The Discrepancy of the Lex-Least De Bruijn Sequence

Details The Discrepancy of the Lex-Least De Bruijn Sequence The Discrepancy of the Lex-Least De Bruijn Sequence

2009-03-22

arxiv.org/abs/0903.3753v1

Mathematics

Combinatorics

11 pages, 0 figures

Scientific paper

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 maximum (absolute) difference between the number of ones and the
number of zeros in any initial segment of the sequence. We show that the answer
is $\Theta(2^n \log n/n)$.

Affiliated with

Also associated with

No associations

Rating

The Discrepancy of the Lex-Least De Bruijn Sequence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Discrepancy of the Lex-Least De Bruijn Sequence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Discrepancy of the Lex-Least De Bruijn Sequence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-191076