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Factor Colorings of Linearly Recurrent Words

Combinatorics 2015-04-23 v1 Discrete Mathematics

Abstract

In this short article, we study factor colorings of aperiodic linearly recurrent infinite words. We show that there always exists a coloring which does not admit a monochromatic factorization of the word into factors of increasing lengths.

Keywords

Cite

@article{arxiv.1504.05821,
  title  = {Factor Colorings of Linearly Recurrent Words},
  author = {Ville Salo and Ilkka Törmä},
  journal= {arXiv preprint arXiv:1504.05821},
  year   = {2015}
}

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7 pages