Optimally Gathering Two Robots

When

20/02/2019    
2:00 pm-3:00 pm
Adam Heriban

Where

LINCS / EIT Digital
23 avenue d'Italie, 75013 Paris

Event Type

We present a self-stabilizing algorithm that ensures in finite time the gathering of two robots in the non-rigid ASYNC model. To circumvent established impossibility results, we assume robots are equipped with 2-colors lights and are able to measure distances between one another. Aside from its light, a robot has no memory of its past actions, and its protocol is deterministic. Since, in the same model, gathering is impossible when lights have a single color, our solution is optimal with respect to the number of used colors.