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math.CO2026
Leaving the Hall: explicit formulas for Neguţ operators
Michele D'Adderio, Giovanni Interdonato, Alessandro Iraci +1
Recent major breakthroughs in -combinatorics include the introduction of the Dyck path algebra by Carlsson and Mellit and of the Catalanimals by Blasiak et…
math.CO2026
On a bijection of Loehr and Remmel
Michele D'Adderio, Alessio Sgubin
In this expository article we review a remarkable bijection due to Loehr and Remmel from the set of parking functions of size n into itself, which sends the bistatistic (din…
math.CO2026
Macdonald characters from a new formula for Macdonald polynomials
Houcine Ben Dali, Michele D'Adderio
We introduce a new operator on symmetric functions, which enables us to obtain a creation formula for Macdonald polynomials. This formula provides a connection between the the…