Further applications of a power series method for pattern avoidance

  title={Further applications of a power series method for pattern avoidance},
  author={Narad Rampersad},
  journal={Electr. J. Comb.},
In combinatorics on words, a word w over an alphabet Σ is said to avoid a pattern p over an alphabet ∆ if there is no factor x of w and no non-erasing morphism h from ∆ to Σ such that h(p) = x. Bell and Goh have recently applied an algebraic technique due to Golod to show that for a certain wide class of patterns p there are exponentially many words of length n over a 4-letter alphabet that avoid p. We consider some further consequences of their work. In particular, we show that any pattern… CONTINUE READING

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Publications referenced by this paper.

Lower bounds for pattern avoidance

  • J. Bell, T. L. Goh
  • Inform. and Comput. 205
  • 2007
Highly Influential
6 Excerpts

Motifs évitables et régularités dans les mots

  • J. Cassaigne
  • Thèse de doctorat, Université Paris 6, LITP…
  • 2011
1 Excerpt

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