English

On two-toned tilings and $(m,n)$-words

Combinatorics 2025-10-02 v1

Abstract

In this article, we describe an explicit bijection between the set of (m,n)(m,n)-words as defined by Pilaud and Poliakova and the set of of two-toned tilings of a strip of length m+nm+n.

Keywords

Cite

@article{arxiv.2510.00226,
  title  = {On two-toned tilings and $(m,n)$-words},
  author = {Henri Mühle},
  journal= {arXiv preprint arXiv:2510.00226},
  year   = {2025}
}

Comments

5 pages, comments are very welcome