Intervals of Permutation Class Growth Rates

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Intervals of Permutation Class Growth Rates

We prove that the set of growth rates of permutation classes includes an infinite sequence of intervals whose infimum is θB ≈ 2.35526, and that it also contains every value at least λB ≈ 2.35698. These results improve on a theorem of Vatter, who determined that there are permutation classes of every growth rate at least λA ≈ 2.48187. Thus, we also refute his conjecture that the set of growth ra...

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ژورنال

عنوان ژورنال: Combinatorica

سال: 2017

ISSN: 0209-9683,1439-6912

DOI: 10.1007/s00493-016-3349-2