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arXiv · 1511.01076

An Erdős--Hajnal analogue for permutation classes

Vincent Vatter
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Abstract

Let $\mathcal{C}$ be a permutation class that does not contain all layered permutations or all colayered permutations. We prove that there is a constant $c$ such that every permutation in $\mathcal{C}$ of length $n$ contains a monotone subsequence of length $cn$.

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Vincent Vatter. 2016-02-09. An Erdős--Hajnal analogue for permutation classes. https://doi.org/10.46298/dmtcs.1328

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