A q = -1 Phenomenon for Pattern-Avoiding Permutations

Authors

Xin Chen, Carleton CollegeFollow

Abstract

We give an instance of Stembridge's q = -1 phenomenon for pattern- avoiding permutations. In particular, we show that setting q = -1 in the generating function for 132-avoiding permutations with respect to the statistic rsg returns the number of 132-avoiding involutions.

Author Bio

Xin Chen am a mathematics major at Carleton College. The paper presents the result of the research under the supervision of hi faculty advisor Eric S. Egge with financial support from the Carleton Kolenkow/Reitz fellowship during winter 2010.

Faculty Sponsor

Eric S. Egge

Recommended Citation

Chen, Xin (2011) "A q = -1 Phenomenon for Pattern-Avoiding Permutations," Rose-Hulman Undergraduate Mathematics Journal: Vol. 12: Iss. 2, Article 2.
Available at: https://scholar.rose-hulman.edu/rhumj/vol12/iss2/2