2009•Acta Physica SinicaOpen access
The degree distribution of simple generalized collaboration networks
Zhao Qinggui, Xiangxing Kong, Hou Zhenting, (1)中南大学数学科学与计算技术学院,长沙 410075; (2)中南大学数学科学与计算技术学院,长沙 410075；重庆文理学院数学与统计学院，重庆 402160
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Abstract
We study three special cases of simple generalized collaboration networks， namely the preferential attachment, random attachment and mixed attachment networks. Based on Markov chain theory, we provide a rigorous proof for the existence of the steady-state degree distribution of the network generated by this model and obtain its corresponding exact formula. In particular, for mixed attachment, if it has preferential attachment, degree distribution of the network obeys power-law distribution, and it is a scale-free network.