Avoiding approximate squares

Abstract : As is well-known, Axel Thue constructed an infinite word over a 3-letter alphabet that contains no squares, that is, no nonempty subwords of the form xx. In this paper we consider a variation on this problem, where we try to avoid approximate squares, that is, subwords of the form xx' where |x|=|x'| and x and x' are "nearly" identical.
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https://hal.archives-ouvertes.fr/hal-00307153
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Submitted on : Tuesday, November 4, 2008 - 2:42:22 PM
Last modification on : Thursday, January 11, 2018 - 6:20:15 AM
Long-term archiving on : Friday, November 25, 2016 - 11:48:41 PM

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Dalia Krieger, Pascal Ochem, Narad Rampersad, Jeffrey Shallit. Avoiding approximate squares. DLT 2007, 2007, Finland. pp.278-289. ⟨hal-00307153⟩

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