Information Transport in 2-Port Cell Networks

Abstract

A summary approach in the determination of eigenvalues and eigenvectors of transport of information fields in 2-port cell networks, is presented. The dispersion relation whose nodes constitute the eigenvalues is formed as a sum of diagrams which topologically are mapped 1-1 to the graphs of our paper. We find the matrix representation of these graphs, as an Abelian semigroup of the Boolean matrices formed by all the possible graphs of this kind. We also find the algebra that distinguishes the class of these matrices from the rest of the general Boolean matrices. Generalization of these symmetry properties for n-port cell finite networks is currently being investigated. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)