A Gray code for cross-bifix-free sets

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TitreA Gray code for cross-bifix-free sets
Type de publicationJournal Article
Year of Publication2017
AuteursBernini A, Bilotta S, Pinzani R, Vajnovszki V
JournalMATHEMATICAL STRUCTURES IN COMPUTER SCIENCE
Volume27
Pagination184-196
Date PublishedFEB
Type of ArticleArticle; Proceedings Paper
ISSN0960-1295
Résumé

A cross-bifix-free set of words is a set in which no prefix of any length of any word is the suffix of any other word in the set. A construction of cross-bifix-free sets has recently been proposed in Chee et al. (2013) within a constant factor of optimality. We propose a Gray code for these cross-bifix-free sets and a CAT algorithm generating it. Our Gray code list is trace partitioned, that is, words with zero in the same positions are consecutive in the list.

DOI10.1017/S0960129515000067