Abstract
In this paper, we investigate the possibility to deterministically solve the gathering problem (GP) with weak robots (anonymous, autonomous, disoriented, oblivious, deaf, and dumb). We introduce strong multiplicity detection as the ability for the robots to detect the exact number of robots located at a given position. We show that with strong multiplicity detection, there exists a deterministic self-stabilizing algorithm solving GP for n robots if, and only if, n is odd.
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Dieudonné, Y., Petit, F. (2009). Self-stabilizing Deterministic Gathering. In: Dolev, S. (eds) Algorithmic Aspects of Wireless Sensor Networks. ALGOSENSORS 2009. Lecture Notes in Computer Science, vol 5804. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05434-1_23
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DOI: https://doi.org/10.1007/978-3-642-05434-1_23
Publisher Name: Springer, Berlin, Heidelberg
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