Self-Stabilizing Depth-First Token Passing on Rooted Networks

We present a deterministic distributed depth rst token passing protocol on a rooted network This protocol does not use either the processor identi ers or the size of the network but as sumes the existence of a distinguished processor called the root of the network The protocol is self stabilizing meaning that starting from an arbitrary state in response to an arbitrary perturbation modifying the memory state it is guaranteed to reach a state with no more than one token in the network The protocol implements a strictly fair token circulation during a round every processor obtains the token exactly once The proposed protocol has extremely small memory requirement only O bits of memory per incident network link