Research on self-similarity network group

The paper aims to clearify some of the self-similar nature of network group, which based on the fact that current research on network group tends to neglect its wide range of self-similarity. First, the Toeplitz matrices is introduced, because a self-similar network has the characteristics of obvious upper triangular or lower triangular Toeplitz matrix, which generalizes that the self-similar network group has exchangeable, reversibility and symmetry. We also studied the intersection and union set of self-similar local area network, then proposed that a self-similar network group is able to transfer of information faster. Simulation results show that self-similar network can transfer information much faster than BA network, which proves the correctness of the theory.