eigenvalues of Laplacians on a Closed Riemannian Manifold and Its Nets

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