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arXiv · 1708.06183

Optimally Gathering Two Robots

Adam Heriban·Xavier Défago·Sébastien Tixeuil
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Abstract

We present an 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.

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Adam Heriban, Xavier Défago, Sébastien Tixeuil. 2017-08-21. Optimally Gathering Two Robots. https://arxiv.org/abs/1708.06183

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