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Permutations Containing Many Patterns

M. H. Albert·Micah Coleman·Ryan Flynn·Imre Leader
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Abstract

It is shown that the maximum number of patterns that can occur in a permutation of length $n$ is asymptotically $2^n$. This significantly improves a previous result of Coleman.

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M. H. Albert, Micah Coleman, Ryan Flynn, Imre Leader. 2006-09-27. Permutations Containing Many Patterns. https://doi.org/10.1007/s00026-007-0319-9

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