Self-stabilizing Population Protocols
Self-stabilization in a model of anonymous, asynchronous interacting agents deployed in a network of unknown size is considered. Dijkstra-style round-robin token circulation can be done deterministically with constant space per node in this model. Constant-space protocols are given for leader election in rings, local-addressing in degree-bounded graphs, and establishing consistent global direction in an undirected ring. A protocol to construct a spanning tree in regular graphs using O(logD) memory is also given, where D is the diameter of the graph. A general method for eliminating nondeterministic transitions from the self-stabilizing implementation of a large family of behaviors is used to simplify the constructions, and general conditions under which protocol composition preserves behavior are used in proving their correctness.
KeywordsSpan Tree Regular Graph Interaction Graph Leader Election Output Trace
Unable to display preview. Download preview PDF.
- 1.Angluin, D., Aspnes, J., Diamadi, Z., Fischer, M.J., Peralta, R.: Computation in networks of passively mobile finite-state sensors. In: Twenty-Third ACM Symposium on Principles of Distributed Computing, pp. 290–299 (2004)Google Scholar
- 4.Mayer, A., Ofek, Y., Ostrovsky, R., Yung, M.: Self-stabilizing symmetry breaking in constant-space (extended abstract). In: Proc. 24th ACM Symp. on Theory of Computing, pp. 667–678 (1992)Google Scholar
- 5.Itkis, G., Lin, C., Simon, J.: Deterministic, constant space, self-stabilizing leader election on uniform rings. In: Workshop on Distributed Algorithms, pp. 288–302 (1995)Google Scholar
- 6.Higham, L., Myers, S.: Self-stabilizing token circulation on anonymous message passing rings. Technical report, University of Calgary (1999)Google Scholar
- 7.Johnen, C.: Bounded service time and memory space optimal self-stabilizing token circulation protocol on unidirectional rings. In: Procedings of the 18th International Parallel and Distributed Processing Symposium, p. 52a (2004)Google Scholar
- 10.Beauquier, J., Gradinariu, M., Johnen, C.: Memory space requirements for self-stabilizing leader election protocols. In: Eighteenth ACM Symposium on Principles of Distributed Computing, pp. 199–207 (1999)Google Scholar
- 15.Moscibroda, T., Wattenhofer, R.: Coloring unstructured radio networks. In: Proceedings of the 17th annual ACM symposium on Parallelism in algorithms and architectures, pp. 39–48. ACM Press, New York (2005)Google Scholar