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Characterization and modeling of weighted networks

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  • Barthélemy, Marc
  • Barrat, Alain
  • Pastor-Satorras, Romualdo
  • Vespignani, Alessandro
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    Abstract

    We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network which are representatives of critical infrastructure and social system, respectively. The main empirical results are (i) the broad distributions of various quantities and (ii) the existence of weight-topology correlations. These measurements show that weights are relevant and that in general the modeling of complex networks must go beyond topology. We review a model which provides an explanation for the features observed in several real-world networks. This model of weighted network formation relies on the dynamical coupling between topology and weights, considering the rearrangement of new links are introduced in the system.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104011598
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 346 (2005)
    Issue (Month): 1 ()
    Pages: 34-43

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    Handle: RePEc:eee:phsmap:v:346:y:2005:i:1:p:34-43

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Disordered system; Networks;

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    Cited by:
    1. Jia, Tao & Jiang, Bin, 2012. "Building and analyzing the US airport network based on en-route location information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 4031-4042.
    2. Arribas, Iván & Pérez, Francisco & Tortosa-Ausina, Emili, 2009. "The determinants of international financial integration revisited: the role of networks and geographic neutrality," MPRA Paper 18717, University Library of Munich, Germany.
    3. Santiago, A. & Benito, R.M., 2009. "Local affinity in heterogeneous growing networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2941-2948.
    4. Tabak, Benjamin M. & Serra, Thiago R. & Cajueiro, Daniel O., 2009. "The expectation hypothesis of interest rates and network theory: The case of Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1137-1149.
    5. Buesser, Pierre & Peña, Jorge & Pestelacci, Enea & Tomassini, Marco, 2011. "The influence of tie strength on evolutionary games on networks: An empirical investigation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4502-4513.
    6. Giorgio Fagiolo, 2009. "The International-Trade Network: Gravity Equations and Topological Properties," LEM Papers Series 2009/08, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    7. Tim Hellmann & Mathias Staudigl, 2012. "Evolution of Social networks," Working Papers 470, Bielefeld University, Center for Mathematical Economics.
    8. Tabak, Benjamin M. & Serra, Thiago R. & Cajueiro, Daniel O., 2010. "Topological properties of stock market networks: The case of Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3240-3249.
    9. 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.
    10. Franco, Chiara & Montresor, Sandro & Vittucci Marzetti, Giuseppe, 2011. "On indirect trade-related R&D spillovers: The "Average Propagation Length" of foreign R&D," Structural Change and Economic Dynamics, Elsevier, vol. 22(3), pages 227-237, September.
    11. Ruskin, Heather J. & Burns, John, 2006. "Weighted networks in immune system shape space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 549-555.
    12. Giorgio Fagiolo & Javier Reyes & Stefano Schiavo, 2007. "The Evolution of the World Trade Web," LEM Papers Series 2007/17, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.

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