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arxiv: math/0609771 · v1 · pith:JINVEQBSnew · submitted 2006-09-27 · 🧮 math.CO

Permutations Containing Many Patterns

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keywords patternsasymptoticallycolemancontainingimproveslengthmanymaximum
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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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