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PERMUTATION CLASSES OF EVERY GROWTH RATE ABOVE 2.48188

Part of: Ordered sets Combinatorics

Published online by Cambridge University Press:  10 December 2009

Vincent Vatter
Vincent Vatter*
Affiliation:
Department of Mathematics, Dartmouth College, Hanover, NH 03755, U.S.A. (email: vincent.vatter@dartmouth.edu)
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Abstract

We prove that there are permutation classes (hereditary properties of permutations) of every growth rate (Stanley–Wilf limit) at least λ≈2.48187, the unique real root of x5−2x4−2x2−2x−1, thereby establishing a conjecture of Albert and Linton.

MSC classification

Secondary: 05A05: Permutations, words, matrices 05A15: Exact enumeration problems, generating functions 06A06: Partial order, general
Type
Research Article
Information
Mathematika , Volume 56 , Issue 1 , January 2010 , pp. 182 - 192
Copyright
Copyright © University College London 2010

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References

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