Complex networks constructed from irrational number sequences

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	Complex networks constructed from irrational number sequences
	Chen C (Chen Chen) ; Lu JA (Lu Jun-an) ; Wu XQ (Wu Xiaoqun)
刊名	physica a-statistical mechanics and its applications
	2010
卷号	389 期号:13 页码:2654-2662
关键词	Complex network Irrational number sequence Topological property
通讯作者	wu, xq, wuhan univ, sch math & stat, wuhan 430072, hubei, peoples r china. 电子邮箱地址: wuxiaoqunjj@yahoo.com.cn
合作状况	国内
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.; submitted by 阎军 (yanj@red.semi.ac.cn) on 2010-06-05t07:42:37z no. of bitstreams: 1 complex networks constructed from irrational number sequences.pdf: 491660 bytes, checksum: f60954620d138bd1a5b9fa9ee0e2ec03 (md5); approved for entry into archive by 阎军(yanj@red.semi.ac.cn) on 2010-06-05t07:47:24z (gmt) no. of bitstreams: 1 complex networks constructed from irrational number sequences.pdf: 491660 bytes, checksum: f60954620d138bd1a5b9fa9ee0e2ec03 (md5); made available in dspace on 2010-06-05t07:47:24z (gmt). no. of bitstreams: 1 complex networks constructed from irrational number sequences.pdf: 491660 bytes, checksum: f60954620d138bd1a5b9fa9ee0e2ec03 (md5) previous issue date: 2010; the authors wish to thank the anonymous reviewer for the helpful comments and suggestions. this work is supported in part by the chinese national natural science foundation (grant nos. 70771084, 60804039, and 60974081), in part by the national basic research 973 program of china under grant no. 2007cb310805, and in part by the doctoral fund of ministry of education of china under grant no. 200804861072.; 国内
学科主题	人工智能
收录类别	SCI
资助信息	the authors wish to thank the anonymous reviewer for the helpful comments and suggestions. this work is supported in part by the chinese national natural science foundation (grant nos. 70771084, 60804039, and 60974081), in part by the national basic research 973 program of china under grant no. 2007cb310805, and in part by the doctoral fund of ministry of education of china under grant no. 200804861072.
语种	英语
公开日期	2010-06-05 ; 2010-10-15
内容类型	期刊论文
源URL	[http://ir.semi.ac.cn/handle/172111/11281]
专题	半导体研究所_半导体人工神经网络实验室
推荐引用方式 GB/T 7714	Chen C ,Lu JA ,Wu XQ . Complex networks constructed from irrational number sequences[J]. physica a-statistical mechanics and its applications,2010,389(13):2654-2662.
APA	Chen C ,Lu JA ,&Wu XQ .(2010).Complex networks constructed from irrational number sequences.physica a-statistical mechanics and its applications,389(13),2654-2662.
MLA	Chen C ,et al."Complex networks constructed from irrational number sequences".physica a-statistical mechanics and its applications 389.13(2010):2654-2662.