23 citations · 126 across the 30 of their papers we have counts for
Showing 2017 · math.COShow all
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math.CO2017★ 2 cited
Parallelogram polyominoes, partially labelled Dyck paths, and the Delta conjecture (FULL VERSION)
Michele D'Adderio, Alessandro Iraci
We introduce area, bounce and dinv statistics on decorated parallelogram polyominoes, and prove that some of their q,t-enumerators match $\langle Δ_{h_m} e_{n+1},s_{k+1,1^{n-k}}\ra…
math.CO2017★ 1 cited
Parallelogram polyominoes, partially labelled Dyck paths, and the Delta conjecture
Michele D'Adderio, Alessandro Iraci
We introduce area, bounce and dinv statistics on decorated parallelogram polyominoes, and prove that some of their q,t-enumerators match $\langle Δ_{h_m} e_{n+1}, s_{k+1,1^{n-k}} \…
math.CO2017★ 9 cited
Decorated Dyck paths, the Delta conjecture, and a new q,t-square
Michele D'Adderio, Anna Vanden Wyngaerd
We discuss the combinatorics of the decorated Dyck paths appearing in the Delta conjecture framework of Haglund, Remmel and Wilson (2015) and Zabrocki (2016), by introducing two ne…