An Exponential Distribution Complex Network Model Constructed by Degree Sequence Length Iteration

Many real world complex networks possess exponential degree distribution with the characteristics of small length and self-similar. To better understand the formation mechanism of exponential distribution network, and make it more direct to reveal the change of degree sequence and the dynamic relationship among nodes in the process of network formation, we propose a deterministic iterative algorithm based on increasing degree sequence length and network self-replication and generate a complex network model. We analyze the main attributes of the network model by both theoretical derivation and numerical simulation. The simulation results are well consistent with the theoretical predictions and show that our network model has a low average distance, an arithmetic degree sequence and follows an exponential degree distribution.