A deterministic semi-streaming algorithm achieves an O(Δ)-coloring in O(√log Δ) passes, the first with linear palette size and sublogarithmic passes.
Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages =
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Faster Deterministic Streaming Vertex Coloring
A deterministic semi-streaming algorithm achieves an O(Δ)-coloring in O(√log Δ) passes, the first with linear palette size and sublogarithmic passes.