Bicrucial $k$-power-free permutations
Combinatorics
2024-09-04 v1
Abstract
In this work, we prove that for every there exist arbitrarily long bicrucial -power-free permutations. We also show that for every there exist right-crucial -power-free permutations of any length at least .
Cite
@article{arxiv.2409.01206,
title = {Bicrucial $k$-power-free permutations},
author = {Margarita Akhmejanova and Aiya Kuchukova and Alexandr Valyuzhenich and Ilya Vorobyev},
journal= {arXiv preprint arXiv:2409.01206},
year = {2024}
}