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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.19081 |
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Table of Contents:
- We study the communication complexity of $(Δ+ 1)$ vertex coloring, where the edges of an $n$-vertex graph of maximum degree $Δ$ are partitioned between two players. We provide a randomized protocol which uses $O(n)$ bits of communication and ends with both players knowing the coloring. Combining this with a folklore $Ω(n)$ lower bound, this settles the randomized communication complexity of $(Δ+ 1)$-coloring up to constant factors.