Complex networks constructed from irrational number sequences
文献类型：期刊论文
| 作者 | Chen, Chen1,2; Lu, Jun-an1; Wu, Xiaoqun1 |
| 刊名 | Physica a-statistical mechanics and its applications
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000277824800019 |
| 出版者 | ELSEVIER SCIENCE BV |
| URI标识 | http://www.irgrid.ac.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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