Generalizations of Two-stack-sortable Permutations - Dapeng Xu - Books - LAP Lambert Academic Publishing - 9783838306216 - July 30, 2009
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Dapeng Xu
Generalizations of Two-stack-sortable Permutations

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This is a dissertation presented to the faculty of department of mathematics, Brandeis University, in partial fulfillment of the requirements for the degree Doctor of Philosophy. In this thesis, we apply the stack sorting operator to r-permutations and construct the functional equation for the generating function of two-stack-sortable permutations counted by descents by using a factorization similar to Zeilberger's. We solve the functional equation and give explicit formulas for the number of two-stack-sortable permutations.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released July 30, 2009
ISBN13 9783838306216
Publishers LAP Lambert Academic Publishing
Pages 64
Dimensions 225 × 4 × 150 mm   ·   113 g
Language German  

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