Abstract
Two silent self-stabilizing asynchronous distributed algorithms are given for the leader election problem in a dynamic network with unique IDs. A leader is elected for each connected component of the network. A BFS DAG, rooted at the leader, is constructed in each component. The construction takes O(Diam) rounds, where Diam is the maximum diameter of any component. Both algorithms are self-stabilizing, silent, and work under the unfair daemon, but use one unbounded integer variable. Algorithm DLE selects an arbitrary process to be the leader of each component. Algorithm DLEND (Distributed Leader Election No Dithering) has the incumbency property and the no dithering property. If the configuration is legitimate and a topological fault occurs, each component will elect, if possible, an incumbent to be its leader, i.e., a process which was a leader before the fault. Furthermore, during this computation, no process will change its choice of leader more than once.
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