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arXiv · 1710.10760

On an extremal problem involving a pair of forbidden posets

Casey Tompkins·Yao Wang
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Abstract

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

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Casey Tompkins, Yao Wang. 2017-10-30. On an extremal problem involving a pair of forbidden posets. https://arxiv.org/abs/1710.10760

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