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most citedUpper bounds for the Stanley-Wilf limit of 1324 and other layered patterns

50 citations · 148 across the 32 of their papers we have counts for

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math.CO2011★ 50 cited

Upper bounds for the Stanley-Wilf limit of 1324 and other layered patterns

Anders Claesson, Vít Jelínek, Einar Steingrímsson

We prove that the Stanley-Wilf limit of any layered permutation pattern of length is at most , and that the Stanley-Wilf limit of the pattern 1324 is at most 16. Th…

math.CO2011

Mesh patterns and the expansion of permutation statistics as sums of permutation patterns

Petter Brändén, Anders Claesson

Any permutation statistic $f:\sym\to\CC$ may be represented uniquely as a, possibly infinite, linear combination of (classical) permutation patterns: . To provide ex…