{"product_id":"generalizations-of-two-stack-sortable-permutations-383830621x","title":"Generalizations of Two-stack-sortable Permutations","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 383830621X\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Xu, Dapeng\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":68178409455904,"sku":"NEW383830621X","price":60.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/51b9HyPpkhS.jpg?v=1794082538","url":"https:\/\/miakarts.com\/en-gb\/products\/generalizations-of-two-stack-sortable-permutations-383830621x","provider":"Miakarts Books","version":"1.0","type":"link"}