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A lower bound for general t-stack sortable permutations via pattern avoidance
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There is no formula for general t-stack sortable permutations. Thus, we attempt to study them by establishing lower and upper bounds. Permutations that avoid certain pattern sets provide natural lower bounds. This paper presents a recurrence relation that counts the number of permutations that avoid the set (23451,24351,32451,34251,42351,43251). This establishes a lower bound on 3-stack sortable permutations. Additionally, the proof generalizes to provide lower bounds for all t-stack sortable permutations.
University of Florida George A Smathers Libraries
Title: A lower bound for general t-stack sortable permutations via pattern avoidance
Description:
There is no formula for general t-stack sortable permutations.
Thus, we attempt to study them by establishing lower and upper bounds.
Permutations that avoid certain pattern sets provide natural lower bounds.
This paper presents a recurrence relation that counts the number of permutations that avoid the set (23451,24351,32451,34251,42351,43251).
This establishes a lower bound on 3-stack sortable permutations.
Additionally, the proof generalizes to provide lower bounds for all t-stack sortable permutations.
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