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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}} \…