English

Word-representability of triangulations of rectangular polyomino with a single domino tile

Combinatorics 2015-09-11 v2

Abstract

A recent elegant result of Akrobotu et al. states that a triangulation of any convex polyomino is word-representable if and only if it is 3-colorable. In this paper, we generalize a particular case of this result by showing that the result of Akrobotu et al. is true even if we allow a domino tile, instead of having just 1×11\times 1 tiles on a rectangular polyomino.

Keywords

Cite

@article{arxiv.1503.05076,
  title  = {Word-representability of triangulations of rectangular polyomino with a single domino tile},
  author = {Marc Glen and Sergey Kitaev},
  journal= {arXiv preprint arXiv:1503.05076},
  year   = {2015}
}

Comments

To appear in the Journal of Combinatorial Mathematics and Combinatorial Computing