We present a self-stabilizing protocol for an overlay network that constructs the Minimum Spanning Tree (MST) for an underlay that is modeled by a weighted tree. The weight of an overlay edge between two nodes is the weighted length of their shortest path in the tree. We rigorously prove that our protocol works correctly under asynchronous and non-FIFO message delivery. Further, the protocol stabilizes after O(N2) asynchronous rounds where N is the number of nodes in the overlay.
Cite
@article{arxiv.1809.02436,
title = {On Underlay-Aware Self-Stabilizing Overlay Networks},
author = {Thorsten Götte and Christian Scheideler and Alexander Setzer},
journal= {arXiv preprint arXiv:1809.02436},
year = {2018}
}
Comments
A conference version of this paper was accepted at the 20th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS 2018)