Spectra of Laplacian Matrices of Weighted Graphs: Structural Genericity Properties
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Publication:4602783
DOI10.1137/17M1124474zbMath1394.35298arXiv1704.01677OpenAlexW2605596734MaRDI QIDQ4602783
Jan Philipp Pade, Camille Poignard, Tiago Pereira
Publication date: 2 February 2018
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.01677
General topics in linear spectral theory for PDEs (35P05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Signed and weighted graphs (05C22) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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Hubs-attracting Laplacian and Related Synchronization on Networks ⋮ Hubs-biased resistance distances on graphs and networks ⋮ Inertias of Laplacian matrices of weighted signed graphs ⋮ `Hubs-repelling' Laplacian and related diffusion on graphs/networks ⋮ Volume Bounds for the Phase-Locking Region in the Kuramoto Model with Asymmetric Coupling ⋮ State-dependent effective interactions in oscillator networks through coupling functions with dead zones ⋮ The effects of structural perturbations on the synchronizability of diffusive networks
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