3 papers
math.CO2012
Cyclic sieving phenomenon on annular noncrossing permutations
Jang Soo Kim
We show an instance of the cyclic sieving phenomenon on annular noncrossing permutations with given cycle types. We define annular -Kreweras numbers, annular -Narayana number…
math.CO2012
Moments of Askey-Wilson polynomials
Jang Soo Kim, Dennis Stanton
New formulas for the nth moment of the Askey-Wilson polynomials are given. These are derived using analytic techniques, and by considering three combinatorial models for the moment…
math.CO2008
-distant crossings and nestings of matchings and partitions
Dan Drake, Jang Soo Kim
We define and consider k-distant crossings and nestings for matchings and set partitions, which are a variation of crossings and nestings in which the distance between vertices is…