Optimal navigation for characterizing the role of the nodes in complex networks
In this paper, we explore how the approach of optimal navigation (Cajueiro (2009) ) can be used to evaluate the centrality of a node and to characterize its role in a network. Using the subway network of Boston and the London rapid transit rail as proxies for complex networks, we show that the centrality measures inherited from the approach of optimal navigation may be considered if one desires to evaluate the centrality of the nodes using other pieces of information beyond the geometric properties of the network. Furthermore, evaluating the correlations between these inherited measures and classical measures of centralities such as the degree of a node and the characteristic path length of a node, we have found two classes of results. While for the London rapid transit rail, these inherited measures can be easily explained by these classical measures of centrality, for the Boston underground transportation system we have found nontrivial results.
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Volume (Year): 389 (2010)
Issue (Month): 9 ()
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- Iori, G. & Reno, R. & de Masi, G. & Caldarelli, G., 2006.
"Trading strategies in the Italian interbank market,"
06/03, Department of Economics, City University London.
- Iori, Giulia & Renò, Roberto & De Masi, Giulia & Caldarelli, Guido, 2007. "Trading strategies in the Italian interbank market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 467-479.
- Giulia Iori & Roberto Reno' & Giulia De Masi & Guido Caldarelli, 2006. "Trading strategies in the Italian interbank market," Papers physics/0611023, arXiv.org.
- E. P. Borges & D. O. Cajueiro & R. F.S. Andrade, 2007. "Mapping dynamical systems onto complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 58(4), pages 469-474, 08.
- Zhou, Tao, 2008. "Mixing navigation on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 3025-3032.
- Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer;The Psychometric Society, vol. 31(4), pages 581-603, December.
- Matthew O. Jackson & Brian W. Rogers, 2005.
"The Economics of Small Worlds,"
Game Theory and Information
- Latora, Vito & Marchiori, Massimo, 2002. "Is the Boston subway a small-world network?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 109-113.
- B. Tadić, 2001. "Adaptive random walks on the class of Web graphs," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 23(2), pages 221-228, September.
- Tadić, Bosiljka & Thurner, Stefan, 2005. "Search and topology aspects in transport on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(1), pages 183-190.
- Cajueiro, Daniel O. & Tabak, Benjamin M., 2008.
"The role of banks in the Brazilian interbank market: Does bank type matter?,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 387(27), pages 6825-6836.
- Daniel O. Cajueiro & Benjamin M. Tabak, 2007. "The role of banks in the Brazilian Interbank Market: Does bank type matter?," Working Papers Series 130, Central Bank of Brazil, Research Department.
- Porta, Sergio & Crucitti, Paolo & Latora, Vito, 2006. "The network analysis of urban streets: A dual approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 853-866.
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