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The number of binary words avoiding Abelian fourth powers grows exponentially

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Publication:596075
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DOI10.1016/j.tcs.2004.02.005zbMath1068.68113OpenAlexW2065463697MaRDI QIDQ596075

James D. Currie

Publication date: 10 August 2004

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2004.02.005

zbMATH Keywords

EntropyCombinatorics on wordsAbelian repetitions


Mathematics Subject Classification ID

Combinatorics on words (68R15) Permutations, words, matrices (05A05)


Related Items

Branching frequency and Markov entropy of repetition-free languages, A powerful abelian square-free substitution over 4 letters, On Abelian repetition threshold, Dynamical systems arising from random substitutions, Abelian combinatorics on words: a survey, Avoiding or Limiting Regularities in Words, Abelian repetitions in partial words, Avoiding abelian powers cyclically, A cyclic binary morphism avoiding abelian fourth powers



Cites Work

  • Unnamed Item
  • Growth problems for avoidable words
  • Strongly non-repetitive sequences and progression-free sets
  • On the number of Abelian square-free words on four letters
  • Uniformly growing k-th power-free homomorphisms
  • Avoiding Patterns in the Abelian Sense
  • NON-REPETITIVE SEQUENCES ON THREE SYMBOLS
  • Abelian squares are avoidable on 4 letters
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