Optimal navigation for characterizing the role of the nodes in complex networks
AbstractIn 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 389 (2010)
Issue (Month): 9 ()
Contact details of provider:
Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
Centrality measures; Complex networks; Dynamic programming; Navigation;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Giulia Iori & Roberto Reno' & Giulia De Masi & Guido Caldarelli, 2006.
"Trading strategies in the Italian interbank market,"
- 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.
- Iori, G. & Reno, R. & de Masi, G. & Caldarelli, G., 2006. "Trading strategies in the Italian interbank market," Working Papers 06/03, Department of Economics, City University London.
- Matthew O. Jackson & Brian W. Rogers, 2005.
"The Economics of Small Worlds,"
Journal of the European Economic Association,
MIT Press, vol. 3(2-3), pages 617-627, 04/05.
- Jackson, Matthew O. & Rogers, Brian W., 2005. "The economics of small worlds," Working Papers 1214, California Institute of Technology, Division of the Humanities and Social Sciences.
- Matthew O. Jackson & Brian W. Rogers, 2005. "The Economics of Small Worlds," Game Theory and Information 0503004, EconWPA.
- Zhou, Tao, 2008. "Mixing navigation on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 3025-3032.
- 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.
- B. Tadić, 2001. "Adaptive random walks on the class of Web graphs," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, 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.
- 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, vol. 58(4), pages 469-474, 08.
- 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.
- 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.
- Guimerà, Roger & Díaz-Guilera, Albert & Vega-Redondo, Fernando & Cabrales, Antonio & Arenas, Àlex, . "Optimal network topologies for local search with congestion," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/3654, Universidad Carlos III de Madrid.
- Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer, vol. 31(4), pages 581-603, December.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.