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arxiv: 0807.2815 · v2 · pith:Y2YEXQWNnew · submitted 2008-07-17 · 🧮 math.CO

Permutation classes of every growth rate above 2.48188

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keywords classeseverygrowthpermutationrateabovealbertapprox
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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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