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Directionality of real world networks as predicted by path length in directed and undirected graphs

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  • Rosen, Yonatan
  • Louzoun, Yoram

Abstract

Many real world networks either support ordered processes, or are actually representations of such processes. However, the same networks contain large strong connectivity components and long circles, which hide a possible inherent order, since each vertex can be reached from each vertex in a directed path. Thus, the presence of an inherent directionality in networks may be hidden. We here discuss a possible definition of such a directionality and propose a method to detect it.

Suggested Citation

  • Rosen, Yonatan & Louzoun, Yoram, 2014. "Directionality of real world networks as predicted by path length in directed and undirected graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 118-129.
    • Handle: RePEc:eee:phsmap:v:401:y:2014:i:c:p:118-129
    DOI: 10.1016/j.physa.2014.01.005
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    References listed on IDEAS

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    1. Billio, Monica & Getmansky, Mila & Lo, Andrew W. & Pelizzon, Loriana, 2012. "Econometric measures of connectedness and systemic risk in the finance and insurance sectors," Journal of Financial Economics, Elsevier, vol. 104(3), pages 535-559.
    2. Alessandro Vespignani, 2010. "The fragility of interdependency," Nature, Nature, vol. 464(7291), pages 984-985, April.
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