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Minimal critical exponent of quasiperiodic words

Gwenaël Richomme 1, 2
2 ESCAPE - Systèmes complexes, automates et pavages
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : A quasiperiodic word is a finite or infinite word that can be obtained by concatenations or overlaps of a given finite word. We proved that the least critical exponent of a quasiperiodic binary word is 7/3. For larger alphabets, given any e>0, we provide a construction of a ternary quasiperiodic word with critical exponent 2 +e.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-01059541
Contributor : Gwenaël Richomme <>
Submitted on : Monday, September 1, 2014 - 11:24:31 AM
Last modification on : Tuesday, May 12, 2020 - 1:46:05 PM

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Gwenaël Richomme. Minimal critical exponent of quasiperiodic words. Theoretical Computer Science, Elsevier, 2014, 548, pp.117-122. ⟨10.1016/j.tcs.2014.06.039⟩. ⟨lirmm-01059541⟩

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