Permutation classes of every growth rate above 2.48188

Details Permutation classes of every growth rate above 2.48188 Permutation classes of every growth rate above 2.48188

2008-07-17

arxiv.org/abs/0807.2815v2

Mathematics

Combinatorics

Several minor changes, as well as a change in title. To appear in Mathematika

Scientific paper

We prove that there are permutation classes (hereditary properties of
permutations) of every growth rate (Stanley-Wilf limit) at least \lambda
\approx 2.48187, the unique real root of x^5-2x^4-2x^2-2x-1, thereby
establishing a conjecture of Albert and Linton.

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