How much does randomness help with locally checkable problems?
@article{Balliu2020HowMD, title={How much does randomness help with locally checkable problems?}, author={Alkida Balliu and S. Brandt and Dennis Olivetti and Jukka Suomela}, journal={Proceedings of the 39th Symposium on Principles of Distributed Computing}, year={2020} }
Locally checkable labeling problems (LCLs) are distributed graph problems in which a solution is globally feasible if it is locally feasible in all constant-radius neighborhoods. Vertex colorings, maximal independent sets, and maximal matchings are examples of LCLs. On the one hand, it is known that some LCLs benefit exponentially from randomness---for example, any deterministic distributed algorithm that finds a sinkless orientation requires Θ(log n) rounds in the LOCAL model, while the… CONTINUE READING
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