Computing on an anonymous ring
Journal of the ACM (JACM)
A modular technique for the design of efficient distributed leader finding algorithms
ACM Transactions on Programming Languages and Systems (TOPLAS)
Computing on Anonymous Networks: Part I-Characterizing the Solvable Cases
IEEE Transactions on Parallel and Distributed Systems
Distributed computing on anonymous hypercube networks
Journal of Algorithms
The power of a pebble: exploring and mapping directed graphs
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Comparison of initial conditions for distributed algorithms on anonymous networks
Proceedings of the eighteenth annual ACM symposium on Principles of distributed computing
A Distributed Algorithm for Minimum-Weight Spanning Trees
ACM Transactions on Programming Languages and Systems (TOPLAS)
Distributed Computing on TRansitive Networks: The Thorus
STACS '89 Proceedings of the 6th Annual Symposium on Theoretical Aspects of Computer Science
Can we elect if we cannot compare?
Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures
Local and global properties in networks of processors (Extended Abstract)
STOC '80 Proceedings of the twelfth annual ACM symposium on Theory of computing
Distributed exploration of an unknown graph
SIROCCO'05 Proceedings of the 12th international conference on Structural Information and Communication Complexity
Move-optimal gossiping among mobile agents
Theoretical Computer Science
Rendezvous of Mobile Agents When Tokens Fail Anytime
OPODIS '08 Proceedings of the 12th International Conference on Principles of Distributed Systems
Optimal moves for gossiping among mobile agents
SIROCCO'07 Proceedings of the 14th international conference on Structural information and communication complexity
Rendezvous of mobile agents without agreement on local orientation
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming: Part II
Distributed security algorithms by mobile agents
ICDCN'06 Proceedings of the 8th international conference on Distributed Computing and Networking
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We present distributed protocols for electing a leader among k mobile agents that are dispersed among the n nodes of a graph. While previous solutions for the agent election problem were restricted to specific topologies or under specific conditions, the protocols presented in this paper face the problem in the most general case, i.e. for an arbitrary topology where the nodes of the graph may not be distinctly labelled and the agents might be all identical (and thus indistinguishable from each other). In such cases, the agent election problem is often difficult, and sometimes impossible to solve using deterministic means. We have designed protocols for solving the problem that—unlike previous solutions—are effective, meaning that they always succeed in electing a leader under any given setting if at all it is possible, and otherwise detect the fact that election is impossible in that setting. We present several election protocols, all effective. Starting with the straightforward solution, that requires an exponential amount of edge-traversals by the agents, we describe significantly more efficient algorithms; in the latter the total number of edge-traversals made by the agents is always polynomial, their difference is in the amount of bits of storage they required at the nodes.