Nonvanishing minors of eigenvector matrices and consequences

DOI10.1515/SPMA-2024-0020MaRDI QIDQ6646721

Tarek Emmrich

Publication date: 3 December 2024

Published in: Special Matrices (Search for Journal in Brave)

zbMATH Keywords

spectral graph theorynonvanishing minors

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Galois theory (11R32) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Matrices of integers (15B36) Relations with random matrices (11M50) Matrices, determinants in number theory (11C20)

Cites Work

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• The characteristic polynomial of a random matrix
• Unlocking the walk matrix of a graph
• \(k\)-homogeneous groups
• An uncertainty inequality for finite Abelian groups.
• Finite Permutation Groups and Finite Simple Groups
• Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial

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