We propose a kind of evolving network which shows tree structure. The model is a combination of preferential attachment model and uniform model. We show that the proportional degree sequence obeys power law, exponential distribution, and other forms according to the relation of and parameter .
Zhimin Li. Zhaolin He. Chunhua Hu. "Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network." Abstr. Appl. Anal. 2014 (SI38) 1 - 7, 2014. https://doi.org/10.1155/2014/761235