Ilie, Lucian A simple proof that a word of length \(n\) has at most \(2n\) distinct squares. (English) Zbl 1088.68146 J. Comb. Theory, Ser. A 112, No. 1, 163-164 (2005). Summary: We give a very short proof of a result by A. S. Fraenkel and J. Simpson [J. Comb. Theory, Ser. A 82, 112–120 (1998; Zbl 0910.05001)] which states that the number of distinct squares in a word of length \(n\) is at most \(2n\). Cited in 34 Documents MSC: 68R15 Combinatorics on words Keywords:combinatorics on words; squares Citations:Zbl 0910.05001 PDFBibTeX XMLCite \textit{L. Ilie}, J. Comb. Theory, Ser. A 112, No. 1, 163--164 (2005; Zbl 1088.68146) Full Text: DOI References: [1] Crochemore, M.; Rytter, W., Squares, cubes, and time-space efficient string searching, Algorithmica, 13, 405-425 (1995) · Zbl 0849.68044 [2] Fraenkel, A. S.; Simpson, J., How many squares can a string contain?, J. Combin. Theory, Ser. A, 82, 112-120 (1998) · Zbl 0910.05001 [3] Lothaire, M., Combinatorics on Words (1983), Addison-Wesley: Addison-Wesley Reading, MA · Zbl 0514.20045 [4] Lothaire, M., Algebraic Combinatorics on Words (2002), Cambridge University Press: Cambridge University Press Cambridge · Zbl 1001.68093 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.