# Distributed $\Delta$-Coloring Plays Hide-and-Seek

@inproceedings{Balliu2021DistributedP, title={Distributed \$\Delta\$-Coloring Plays Hide-and-Seek}, author={Alkida Balliu and Sebastian Brandt and Fabian Kuhn and Dennis Olivetti}, year={2021} }

We prove several new tight or near-tight distributed lower bounds for classic symmetry breaking graph problems. As a basic tool, we first provide a new insightful proof that any deterministic distributed algorithm that computes a ∆-coloring on ∆-regular trees requires Ω(log∆ n) rounds and any randomized algorithm requires Ω(log∆ log n) rounds. We prove this result by showing that a natural relaxation of the ∆-coloring problem is a fixed point in the round elimination framework. As a first…

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