A Study on Scale Free Social Network Evolution Model with Degree Exponent < 2

doi:10.1007/s11424-020-8007-5

	A Study on Scale Free Social Network Evolution Model with Degree Exponent < 2
	Li, Zhenpeng 2; Tang, Xijin 1,3
刊名	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
	2020-02-01
卷号	33 期号:1 页码:87-99
关键词	Poisson distribution scale-free network social network
ISSN号	1009-6124
DOI	10.1007/s11424-020-8007-5
英文摘要	Inspired by real world phenomena, in this paper, the authors present a power law evolutional network model with degree exponent beta < 2. Combinatorial probabilistic method is applied to the theoretical analysis of the presented model. In the proposed model, each time stamp the number of links among a newly added node and old ones follows Poisson distribution with parameter lambda and selection probability p. The authors derive exact analytical relationship between the exponent of the power law beta, the parameters lambda and p. Simulation result is consistent with the exponent beta analytical solution. Both theoretical analysis and simulation results show that the presented network evolution model has two obvious real world social network characteristics, degree exponent beta < 2 and bending phenomena.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000520177000007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51016]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Zhenpeng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Dali Univ, Sch Math & Comp Sci, Dali 671003, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Li, Zhenpeng,Tang, Xijin. A Study on Scale Free Social Network Evolution Model with Degree Exponent < 2[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2020,33(1):87-99.
APA	Li, Zhenpeng,&Tang, Xijin.(2020).A Study on Scale Free Social Network Evolution Model with Degree Exponent < 2.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,33(1),87-99.
MLA	Li, Zhenpeng,et al."A Study on Scale Free Social Network Evolution Model with Degree Exponent < 2".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 33.1(2020):87-99.