# Self-stabilizing gathering with strong multiplicity detection

2 Regal - Large-Scale Distributed Systems and Applications
LIP6 - Laboratoire d'Informatique de Paris 6, Inria Paris-Rocquencourt
Abstract : In this paper, we investigate the possibility to deterministically solve the gathering problem starting from an arbitrary configuration with weak robots, i.e., anonymous, autonomous, disoriented, oblivious, and devoid of means of communication. By starting from an arbitrary configuration, we mean that robots are not required to be located at distinct positions in the initial configuration. 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 algorithm solving the gathering problem starting from an arbitrary configuration for $n$ robots if, and only if, n is odd.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-01197406
Contributor : Lip6 Publications <>
Submitted on : Friday, September 11, 2015 - 4:10:12 PM
Last modification on : Thursday, September 9, 2021 - 4:52:02 PM

### Citation

Yoann Dieudonné, Franck Petit. Self-stabilizing gathering with strong multiplicity detection. Theoretical Computer Science, Elsevier, 2012, 428, pp.47-57. ⟨10.1016/j.tcs.2011.12.010⟩. ⟨hal-01197406⟩

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