Title
Gray code orders for $q$-ary words avoiding a given factor.
Abstract
Based on order relations inspired by the binary reflected Gray code (BRGC) we define Gray codes and give a generating algorithm for \(q\)-ary words avoiding a prescribed factor. These generalize an early 2001 result and a very recent one published by some of the present authors, and can be seen as an alternative to those of Squire published in 1996. Among the involved tools, we make use of generalized BRGC order relations, ultimate periodicity of infinite words, and word matching techniques.
Year
DOI
Venue
2014
10.1007/s00236-015-0225-2
Acta Informatica
Field
DocType
Volume
Discrete mathematics,Combinatorics,Gray code,Mathematics,Binary number
Journal
abs/1404.0823
Issue
ISSN
Citations 
7-8
1432-0525
1
PageRank 
References 
Authors
0.36
7
5
Name
Order
Citations
PageRank
Antonio Bernini1347.68
Stefano Bilotta2329.62
Renzo Pinzani334167.45
A. Sabri410.36
Vincent Vajnovszki517024.12