TY - JOUR
T1 - An Evolving Random Network and Its Asymptotic Structure
AU - Li , Zhimin
AU - Geng , Jinhui
JO - Communications in Mathematical Research 
VL - 3
SP - 203
EP - 217
PY - 2021
DA - 2021/05
SN - 29
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19004.html
KW - random network, scale-free graph, degree sequence.
AB - <p style="text-align: justify;">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.</p>