Computation in networks of passively mobile finite-state sensors
Distributed Computing - Special issue: PODC 04
ICALP '09 Proceedings of the 36th Internatilonal Collogquium on Automata, Languages and Programming: Part II
Recent Advances in Population Protocols
MFCS '09 Proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science 2009
Self-stabilizing leader election in networks of finite-state anonymous agents
OPODIS'06 Proceedings of the 10th international conference on Principles of Distributed Systems
Self-stabilizing population protocols
OPODIS'05 Proceedings of the 9th international conference on Principles of Distributed Systems
Space complexity of self-stabilizing leader election in passively-mobile anonymous agents
SIROCCO'09 Proceedings of the 16th international conference on Structural Information and Communication Complexity
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This paper investigates the space complexity of a self stabilizing leader election in a mediated population protocol (SS-LE MPP). Cai, Izumi and Wada (2009) showed that SS-LE in a population protocol (SS-LE PP) for n agents requires at least n agent-states, and gave a SS-LE PP with n agent-states for n agents. MPP is a model of distributed computation, introduced by Chatzigiannakis, Michail and Spirakis (2009) as an extension of PP allowing an extra memory on every agents pair. While they showed that MPP is stronger than PP in general, it was not known if a MPP can really reduce the space complexity of SS-LE with respect to agent-states. We in this paper give a SS-LE MPP with (2/3)n agent-states and a single bit memory on every agents pair for n agents. We also show that there is no SS-LE MPP with any constant agent-states and any constant size memory on each agents-pair for general n agents.