Title :
Wigner-noise on random matrices with remarkable linear structure (applicable to cellular networks)
Author_Institution :
Budapest Univ. of Technol. & Econ.
Abstract :
Spectra and representations of some special weighted graphs are investigated with weight matrices consisting of homogeneous blocks. It is proved that a random perturbation of the weight matrix with a "Wigner-noise" not have an effect on the order of the protruding eigenvalues and the representatives of the vertices unveil the underlying block-structure. Such random graphs adequately describe some biological and communication networks, the vertices of which belong either to loosely connected strata or to clusters with homogeneous edge-densities between any two of them
Keywords :
Gaussian distribution; Wigner distribution; eigenvalues and eigenfunctions; graph theory; matrix algebra; random noise; random processes; spectral analysis; Wigner-noise; biological networks; blown up graph; cellular networks; communication networks; eigenvalues perturbation; linear structure; random graphs; random matrix; weighted graph spectrum; Eigenvalues and eigenfunctions; Genetic mutations; H infinity control; Land mobile radio cellular systems; Matrix decomposition; Random variables; Reactive power; Social network services; Symmetric matrices;
Conference_Titel :
Information Technology Interfaces, 2004. 26th International Conference on
Conference_Location :
Cavtat
Print_ISBN :
953-96769-9-1
