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arXiv · 1608.02279

Asymptotic results on Klazar set partition avoidance

Ryan Alweiss
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Abstract

We establish asymptotic bounds for the number of partitions of $[n]$ avoiding a given partition in Klazar's sense, obtaining the correct answer to within an exponential for the block case. This technique also enables us to establish a general lower bound. Additionally, we consider a graph theoretic restatement of partition avoidance problems, and propose several conjectures.

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Ryan Alweiss. 2018-03-15. Asymptotic results on Klazar set partition avoidance. https://doi.org/10.23638/dmtcs-19-2-7

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