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math.COJan 7, 2011
16
citations (OpenAlex)
authors
  • Ľubomíra Balková
  • Karel Břinda
  • Ondřej Turek
institutions
  • Czech Technical University in Prague
  • Kochi University of Technology
arXiv abstractPDF
paper

Abelian Complexity of Infinite Words Associated with Quadratic Parry Numbers

arXiv:1101.1490 · doi:10.1016/j.tcs.2011.08.016

Abstract

We derive an explicit formula for the Abelian complexity of infinite words associated with quadratic Parry numbers.

12 pages

References in corpus (2)

  • Abelian Complexity in Minimal Subshifts
  • Balance and Abelian complexity of the Tribonacci word

Cited by in corpus (7)

  • On the abelian complexity of the Rudin-Shapiro sequence
  • Abelian complexity and Abelian co-decomposition
  • On the abelian complexity of generalized Thue-Morse sequences
  • Abelian properties of Parry words
  • Abelian complexity function of the Tribonacci word
  • On the k-abelian complexity of the Cantor sequence
  • On the additive complexity of a Thue-Morse like sequence
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