Spectral analysis and the dynamic response of complex networks

• Published in: Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 71; no. 1 Pt 2; p. 016106
• Main Authors: de Aguiar, M A M, Bar-Yam, Y
• Format: Journal Article
• Language: English
• Published: United States 01.01.2005

The eigenvalues and eigenvectors of the connectivity matrix of complex networks contain information about its topology and its collective behavior. In particular, the spectral density rho(lambda) of this matrix reveals important network characteristics: random networks follow Wigner's semicircu...