English

A lower bound on forcing numbers based on height functions

Combinatorics 2024-11-01 v1

Abstract

We establish a lower bound on the forcing numbers of domino tilings computable in polynomial time based on height functions. This lower bound is sharp for a 2n by 2n square as well as other cases.

Keywords

Cite

@article{arxiv.2410.23621,
  title  = {A lower bound on forcing numbers based on height functions},
  author = {Fateh Aliyev and Nikita Gladkov},
  journal= {arXiv preprint arXiv:2410.23621},
  year   = {2024}
}

Comments

10 pages, 4 figures

R2 v1 2026-06-28T19:42:22.886Z