Avoiding abelian and additive powers in rich words
<|reference_start|>Avoiding abelian and additive powers in rich words: This paper concerns the avoidability of abelian and additive powers in infinite rich words. In particular, we construct an infinite additive $5$-power-free rich word over $\{0,1\}$ and an infinite additive $4$-power-free rich word over $\{0, 1, 2\}$. The alphabet sizes are as small as possible in both cases, even for abelian powers.<|reference_end|>
@article{andrade2024avoiding,
    title={Avoiding abelian and additive powers in rich words},
    author={Jonathan Andrade and Lucas Mol},
    journal={arXiv preprint arXiv:2408.15390},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.15390},
    primaryClass={math.CO cs.DM cs.FL}
}