Distance-2 Coloring in the CONGEST Model

@article{Halldrsson2020Distance2CI,
  title={Distance-2 Coloring in the CONGEST Model},
  author={M. Halld{\'o}rsson and F. Kuhn and Yannic Maus},
  journal={Proceedings of the 39th Symposium on Principles of Distributed Computing},
  year={2020}
}
We give efficient randomized and deterministic distributed algorithms for computing a distance-2 vertex coloring of a graph G in the CONGEST model. In particular, if Δ is the maximum degree of G, we show that there is a randomized CONGEST model algorithm to compute a distance-2 coloring of G with Δ2 + 1 colors in O(log Δ · log n) rounds. Further if the number of colors is slightly increased to (1 + ∈)Δ2 for some ∈ > 1/polylog n, we show that it is even possible to compute a distance-2 coloring… Expand
4 Citations
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