Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
438376 | Theoretical Computer Science | 2007 | 4 Pages |
Abstract
Fraenkel and Simpson [A.S. Fraenkel, J. Simpson, How many squares can a string contain? J. Combin. Theory Ser. A 82 (1998) 112ā120] proved that the number of squares in a word of length n is bounded by 2n. In this note we improve this bound to 2nāĪ(logn). Based on the numerical evidence, the conjectured bound is n.
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