| dc.contributor.author | Stanley, Richard P. | |
| dc.date.accessioned | 2012-07-26T19:06:45Z | |
| dc.date.available | 2012-07-26T19:06:45Z | |
| dc.date.issued | 2010-01 | |
| dc.date.submitted | 2009-05 | |
| dc.identifier.isbn | 978-0-8218-4865-4 | |
| dc.identifier.isbn | 0821848658 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/71850 | |
| dc.description | Dedicated to Reza Khosrovshahi on the occasion of his 70th birthday. | en_US |
| dc.description.abstract | A permutation a1a2 · · · an of 1, 2, . . . , n is alternating if a1 > a2 <
a3 > a4 < · · · . We survey some aspects of the theory of alternating permutations,
beginning with the famous result of Andr´e that if En is the number
of alternating permutations of 1, 2, . . . , n, then ... = sec x + tan x.
Topics include refinements and q-analogues of En, various occurrences of En in
mathematics, longest alternating subsequences of permutations, umbral enumeration
of special classes of alternating permutations, and the connection
between alternating permutations and the cd-index of the symmetric group. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (grant No. 0604423) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | American Mathematical Society | en_US |
| dc.relation.isversionof | http://www.ams.org/bookstore-getitem/item=conm-531 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | A Survey of Alternating Permutations | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Stanley, Richard P. "A Survey of Alternating Permutations." in Combinatorics and Graphs: the twentieth anniversary conference of IPM Combinatorics, May 15-21, 2009, Tehran, Iran, edited by Richard A. Brualdi, Samad Hedayat, Hadi Kharaghani, Gholamriza B. Khosrovshahi and Shahrair Shahrairi.(in Contemporary Mathematics), American Mathematical Society, 2010. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.approver | Stanley, Richard P. | |
| dc.contributor.mitauthor | Stanley, Richard P. | |
| dc.relation.journal | Combinatorics and Graphs | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/ConferencePaper | en_US |
| dspace.orderedauthors | Stanley, Richard P. | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0003-3123-8241 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
