Corpus ID: 231924819

Simple vertex coloring algorithms

@article{Morris2021SimpleVC,
  title={Simple vertex coloring algorithms},
  author={Jackson Morris and Fang Song},
  journal={ArXiv},
  year={2021},
  volume={abs/2102.07089}
}
Given a graph G with n vertices and maximum degree ∆, it is known that G admits a vertex coloring with ∆ + 1 colors such that no edge of G is monochromatic. This can be seen constructively by a simple greedy algorithm, which runs in time O(n∆). Very recently, a sequence of results (e.g., [Assadi et. al. SODA’19, Bera et. al. ICALP’20, AlonAssadi Approx/Random’20]) show randomized algorithms for ( + 1)∆-coloring in the query model making Õ(n √ n) queries, improving over the greedy strategy on… Expand

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