The Discrepancy of the Lex-Least De Bruijn Sequence
Combinatorics
2009-03-24 v1
Abstract
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 .
Cite
@article{arxiv.0903.3753,
title = {The Discrepancy of the Lex-Least De Bruijn Sequence},
author = {Joshua Cooper and Christine Heitsch},
journal= {arXiv preprint arXiv:0903.3753},
year = {2009}
}
Comments
11 pages, 0 figures