Spectra of modular and small-world matrices

DOI10.1088/1751-8113/44/16/165205zbMath1216.15026arXiv1012.0529OpenAlexW2147018739MaRDI QIDQ2998058

Reimer Kühn, Jort van Mourik

Publication date: 18 May 2011

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

Full work available at URL: https://arxiv.org/abs/1012.0529

zbMATH Keywords

random graphsspectral densityspectraadjacency matricessymmetric random matricesgraph Laplacians

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items (6)

Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half‐Plane ⋮ Localization of eigenvectors in random graphs ⋮ Proof of a conjecture on the infinite dimension limit of a unifying model for random matrix theory ⋮ Spectral density of equitable core-periphery graphs ⋮ Top eigenpair statistics for weighted sparse graphs ⋮ Second largest eigenpair statistics for sparse graphs

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