Isospectral graph reductions and improved estimates of matrices’ spectra

Author:

Bunimovich L.A.,Webb B.Z.

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference18 articles.

1. Dynamical networks: interplay of topology, interactions, and local dynamics;Afraimovich;Nonlinearity,2007

2. Long range action in networks of chaotic elements;Blank;Nonlinearity,2006

3. Limits for the characteristic roots of a matrix II;Brauer;Duke Math. J.,1947

4. Matrices, eigenvalues, and directed graphs;Brualdi;Linear and Multilinear Algebra,1982

5. Combinatorial Matrix Theory;Brualdi,1991

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1. Emergent non-Hermitian models;Physical Review B;2024-01-11

2. Stationary measures on infinite graphs;Communications in Contemporary Mathematics;2021-03-16

3. Isospectral reduction in infinite graphs;Journal of Spectral Theory;2020-09-16

4. On the spectral properties of Feigenbaum graphs;Journal of Physics A: Mathematical and Theoretical;2019-12-19

5. A new Gershgorin-type result for the localisation of the spectrum of matrices;Mathematische Nachrichten;2015-07-15

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