Composite centrality: A natural scale for complex evolving networks

Physica D: Nonlinear Phenomena

Volumn 267, Issue , 2014, Pages 58-67

  Joseph, A C ^a   Chen, G ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Complex system; Evolving network; Unified scale; Weighted directed network; World migration web; World trade web

Indexed keywords

INTERNATIONAL TRADE; LARGE SCALE SYSTEMS; NORMAL DISTRIBUTION; SCALES (WEIGHING INSTRUMENTS);

DIRECTED NETWORK; EVOLVING NETWORKS; UNIFIED SCALE; WORLD MIGRATION WEB; WORLD TRADE WEBS;

COMPLEX NETWORKS;

EID: 84889089829     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2013.08.005     Document Type: Article

References (36)

1. D.J. Watts, and S.H. Strogatz Collective dynamics of 'small-world' networks Nature 393 1998 440 442 (Pubitemid 28292183)
2. A.L. Barabási, and R. Albert Emergence of scaling in random networks Science 286 1999 509 512
3. M.E.J. Newman, and D.J. Watts Renormalization group analysis of the small-world network model Phys. Lett. A 263 1999 341 346
4. M.E.J. Newman Networks: An Introduction 2010 Oxford University Press New York
5. G. Chen Introduction to Complex Networks: Models, Structures and Dynamics 2012 Higher Education Press Beijing
6. E. Estrada Network Science 2010 Springer New York
7. J.L. Gross, and J. Yellen Graph Theory and its Applications 2006 Chapman & Hall/CRC Boca Raton, USA
8. F.R.K. Chung Spectral Graph Theory 1997 American Mathematical Soc.
9. P. Erdös, and A. Rényi On the evolution of random graphs Publ. Math. Inst. Hungar. Acad. Sci. 5 1960 17 61
10. F. Xie, and D.M. Levinson Evolving Transportation Networks 2011 Springer New York
11. D. Garlaschelli Interplay between topology and dynamics in the world trade web Eur. Phys. J. B 57 2007 159 164 (Pubitemid 46915394)
12. J.A. Reyes Using complex networks analysis to assess the evolution of international economic integration: the cases of East Asia and Latin America J. Int. Trade Econ. Dev. 19 2010 215 239
13. J. Donges Nonlinear detection of paleoclimate-variability transitions possibly related to human evolution Proc. Natl. Acad. Sci. 108 2011 20422 20427
14. E.R. Colman, and G.J. Rodgers Kinetics of node splitting in evolving complex networks Physica A 391 2012 6626 6631
15. W. Miura Effect of coagulation of nodes in an evolving complex network Phys. Rev. Lett. 108 2012 168701
16. M. Spencer Multiscale evolving complex network model of functional connectivity in neuronal cultures IEEE Trans. Biomed. Eng. 59 2012 30 34
17. J. Fang Toward a harmonious unifying hybrid model for any evolving complex networks Adv. Complex Syst. 10 2007 117 141
18. M. Rao Modeling and simulation of net centric system of systems using systems modeling language and colored petri-nets: a demonstration using the global earth observation system of systems Syst. Eng. 11 2008 203 220
19. S.P. Borgatti Centrality and network flow Social Networks 27 2005 55 71 (Pubitemid 40272649)
20. S.P. Borgatti, and M.G. Everett A graph-theoretic perspective on centrality Social Networks 28 2006 466 484 (Pubitemid 44089303)
21. A. Jamakovic, and P. Van Mieghem On the robustness of complex networks by using the algebraic connectivity Proceedings of the 7th International IFIP-TC6 Networking Conference on AdHoc and Sensor Networks, Wireless Networks, Next Generation Internet NETWORKING'08 2008 Springer Berlin 183 194 (Pubitemid 351775370)
22. G.E.P. Box, and D.R. Cox An analysis of transformations J. R. Stat. Soc. Ser. B Stat. Methodol. 26 1964 211 252
23. R.M. Sakia The Box-Cox transformation technique: a review J. R. Stat. Soc. Ser. D 41 1992 169 178
24. P. Billingsley, Probability & Measure, Hoboken, USA, 2012.
25. S. Ross Introduction to Probability Models 2009 Elsevier Science Oxford, UK
26. United Nations Statistics Division, United Nations Commodity Trade Statistics Database (UN Comtrade), 2012. http://comtrade.un.org.
27. The World Bank, Global bilateral migration database, 2012.
28. UN data, Inflation, GDP deflator (annual in percent), 2013. http://data.un.org.
29. UN data, Population growth rate (percentage), 2013. http://data.un.org.
30. A. Clauset Power-law distributions in empirical data SIAM Rev. 51 2009 661 703
31. United Nations Population Division, Department of Economic and Social Affaiers (POP/DB/WPP/Rev.2010/04/F01A), 2012. http://esa.un.org/unpd/wpp/Excel- Data/population.htm.
32. H. Stoegbauer Least dependent component analysis based on mutual information Phys. Rev. E 70 2004
33. G. van Rossum Python library reference, CWI Technical Report CS-R 9523 1995 CWI
34. F. Pérez, and B.E. Granger IPython: a system for interactive scientific computing Comput. Sci. Eng. 9 2007 21 29 http://ipython.org (Pubitemid 46646861)
35. A.A. Hagberg, et al. Exploring network structure, dynamics, and function using NetworkX, in: Proceedings of the 7th Python in Science Conference, SciPy2008, Pasadena, CA, USA, 2008, pp. 11-15.
36. E. Jones, et al. SciPy: open source scientific tools for Python, 2001.