In recent ten years, much attention has been paid to the problem of evolving networks - a new area with many interdisciplinary applications in social- and econo- science among others. Rapid progress in computer abilities allows today to simulate networks of actors and agents with their complex behaviour.

In the paper we present the connectivity and distance matrix evolution for different types of networks: exponential, scale-free and random ones. Statistical and spectral properties of these matrices are included as well as topological features of the networks.