Optimally Gathering Two Robots

Speaker : Adam Heriban
Date: 20/02/2019
Time: 2:00 pm - 3:00 pm
Location: LINCS / EIT Digital


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.