English

Words with the Maximum Number of Abelian Squares

Discrete Mathematics 2015-06-12 v1 Formal Languages and Automata Theory Combinatorics

Abstract

An abelian square is the concatenation of two words that are anagrams of one another. A word of length nn can contain Θ(n2)\Theta(n^2) distinct factors that are abelian squares. We study infinite words such that the number of abelian square factors of length nn grows quadratically with nn.

Keywords

Cite

@article{arxiv.1506.03562,
  title  = {Words with the Maximum Number of Abelian Squares},
  author = {Gabriele Fici and Filippo Mignosi},
  journal= {arXiv preprint arXiv:1506.03562},
  year   = {2015}
}

Comments

To appear in the proceedings of WORDS 2015