Abstract
In this paper we propose a new self-stabilizing distributed algorithm for minimal domination protocol in an arbitrary network graph using the synchronous model; the proposed protocol is general in the sense that it can stabilize with every possible minimal dominating set of the graph.
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References
Abu-Amara, H., Coan, B., Dolev, S., Kanevsky, A., Welch, J.L.: Self stabilizing topology maintenance protocols for high-speed networks. IEEE/ACM Transactions on Networking 4(6), 902–912 (1996)
Afek, Y., Dolev, S.: Local stabilizer. In: Proceedings of the 5th Israeli Symposium on Theory of Computing and Systems, pp. 74–84 (1997)
Attiya, H., Welch, J.: Distributed Computing: Fundamentals. Simulations and Advanced Topics. McGraw-Hill, New York (1998)
Beauquier, J., Datta, A.K., Gradinariu, M., Magniette, F.: Self-stabilizing local mutual exclusion and daemon refinement. In: Herlihy, M.P. (ed.) DISC 2000. LNCS, vol. 1914, pp. 223–237. Springer, Heidelberg (2000)
Dijkstra, E.W.: Self-stabilizing systems in spite of distributed control. Communications of the ACM 17(11), 643–644 (1974)
Dijkstra, E.W.: A belated proof of self-stabilization. Distributed Computing 1(1), 5–6 (1986)
Dolev, S.: Self-Stabilization. MIT Press, Cambridge (2000)
Dolev, S., Pradhan, D.K., Welch, J.L.: Modified tree structure for location management in mobile environments. Computer Communications 19, 335–345 (1996)
Dolev, S., Welch, J.L.: Crash resilient communication in dynamic networks. IEEE Transactions on Computers 14, 14–26 (1997)
Fujita, S., Kameda, T., Yamashita, M.: A resource assignment problem on graphs. In: Proceedings of the 6th International Symposium on Algorithms and Computation, Cairns, Australia, December 1995, pp. 418–427 (1995)
Gupta, S.K.S., Bouabdallah, A., Srimani, P.K.: Self-stabilizing protocol for shortest path tree for multi-cast routing in mobile networks. In: Bode, A., Ludwig, T., Karl, W.C., Wismüller, R. (eds.) Euro-Par 2000. LNCS, vol. 1900, pp. 600–604. Springer, Heidelberg (2000)
Gupta, S.K.S., Srimani, P.K.: Using self-stabilization to design adaptive multicast protocol for mobile ad hoc networks. In: Proceedings of the DIMACS Workshop on Mobile Networks and Computing, Rutgers University, NJ, pp. 67–84 (1999)
Hsu, S., Huang, S.T.: A self-stabilizing algorithm for maximal matching. Information Processing, Letters 43, 77–81 (1992)
Haynes, T.W., Hedetniemi, S.T., Slater, P.J.: Fundamentals of Domination in Graphs. Marcel Dekker, New York (1998)
Hedetniemi, S.T., Jacobs, D.P., Srimani, P.K.: Fault tolerant distributed coloring algorithms that stabilize in linear time. In: Proceedings of the IPDPS-2002 Workshop on Advances in Parallel and Distributed Computational Models, pp. 1–5 (2002)
Shukla, S., Rosenkrantz, D., Ravi, S.: Developing self-stabilizing coloring algorithms via systematic randomization. In: Proceedings of International, Workshop on Parallel Processing, pp. 668–673 (1994)
Goddard, W., Hedetniemi, S.T., Jacobs, D.P., Srimani, P.K.: Self- Stabilizing Protocols for Maximal Matching and Maximal Independent Sets for Ad Hoc Networks. In: Proceedings of the Fifth IPDPS Workshop on Advances in Parallel and Distributed Computational Models, Nice, France (April 22-26, 2003)
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Xu, Z., Hedetniemi, S.T., Goddard, W., Srimani, P.K. (2003). A Synchronous Self-stabilizing Minimal Domination Protocol in an Arbitrary Network Graph. In: Das, S.R., Das, S.K. (eds) Distributed Computing - IWDC 2003. IWDC 2003. Lecture Notes in Computer Science, vol 2918. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24604-6_3
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DOI: https://doi.org/10.1007/978-3-540-24604-6_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20745-0
Online ISBN: 978-3-540-24604-6
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