Spectral gap of the discrete Laplacian on triangulations

DOI10.1063/1.5115778zbMath1456.05099arXiv1907.05619OpenAlexW3101993545MaRDI QIDQ5141107

Yassin Chebbi

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05619

zbMATH Keywords

hypergraph of a complete graphtwo-simplicial complex

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (1)

Continuum limit for a discrete Hodge-Dirac operator on square lattices

Cites Work

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• Simplicial structures in topology.
• \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
• The Gauss-Bonnet operator of an infinite graph
• The discrete Laplacian of a 2-simplicial complex
• Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians
• Isoperimetric inequalities in simplicial complexes
• Harmonic functions and boundary value problems on a chain complex
• Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
• Spectra of Laplacians on forms on an infinite graph
• Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
• Spectral gap for quantum graphs and their edge connectivity
• Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs

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