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  Uniform Deterministic Self-Stabilizing Ring-Orientation on Odd-Length Rings (1994) [12 citations — 2 self]

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by J-h. Hoepman, Jaap-henk Hoepman
Proc. 8th Workshop on Distributed Algorithms, LNCS 857, Springer-Verlag
ftp://ftp.cwi.nl/pub/CWIreports/AA/CS-R9423.ps.Z
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Abstract:

The ring-orientation problem requires all processors on an anonymous ring to reach agreement on a direction along the ring. A self-stabilizing ring-orientation protocol eventually ensures that all processors on the ring agree on a direction, regardless of the initial states of the processors on which the protocol is started. In this paper we present two uniform deterministic self-stabilizing ring-orientation protocols for rings with an odd number of processors using only a constant number of states per processor. The first protocol is an adaption of a randomized protocol presented by Israeli and Jalfon [IJ93], and operates in the link-register model under the distributed daemon. The second protocol operates in the state-reading model under the central daemon, and complements the impossibility results proven in [IJ93]. Both protocols do not assume an upper-bound on the length of the ring, and are therefore applicable to dynamic rings. Applying our results we are able to prove that on an odd-length ring, the link-register model and the state-reading model are, in some sense, equivalent.

Citations

449 Self-Stabilizing Systems in Spite of Distributed Control – Dijkstra - 1974
145 Self Stabilization of Dynamic Systems Assuming Only Read/Write Atomicity – Dolev, Moran, et al. - 1990
122 Forward and backward simulations part I: Untimed systems – Lynch, Vaandrager - 1995
95 Uniform self-stabilizing rings – Burns, Pachl - 1989
76 Computing on an anonymous ring – Attiya, Snir, et al. - 1988
64 Self stabilization in spite of distributed control – Dijkstra - 1974
31 Sense of direction, topological awareness and communication complexity – Santoro - 1984
29 Self-stabilizing Ring Orientation – Israeli, Jalfon - 1990
23 Stabilization and pseudo-stabilization – Burns, Gouda, et al. - 1993
11 The instability of self-stabilization – Gouda, Howell, et al. - 1990
8 Self-Stabilizing Rings without Demons – Burns - 1987
5 A distributed ring orientation algorithm – Syrotiuk, Pachl - 1987