Giant components in directed multiplex networks.

@article{AzimiTafreshi2014GiantCI,
  title={Giant components in directed multiplex networks.},
  author={N. Azimi-Tafreshi and Sergey N. Dorogovtsev and Jos{\'e} F. F. Mendes},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={90 5-1},
  pages={
          052809
        }
}
We describe the complex global structure of giant components in directed multiplex networks that generalizes the well-known bow-tie structure, generic for ordinary directed networks. By definition, a directed multiplex network contains vertices of one type and directed edges of m different types. In directed multiplex networks, we distinguish a set of different giant components based on the existence of directed paths of different types between their vertices such that for each type of edges… 

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