Spectrum of signless 1-Laplacian on simplicial complexes
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Publication:2185220
DOI10.37236/8951zbMath1441.05254arXiv1708.03112OpenAlexW3031736187MaRDI QIDQ2185220
Publication date: 4 June 2020
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.03112
Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational methods for eigenvalues of operators (49R05) Combinatorial aspects of simplicial complexes (05E45)
Cites Work
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- New spectral bounds on the chromatic number encompassing all eigenvalues of the adjacency matrix
- Ramanujan complexes and high dimensional expanders
- Nodal domains of eigenvectors for 1-Laplacian on graphs
- On the chromatic number of a simplicial complex
- Interlacing inequalities for eigenvalues of discrete Laplace operators
- The theta number of simplicial complexes
- Topological multiplicity of the maximum eigenvalue of graph \(1\)-Laplacian
- Spectra of combinatorial Laplace operators on simplicial complexes
- Harmonic functions and boundary value problems on a chain complex
- Simplicial complexes: Spectrum, homology and random walks
- High dimensional expanders and property testing
- The 1-Laplacian Cheeger Cut: Theory and Algorithms
- Mixing Properties and the Chromatic Number of Ramanujan Complexes
- Spectrum of the 1-Laplacian and Cheeger's Constant on Graphs
- Optimization and nonsmooth analysis
- From Ramanujan graphs to Ramanujan complexes
- Construction of new local spectral high dimensional expanders
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