The degree distribution of fixed act-size collaboration networks

Pramana

Zhenting Hou1¹  Xiangxing Kong¹  Qinggui Zhao1¹ 

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

关键词: Fixed act-size collaboration networks;    Markov chain;    first-passage probability;    scale-free;    degree distribution.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we investigate a special evolving model of collaboration net-works, where the act-size is fixed. Based on the first-passage probability of Markov chain theory, this paper provides a rigorous proof for the existence of a limiting degree distribution of this model and proves that the degree distribution obeys the power-law form with the exponent adjustable between 2 and 3.

【 授权许可】

Unknown