Generalizations of Two-stack-sortable Permutations

Dapeng Xu

ISBN 10: 383830621X ISBN 13: 9783838306216
Editorial: LAP LAMBERT Academic Publishing, 2010
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Descripción:

Generalizations of Two-stack-sortable Permutations | Dapeng Xu | Taschenbuch | 64 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838306216 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. N° de ref. del artículo 101515137

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Sinopsis:

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.

Reseña del editor: 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.

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Detalles bibliográficos

Título: Generalizations of Two-stack-sortable ...
Editorial: LAP LAMBERT Academic Publishing
Año de publicación: 2010
Encuadernación: Taschenbuch
Condición: Neu

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