Degree distribution of a new model for evolving networks

Pramana

Qinggui Zhao¹  Xuan Zhang1¹ 

[1] School of Mathematics, Central South University, Changsha 410075, China$$

关键词: Evolving networks;    degree distribution;    Markov chain;    scale-free network.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We propose and study an evolving network model with both preferential and random attachments of new links, incorporating the addition of new nodes, new links, and the removal of links. We first show that the degree evolution of a node follows a nonhomogeneous Markov chain. Based on the concept of Markov chain, we provide the exact solution of the degree distribution of this model and show that the model can generate scale-free evolving network.

【 授权许可】

Unknown