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» Binary De Bruijn Partial Words with One Hole
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TAMC
2010
Springer
13 years 8 months ago
Binary De Bruijn Partial Words with One Hole
In this paper, we investigate partial words, or finite sequences that may have some undefined positions called holes, of maximum subword complexity. The subword complexity functi...
Francine Blanchet-Sadri, Jarett Schwartz, Slater S...
DM
2010
134views more  DM 2010»
13 years 4 months ago
The discrepancy of the lex-least de Bruijn sequence
We answer the following question of R. L. Graham: What is the discrepancy of the lexicographically-least binary de Bruijn sequence? Here, "discrepancy" refers to the max...
Joshua Cooper, Christine E. Heitsch
LATA
2010
Springer
13 years 8 months ago
Avoidable Binary Patterns in Partial Words
The problem of classifying all the avoidable binary patterns in words has been completely solved (see Chapter 3 of M. Lothaire, Algebraic Combinatorics on Words, Cambridge Universi...
Francine Blanchet-Sadri, Robert Mercas, Sean Simmo...
DAM
2011
12 years 11 months ago
On minimal Sturmian partial words
Partial words, which are sequences that may have some undefined positions called holes, can be viewed as sequences over an extended alphabet A = A ∪ { }, where stands for a hol...
Francine Blanchet-Sadri, John Lensmire