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A family of formulas with reversal of high avoidability index

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IJAC_1750024_1st Proof corrections_done_1750024.pdf (303.2Kb)

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Author

Currie, James
Mol, Lucas
Rampersad, Narad

Uri

http://hdl.handle.net/10680/1755

Date

2017

Doi

10.1142/S0218196717500242

Citation

Internat. J. Algebra and Computation 27 (2017), 477–494

Abstract

We present an infinite family of formulas with reversal whose avoidability index is bounded between 4 and 5, and we show that several members of the family have avoidability index 5. This family is particularly interesting due to its size and the simple structure of its members. For each k ∈ {4,5}, there are several previously known avoidable formulas (without reversal) of avoidability index k, but they are small in number and they all have rather complex structure.

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  • James D. Currie
  • Lucas Mol
  • Narad Rampersad

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