Distributed Anonymous Mobile Robots: Formation of Geometric Patterns
SIAM Journal on Computing
ICTCS '01 Proceedings of the 7th Italian Conference on Theoretical Computer Science
Gathering asynchronous oblivious mobile robots in a ring
Theoretical Computer Science
Remembering without Memory: Tree Exploration by Asynchronous Oblivious Robots
SIROCCO '08 Proceedings of the 15th international colloquium on Structural Information and Communication Complexity
Circle formation of weak mobile robots
ACM Transactions on Autonomous and Adaptive Systems (TAAS)
On the Solvability of Anonymous Partial Grids Exploration by Mobile Robots
OPODIS '08 Proceedings of the 12th International Conference on Principles of Distributed Systems
Computing without communicating: ring exploration by asynchronous oblivious robots
OPODIS'07 Proceedings of the 11th international conference on Principles of distributed systems
On the computational power of oblivious robots: forming a series of geometric patterns
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Optimal exploration of small rings
Proceedings of the Third International Workshop on Reliability, Availability, and Security
Optimal probabilistic ring exploration by semi-synchronous oblivious robots
SIROCCO'09 Proceedings of the 16th international conference on Structural Information and Communication Complexity
Optimal deterministic ring exploration with oblivious asynchronous robots
SIROCCO'10 Proceedings of the 17th international conference on Structural Information and Communication Complexity
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We consider deterministic terminating exploration of a grid by a team of asynchronous oblivious robots. We first consider the semi-synchronous atomic model ATOM. In this model, we exhibit the minimal number of robots to solve the problem w.r.t. the size of the grid. We then consider the asynchronous non-atomic model CORDA. ATOM being strictly stronger than CORDA, the previous bounds also hold in CORDA, and we propose deterministic algorithms in CORDA that matches these bounds. The above results show that except in two particular cases, 3 robots are necessary and sufficient to deterministically explore a grid of at least three nodes. The optimal number of robots for the two remaining cases is: 4 for the (2,2)-Grid and 5 for the (3,3)-Grid, respectively.