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The Solution of a Conjecture of Stanley and Wilf for All Layered Patterns

✍ Scribed by Miklós Bóna

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
101 KB
Volume
85
Category
Article
ISSN
0097-3165

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✦ Synopsis

Proving a conjecture of Wilf and Stanley in hitherto the most general case, we show that for any layered pattern q there is a constant c so that q is avoided by less than c n permutations of length n. This will imply the solution of this conjecture for at least 2 k patterns of length k, for any k.

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