A Note on Polychromatic Colorings of Shift-Chains
<|reference_start|>A Note on Polychromatic Colorings of Shift-Chains: We popularize the question whether, for $m$ large enough, all $m$-uniform shift-chain hypergraphs are properly $2$-colorable. On the other hand, we show that for every $m$ some $m$-uniform shift-chains are not polychromatic $3$-colorable.<|reference_end|>
@article{ueckerdt2024a,
    title={A Note on Polychromatic Colorings of Shift-Chains},
    author={Torsten Ueckerdt},
    journal={arXiv preprint arXiv:2405.05296},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.05296},
    primaryClass={math.CO cs.DM}
}