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Gray code order for Lyndon words

Abstract : At the 4th Conference on Combinatorics on Words, Christophe Reutenauer posed the question of whether the dual reflected order yields a Gray code on the Lyndon family. In this paper we give a positive answer. More precisely, we present an O(1)-average-time algorithm for generating length n binary pre-necklaces, necklaces and Lyndon words in Gray code order.
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https://hal.inria.fr/hal-00966527
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Vincent Vajnovszki. Gray code order for Lyndon words. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2007, Vol. 9 no. 2 (2), pp.145--151. ⟨10.46298/dmtcs.393⟩. ⟨hal-00966527⟩

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