Self-stabilizing Cuts in Synchronous Networks

Consider a synchronized distributed system where each node can only observe the state of its neighbors. Such a system is called selfstabilizing if it reaches a stable global state in a finite number of rounds. Allowing two different states for each node induces a cut in the network graph. In each round, every node decides whether it is (locally) satisfied with the current cut. Afterwards all unsatisfied nodes change sides independently with a fixed probability p. Using different notions of satisfaction enables the computation of maximal and minimal cuts, respectively. We analyze the expected time until such cuts are reached on several graph classes and consider the impact of the parameter p and the initial cut.

• Type: Conference
• Year: 2008
• Where: SIROCCO
• Authors: Thomas Sauerwald, Dirk Sudholt
• Keywords: Information Technology, Node, Nodes Change Sides, SIROCCO 2008, Stable Global State