Shape Avoiding Permutations
classification
🧮 math.CO
keywords
permutationsavoidingshapeconsideredcontaineddeduceexponentialgiven
read the original abstract
Permutations avoiding all patterns of a given shape (in the sense of Robinson-Schensted-Knuth) are considered. We show that the shapes of all such permutations are contained in a suitable thick hook, and deduce an exponential growth rate for their number.
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