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math.CO2025
On Macdonald expansions of -chromatic symmetric functions and the Stanley-Stembridge Conjecture
Sean T. Griffin, Anton Mellit, Marino Romero +2
The Stanley-Stembridge conjecture asserts that the chromatic symmetric function of a -free graph is -positive. Recently, Hikita proved this conjecture by giving an explic…
math.CO2025
On the global dimension of Nakayama algebras
Viktória Klász, René Marczinzik, Anton Mellit +2
We study the global dimension of Nakayama algebras. In the case of linear Nakayama algebras, which are in canonical bijection to Dyck paths, we show that the global dimension has t…