Self-Stabilizing Topology Maintenance Protocols for High-Speed Networks

Hosame Abu-Amara, Brian A. Coan, Shlomi Dolev, Arkady Kanevsky, and Jennifer L. Welch

Two self-stabilizing topology maintenance protocols for high speed networks are presented. The protocols tolerate any number and kind of initial faults. The new protocols improve on previous protocols by their stabilization time (the amount of time following the last topology change required to notify every processor of the correct topology), by their utilization of limited switch bandwidth, and by their avoiding the use of unbounded sequence numbers. The first protocol stabilizes in O(log d) time in the worst case, where d is the diameter of the network. This protocol imposes a high bandwidth requirement on individual network nodes. The second, which is implemented by two software layers, reduces the processing load on individual nodes and stabilizes within O(d) time in the worst case and O(1) time when changes are infrequent.