swMATH ID: 35976
Software Authors: Pandurangan, Gopal; Trehan, Amitabh
Description: Xheal: a localized self-healing algorithm using expanders. We consider the problem of self-healing in reconfigurable networks e.g., peer-to-peer and wireless mesh networks. For such networks under repeated attack by an omniscient adversary, we propose a fully distributed algorithm, Xheal, that maintains good expansion and spectral properties of the network, while keeping the network connected. Moreover, Xheal does this while allowing only low stretch and degree increase per node. The algorithm heals global properties like expansion and stretch while only doing local changes and using only local information. We also provide bounds on the second smallest eigenvalue of the Laplacian which captures key properties such as mixing time, conductance, congestion in routing etc. Xheal has low amortized latency and bandwidth requirements. Our work improves over the self-healing algorithms “Forgiving tree” and “Forgiving graph” in that we are able to give guarantees on degree and stretch, while at the same time preserving the expansion and spectral properties of the network.
Homepage: https://arxiv.org/abs/1104.0882
Keywords: self-healing; reconfigurable networks; peer-to-peer; local versus global; expansion; spectral properties; distributed algorithm; randomized algorithm
Related Software: Skype; BATON
Cited in: 8 Publications

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