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arXiv · 2601.12597

Conjugating full cycles by adjacent transpositions: diameter and sorting time

Ron M. Adin·Eli Bagno·Yuval Roichman
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Abstract

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.

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Ron M. Adin, Eli Bagno, Yuval Roichman. 2026-09-03. Conjugating full cycles by adjacent transpositions: diameter and sorting time. https://arxiv.org/abs/2601.12597

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