Vincent Vajnovszki - Gray code order for Lyndon words

dmtcs:393 - Discrete Mathematics & Theoretical Computer Science, January 1, 2007, Vol. 9 no. 2 -
Gray code order for Lyndon wordsArticle

Authors: Vincent Vajnovszki 1

  • 1 Laboratoire Electronique, Informatique et Image [UMR6306]

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.

Volume: Vol. 9 no. 2
Published on: January 1, 2007
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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