1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CO2023
A combinatorial formula for LLT cumulants of melting lollipops in terms of spanning trees
Maciej Kowalski
We prove a combinatorial formula for LLT cumulants of melting lollipops as a positive combination of LLT polynomials indexed by spanning trees. The result gives an affirmative answ…
math.CO2021
LLT cumulants and graph coloring
Maciej Dołęga, Maciej Kowalski
The purpose of this note is to introduce a new family of quasi-symmetric functions called LLT cumulants and discuss its properties. We define LLT cumulants using the algebraic fram…
math.CO2020★ 1 cited
LLT cumulants of unicellular Young diagrams, parking functions and Schur positivity
Maciej Kowalski
We give a combinatorial formula for LLT cumulants of unicellular unilevelled shapes in terms of parking functions and Cayley trees. Our formula implies previously conjectured Schur…