A Scale-Free Small-World Network from Durer Pentagons

The complex network is a focus among the research on the complex systems today. In this paper, we propose a deterministic network called Durer networks arising from the Durer pentagons. It is revealed that the tail of the degree distribution follows a power law, the cluster coefficient of the network is high and the diameter of the network increases by the logarithm of the nodes number. The above properties illustrate that the Durer networks are scale-free small-world networks just like most real-world networks.