English

On an extremal problem involving a pair of forbidden posets

Combinatorics 2017-10-31 v1

Abstract

Resolving a conjecture of Methuku and the first author we determine the size of the largest family of subsets of an nn-element set avoiding both YkY_k and YkY_k' as induced subposets. The result follows as a consequence of the analogous result on a cyclical grid poset.

Keywords

Cite

@article{arxiv.1710.10760,
  title  = {On an extremal problem involving a pair of forbidden posets},
  author = {Casey Tompkins and Yao Wang},
  journal= {arXiv preprint arXiv:1710.10760},
  year   = {2017}
}