3 papers
math.CO2024
A Proof of the Symmetric Theta Conjecture when q = 0
Alessandra Caraceni, Alessandro Iraci
In 10.1093/imrn/rnac258, the authors conjecture a combinatorial formula for the expressions , known as Symmetric Theta Trees Conjecture, in terms of tiered trees…
math.CO2024
Shuffle theorems and sandpiles
Michele D'Adderio, Mark Dukes, Alessandro Iraci +3
We provide an explicit description of the recurrent configurations of the sandpile model on a family of graphs , which we call clique-independent graphs, indexed…
math.CO2024
Smirnov words and the Delta Conjectures
Alessandro Iraci, Philippe Nadeau, Anna Vanden Wyngaerd
We provide a combinatorial interpretation of the symmetric function in terms of segmented Smirnov words. The motivation for this…