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Approximating spectral impact of structural perturbations in large networks / Milanese, A (CERN) ; Milanese, Attilio (Clarkson Univ, Dept Mech & Aeronaut Engn, Potsdam, NY 13699 USA.) ; Nishikawa, Takashi (Clarkson Univ, Dept Math & Comp Sci, Potsdam, NY 13699 USA.) ; Sun, Jie (Clarkson Univ, Dept Math & Comp Sci, Potsdam, NY 13699 USA.)
Determining the effect of structural perturbations on the eigenvalue spectra of networks is an important problem because the spectra characterize not only their topological structures, but also their dynamical behavior, such as synchronization and cascading processes on networks. Here we develop a theory for estimating the change of the largest eigenvalue of the adjacency matrix or the extreme eigenvalues of the graph Laplacian when small but arbitrary set of links are added or removed from the network. [...]
2010 - Published in : Phys. Rev. E 81 (2010) 046112 APS Published version, local copy: PDF;

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