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	Complex networks constructed from irrational number sequences
	Chen, Chen1,2; Lu, Jun-an1; Wu, Xiaoqun1
刊名	Physica a-statistical mechanics and its applications
	2010-07-01
卷号	389期号:13页码:2654-2662
关键词	Complex network Irrational number sequence Topological property
ISSN号	0378-4371
DOI	10.1016/j.physa.2010.02.033
通讯作者	Wu, xiaoqun(wuxiaoqunjj@yahoo.com.cn)
英文摘要	In this paper, we construct (d, r) networks from sequences of different irrational numbers. in detail, segment an irrational number sequence of length m into groups of d digits which represent the nodes while two consecutive groups overlap by r digits (r = 0,1,...,d-1), and the undirected edges indicate the adjacency between two consecutive groups. (3, r) and (4, r) networks are respectively constructed from 14 different irrational numbers and their topological properties are examined. by observation, we find that network topologies change with different values of d, r and even sequence length m instead of the types of irrational numbers, although they share some similar features with traditional random graphs. we make a further investigation to explain these interesting phenomena and propose the identical-degree random graph model. the results presented in this paper provide some insight into distributions of irrational number digits that may help better understanding of the nature of irrational numbers. (c) 2010 elsevier by. all rights reserved.
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000277824800019
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2427992
专题	半导体研究所
通讯作者	Wu, Xiaoqun
作者单位	1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China 2.Chinese Acad Sci, Inst Semicond, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chen,Lu, Jun-an,Wu, Xiaoqun. Complex networks constructed from irrational number sequences[J]. Physica a-statistical mechanics and its applications,2010,389(13):2654-2662.
APA	Chen, Chen,Lu, Jun-an,&Wu, Xiaoqun.(2010).Complex networks constructed from irrational number sequences.Physica a-statistical mechanics and its applications,389(13),2654-2662.
MLA	Chen, Chen,et al."Complex networks constructed from irrational number sequences".Physica a-statistical mechanics and its applications 389.13(2010):2654-2662.

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