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arXiv · 1607.00691

Mapping the Structure of Directed Networks: Beyond the "Bow-tie" Diagram

G. Timár·A. V. Goltsev·S. N. Dorogovtsev·J. F. F. Mendes
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Abstract

We reveal a hierarchical, multilayer organization of finite components -- i.e., tendrils and tubes -- around the giant connected components in directed networks and propose efficient algorithms allowing one to uncover the entire organization of key real-world directed networks, such as the World Wide Web, the neural network of \emph{Caenorhabditis elegans}, and others. With increasing damage, the giant components decrease in size while the number and size of tendril layers increase, enhancing the susceptibility of the networks to damage.

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G. Timár, A. V. Goltsev, S. N. Dorogovtsev, J. F. F. Mendes. 2017-02-16. Mapping the Structure of Directed Networks: Beyond the "Bow-tie" Diagram. https://doi.org/10.1103/physrevlett.118.078301

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