@Article{CMR-29-203, author = {Li , Zhimin and Geng , Jinhui}, title = {An Evolving Random Network and Its Asymptotic Structure}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {3}, pages = {203--217}, abstract = {

In this paper, we propose an evolving random network. The model is a linear combination of preferential attachment model and uniform model. We show that scaling limit distribution of the number of leaves at time $n$ is approximated by normal distribution and the proportional degree sequence obeys power law. The branching structure and maximum degree are also discussed in this paper.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19004.html} }