A trace partitioned Gray code for q-ary generalized Fibonacci strings

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TitreA trace partitioned Gray code for q-ary generalized Fibonacci strings
Type de publicationJournal Article
Year of Publication2015
AuteursBernini A., Bilotta S., Pinzani R., Vajnovszki V.
JournalJOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY
Volume18
Pagination751-761
Type of ArticleArticle
ISSN0972-0529
Mots-clésgeneralized Fibonacci numbers, Gray Codes, pattern avoiding strings
Résumé

We provide a trace partitioned Gray code for the set of q-ary strings avoiding a pattern constituted by k consecutive equal symbols. The definition of this Gray code is based on two different constructions, according to the parity of q. This result generalizes, and is based on, a Gray code for binary strings avoiding k consecutive 0's.

DOI10.1080/09720529.2014.968360