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Conjugating full cycles by adjacent transpositions: diameter and sorting time

We establish upper and lower bounds on the maximal number of steps needed to transform a cyclic permutation to the canonical cyclic permutation using conjugation by adjacent transpositions, and on the diameter of the underlying Schreier graph.

preprint2026arXivOpen access
Ron M. AdinEli BagnoYuval Roichman
math.CO
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Ron M. AdinEli BagnoYuval Roichman

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