3 years ago

Bypass rewiring and extreme robustness of Eulerian networks.

Seungwon Shin, Sang Geun Hahn, Junsang Park

Bypass rewiring makes networks robust against removal of nodes including failures and attacks. A concept of bypass rewiring on directed networks is introduced, and random bypass rewiring on infinite directed random networks is analytically and numerically investigated with simulations. As a result, random bypass rewiring makes infinite directed (undirected) random networks extremely robust where every node, except finite nodes, has in-degree equal to the out-degree (even degree). In consequence, we derive a generalized result that a network has a strongly connected spanning subnetwork which has an Eulerian path or cycle if and only if there exists an way of bypass rewiring to make the network extremely robust for every combination of removed nodes.

Publisher URL: http://arxiv.org/abs/1710.11575

DOI: arXiv:1710.11575v1

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