Chin. Phys. Lett.  2009, Vol. 26 Issue (9): 098903    DOI: 10.1088/0256-307X/26/9/098903
CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
A Law of Gravitation for Complex Networks
YANG Zong-Chang
1School of Information and Electronical Engineering, Hunan University of Science and Technology, Xiangtan 4112012School of Electronic Information, Wuhan University, Wuhan 430072
Cite this article:   
YANG Zong-Chang 2009 Chin. Phys. Lett. 26 098903
Download: PDF(209KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Inspiring Newton's law of universal gravitation and empirical studies, we propose a concept of virtual network mass and network gravitational force in complex networks. Then a network gravitational model for complex networks is presented. In the model, each node in the network is described with its position, edges (links) and virtual network mass. The proposed model is examined by experiments to show its potential applications.
Keywords: 89.20.-a      89.75.-k      89.75.Hc      89.75.Da      89.20.Hh     
Received: 14 January 2009      Published: 28 August 2009
PACS:  89.20.-a (Interdisciplinary applications of physics)  
  89.75.-k (Complex systems)  
  89.75.Hc (Networks and genealogical trees)  
  89.75.Da (Systems obeying scaling laws)  
  89.20.Hh (World Wide Web, Internet)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/26/9/098903       OR      https://cpl.iphy.ac.cn/Y2009/V26/I9/098903
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
YANG Zong-Chang
[1] Albert R and Barab\'{asi A L 2002 Rev. Mod. Phys. 74 47
[2] Barab\'{asi A L et al 2003 Scientific American May 50
[3] Barab\'{asi A L 2005 Nature Phys. 1 68
[4] Newman M E J 2003 SIAM Rev. 45 167(http://arxiv.org/ abs/cond-mat/0303516)
[5] Watts D J 2003 Small Worlds: The Dynamics ofNetworks between Order and Randomness (Princeton: PrincetonUniversity)
[6] Strogatz S H 2001 Nature 410 268
[7] Wang X F et al 2003 IEEE Circuits Syst. Mag. 3 6
[8] Chen G R 2005 Complex Networks: Modeling, Controland Synchronization, Chinese Conference on Complex Networks (Wuhan,China, 9--10 April 2005) p 1 (http://www.sklse.org/whucn/cccn/Keynote/GRC{\_WuhanU.pdf)
[9] WHO 2002 Cumulative Number of Reported ProbableCases of SARS From 1 November 2002 to 11 July 2003, 17:00 GMT(http://www.who.int/csr/sars/country/ 2003{\_07{\_11/en/)
[10] Seminar D 2001 Link Analysis and Visualization(Dagstuhl 1--6 July 2001) http://vlado.fmf.uni-lj.si/pub/networks/doc/dagstuhl/football.htm
[11] Batagelj V and Mrvar A 2006 Pajek Datasetshttp://vlado. fmf.uni-lj.si/pub/networks/data
[12] Mp3INT.com 2006 http://www.mp3int.com/eng/tr.php, at11:11:30GMT October 30
[13] Mp3INT.com 2003 http://www.mp3int.com/eng/vp.php? vp=21,August 31
Related articles from Frontiers Journals
[1] 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): 098903
[2] LIU Xu,XIE Zheng,YI Dong-Yun**. Community Detection by Neighborhood Similarity[J]. Chin. Phys. Lett., 2012, 29(4): 098903
[3] 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): 098903
[4] 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): 098903
[5] DUAN Wen-Qi. Formation Mechanism of the Accumulative Magnification Effect in a Financial Time Series[J]. Chin. Phys. Lett., 2012, 29(3): 098903
[6] TIAN Liang, LIN Min. Relaxation of Evolutionary Dynamics on the Bethe Lattice[J]. Chin. Phys. Lett., 2012, 29(3): 098903
[7] REN Xue-Zao, YANG Zi-Mo, WANG Bing-Hong, ZHOU Tao. Mandelbrot Law of Evolving Networks[J]. Chin. Phys. Lett., 2012, 29(3): 098903
[8] 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): 098903
[9] 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): 098903
[10] GAO Zong-Mao, GU Jiao, LI Wei. Epidemic Spreading in a Multi-compartment System[J]. Chin. Phys. Lett., 2012, 29(2): 098903
[11] MENG Qing-Kuan**, ZHU Jian-Yang . Constrained Traffic of Particles on Complex Networks[J]. Chin. Phys. Lett., 2011, 28(7): 098903
[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): 098903
[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): 098903
[14] ZHAO Zhi-Dan, XIA Hu, SHANG Ming-Sheng**, ZHOU Tao, . Empirical Analysis on the Human Dynamics of a Large-Scale Short Message Communication System[J]. Chin. Phys. Lett., 2011, 28(6): 098903
[15] SHANG Yi-Lun . Local Natural Connectivity in Complex Networks[J]. Chin. Phys. Lett., 2011, 28(6): 098903
Viewed
Full text


Abstract