Speaker: Euripides Markou University of Thessaly, Lamia, Greece Title: Mobile Agents Rendezvous in spite of a Malicious Agent Time/Location Oct 14, Wed 12:30 pm - 1:30 pm, Room: 5345 HP Abstract: We examine the problem of rendezvous, i.e., having multiple mobile agents gather in a single node of a network. Unlike previous studies, we need to achieve rendezvous in presence of a malicious agent that moves through the network and tries to block the honest agents and prevent them from gathering. The malicious agent is assumed to be arbitrarily fast, has full knowledge of the network and it cannot be exterminated by the honest agents. On the other hand, the honest agents are assumed to be quite weak: They are asynchronous and anonymous, they have only finite memory, they have no prior knowledge of the network and they can communicate only when they meet at a node. We present necessary conditions for solving rendezvous in spite of the malicious agent in arbitrary networks. We then focus on ring and mesh topologies and provide algorithms to solve rendezvous. For ring networks, our algorithms solve rendezvous in all feasible instances of the problem, while we show that rendezvous is impossible for an even number of agents in unoriented rings. For the oriented mesh networks, we prove that the problem can be solved when the honest agents initially form a connected configuration without holes if and only if they can see which are the occupied nodes within a two-hops distance. http://users.softlab.ntua.gr/~emarkou/publications/