4 papers
Symmetric and non-symmetric F-conjectures are equivalent
Maksym Fedorchuk, Anton Mellit
The F-conjecture gives a conjectural description of the ample cone of the Deligne-Mumford moduli space . We prove that the -symmetric and the non-symmetric…
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…
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…
There is no strongly regular graph with parameters (460,153,32,60)
A. V. Bondarenko, A. Mellit, A. Prymak +2
We prove that there is no strongly regular graph (SRG) with parameters (460,153,32,60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some appl…