15 citations · 23 across the 7 of their papers we have counts for
7 papers
On the Schur-positivity of various sets of set partitions
Eli Bagno, David Garber
A symmetric function is called Schur-positive if it admits an expansion in the Schur basis with nonnegative coefficients. In this paper, we study the Schur positivity of symmetric…
Touchard-Riordan Polynomials and Schur-positivity of Set Partitions
Eli Bagno, David Garber
A symmetric function is called Schur-positive if it admits an expansion in the Schur basis with nonnegative coefficients. In this paper, we study the Schur-positivity of symmetric…
Type-B analogue of Bell numbers using Rota's Umbral calculus approach
Eli Bagno, David Garber
Rota used the functional L to recover old properties and obtain some new formulas for the Bell numbers. Tanny used Rota's functional L and the celebrated Worpitzky identity to obta…
Combinatorics of q,r-analogues of Stirling numbers of type B
Eli Bagno, David Garber
Stirling number of the first and the second kinds have seen many generalizations and applications in various areas of mathematics. We introduce some combinatorial parameters which…
Counting descent pairs with prescribed colors in the colored permutation groups
Eli Bagno, David Garber, Toufik Mansour
We define new statistics, (c, d)-descents, on the colored permutation groups Z_r \wr S_n and compute the distribution of these statistics on the elements in these groups. We use so…
Excedance number for involutions in complex reflection groups
Eli Bagno, David Garber, Toufik Mansour
We define the excedance number on the complex reflection groups and compute its multidistribution with the number of fixed points on the set of involutions in these groups. We use…