Font Size: a A A

Generalizations of two-stack-sortable permutations

Posted on:2004-05-18Degree:Ph.DType:Thesis
University:Brandeis UniversityCandidate:Xu, DapengFull Text:PDF
GTID:2468390011475508Subject:Mathematics
Abstract/Summary:
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 k-tuple r-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 r-permutations.
Keywords/Search Tags:Two-stack-sortable, -permutations
Related items