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<p>Recently, Archer et al. (2025) investigated pattern avoidance in cyclic permutations, examining cases where a permutation avoids one pattern in its one-line form while simultaneously avoiding a different pattern in all cyclic rotations of its cycle form. In this paper, we resolve two of their conjectures concerning these doubly-avoiding cyclic permutations.</p>

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Pattern Avoidance of Cyclic Permutations

  • 期刊论文

  • 发表日期：

    2025年10月29日

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  • Qiongqiong Pan

摘要

Recently, Archer et al. (2025) investigated pattern avoidance in cyclic permutations, examining cases where a permutation avoids one pattern in its one-line form while simultaneously avoiding a different pattern in all cyclic rotations of its cycle form. In this paper, we resolve two of their conjectures concerning these doubly-avoiding cyclic permutations.