Chin. Phys. Lett.  2009, Vol. 26 Issue (11): 110502    DOI: 10.1088/0256-307X/26/11/110502
GENERAL |
Regular Small-World Network
ZOU Zhi-Yun1,2, MAO Bao-Hua2, HAO Hai-Ming1, GAO Jian-Zhi1, YANG Jie-Jiao1
1School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 4300742School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044
Cite this article:   
ZOU Zhi-Yun, MAO Bao-Hua, HAO Hai-Ming et al  2009 Chin. Phys. Lett. 26 110502
Download: PDF(1050KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract According to the deficiencies in Watts and Strogatz's small-world network model, we present a new regular model to establish the small-world network. Besides the property of the small-world, this model has other properties such as accuracy in controlling the average shortest path length L, and the average clustering coefficient C, also regular network topology as well as enhanced network robustness. This method improves the construction of the small-world network essentially, so that the regular small-world network closely resembles the actual network. We also present studies on the relationships among the quantities of a variety of edges, L and C in regular small-world network in detail. This research lays the foundation for the establishment of the regular small-world network and acts as a good guidanc
Keywords: 05.20.-y      05.90.+m      89.75.Hc     
Received: 25 February 2009      Published: 30 October 2009
PACS:  05.20.-y (Classical statistical mechanics)  
  05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)  
  89.75.Hc (Networks and genealogical trees)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/26/11/110502       OR      https://cpl.iphy.ac.cn/Y2009/V26/I11/110502
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
ZOU Zhi-Yun
MAO Bao-Hua
HAO Hai-Ming
GAO Jian-Zhi
YANG Jie-Jiao
[1] Wu G K and Zhao H 2008 Chin. Phys. Lett. 253871
[2] Chen J and Cui B T 2008 Chin. Phys. Lett. 253894
[3] Kauffman S A 1969 J. Theor. Biol. 22 437
[4] Yang H X and Wang B H 2008 Chin. Phys. Lett. 25 3504
[5] Gerhardt M and Schuster H 1990 Science 2471563
[6] Braiman Y and Lindner J F 1995 Nature 378 465
[7] Wiesenfeld K 1996 Physica B 222 315
[8] Strogatz S H and Stewart I 1993 Sci. Am 269102
[9] ressloff P C and Coombes S 1997 Phys. Rev. Lett. 79 2791
[10] Gao Z Y and Li K P 2005 Chin. Phys. Lett. 222711
[11] Kerner B S and Rehborn H 1997 Phys. Rev. Lett. 79 4030
[12] Helbing D 1995 Phys. Rev. E 51 4030
[13] Milgram S 1967 Psychol. Today 2 60
[14] Dai J and He D R 2007 Chin. Phys. Lett. 243355
[15] Hua D Y 2009 Chin. Phys. Lett. 26 018901
[16] Shen Y and Zhu D L 2005 Chin. Phys. Lett. 221281
[17] Watts D J and Strogatz S H 1998 Nature 393440
[18] Holme P and Kim B J 2002 Phys. Rev. E 65056109
Related articles from Frontiers Journals
[1] GE Hong-Xia,YU Jian,LO Siu-Ming**. A Control Method for Congested Traffic in the Car-Following Model[J]. Chin. Phys. Lett., 2012, 29(5): 110502
[2] FANG Ci-Jun,LIU Xian-Bin**. Theoretical Analysis on the Vibrational Resonance in Two Coupled Overdamped Anharmonic Oscillators[J]. Chin. Phys. Lett., 2012, 29(5): 110502
[3] QI Kai,TANG Ming**,CUI Ai-Xiang,FU Yan. The Slow Dynamics of the Zero-Range Process in the Framework of the Traps Model[J]. Chin. Phys. Lett., 2012, 29(5): 110502
[4] LIU Xu,XIE Zheng,YI Dong-Yun**. Community Detection by Neighborhood Similarity[J]. Chin. Phys. Lett., 2012, 29(4): 110502
[5] LI Ping, ZHANG Jie, XU Xiao-Ke, SMALL Michael. Dynamical Influence of Nodes Revisited: A Markov Chain Analysis of Epidemic Process on Networks[J]. Chin. Phys. Lett., 2012, 29(4): 110502
[6] XIE Zheng, YI Dong-Yun, OUYANG Zhen-Zheng, LI Dong. Hyperedge Communities and Modularity Reveal Structure for Documents[J]. Chin. Phys. Lett., 2012, 29(3): 110502
[7] TIAN Liang, LIN Min. Relaxation of Evolutionary Dynamics on the Bethe Lattice[J]. Chin. Phys. Lett., 2012, 29(3): 110502
[8] REN Xue-Zao, YANG Zi-Mo, WANG Bing-Hong, ZHOU Tao. Mandelbrot Law of Evolving Networks[J]. Chin. Phys. Lett., 2012, 29(3): 110502
[9] ZHU Zi-Qi, JIN Xiao-Ling, HUANG Zhi-Long. Search for Directed Networks by Different Random Walk Strategies[J]. Chin. Phys. Lett., 2012, 29(3): 110502
[10] SUN Mei, CHEN Ying, CAO Long, WANG Xiao-Fang. Adaptive Third-Order Leader-Following Consensus of Nonlinear Multi-agent Systems with Perturbations[J]. Chin. Phys. Lett., 2012, 29(2): 110502
[11] WANG Can-Jun** . Vibrational Resonance in an Overdamped System with a Sextic Double-Well Potential[J]. Chin. Phys. Lett., 2011, 28(9): 110502
[12] SUN Wei-Gang, , CAO Jian-Ting, WANG Ru-Bin** . Approach of Complex Networks for the Determination of Brain Death[J]. Chin. Phys. Lett., 2011, 28(6): 110502
[13] LI Jun, WU Jun**, LI Yong, DENG Hong-Zhong, TAN Yue-Jin** . Optimal Attack Strategy in Random Scale-Free Networks Based on Incomplete Information[J]. Chin. Phys. Lett., 2011, 28(6): 110502
[14] SHANG Yi-Lun . Local Natural Connectivity in Complex Networks[J]. Chin. Phys. Lett., 2011, 28(6): 110502
[15] CAO Xian-Bin, DU Wen-Bo, **, CHEN Cai-Long, ZHANG Jun . Effect of Adaptive Delivery Capacity on Networked Traffic Dynamics[J]. Chin. Phys. Lett., 2011, 28(5): 110502
Viewed
Full text


Abstract