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Fundamenta Informaticae 80, 1-3 (2007) 221-246
An efficient message passing algorithm based on Mazurkiewicz s algorithm
Jérémie Chalopin 1, Yves Métivier 2
(2007)

We study the election and the naming problems in the asynchronous message passing model. We present a necessary condition based on Angluin's lifting lemma that must be satisfied by any network that admits a naming (or an election) algorithm. We then show that this necessary condition is also sufficient: we present an election and naming algorithm based on Mazurkiewicz's algo\-rithm. The algorithm we obtained is totally asynchronous and it needs a polynomial number of messages of polynomial size, whereas previous election algorithms in this model are pseudo-synchronous and use messages of exponential size.
1:  Laboratoire d'informatique Fondamentale de Marseille (LIF)
CNRS : UMR6166 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I
2:  Laboratoire Bordelais de Recherche en Informatique (LaBRI)
CNRS : UMR5800 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) – Université Victor Segalen - Bordeaux II
Computer Science/Other

Computer Science/Distributed, Parallel, and Cluster Computing