Abstract
We show that, for any task T associated to a locally checkable labeling (lcl), if T is solvable in t rounds by a deterministic algorithm in the local model, then T remains solvable by a deterministic algorithm in O(t) rounds in an asynchronous variant of the local model whenever \(t=O(\text {polylog}\, n)\).
This research is supported by the ANR project DESCARTES (ref. DS0702-2016). Additional support from the INRIA project GANG.
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Delporte-Gallet, C., Fauconnier, H., Fraigniaud, P., Rabie, M. (2019). Brief Announcement: Distributed Computing in the Asynchronous LOCAL Model. In: Ghaffari, M., Nesterenko, M., Tixeuil, S., Tucci, S., Yamauchi, Y. (eds) Stabilization, Safety, and Security of Distributed Systems. SSS 2019. Lecture Notes in Computer Science(), vol 11914. Springer, Cham. https://doi.org/10.1007/978-3-030-34992-9_9
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DOI: https://doi.org/10.1007/978-3-030-34992-9_9
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