66 citations · 420 across the 45 of their papers we have counts for
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Chromatic symmetric functions of Dyck paths and q-rook theory (extended abstract)
Laura Colmenarejo, Alejandro H. Morales, Greta Panova
The chromatic symmetric function (CSF) of Dyck paths of Stanley and its Shareshian-Wachs -analogue have important connections to Hessenberg varieties, diagonal harmonics, and LL…
Sorting probability of Catalan posets
Swee Hong Chan, Igor Pak, Greta Panova
We show that the sorting probability of the Catalan poset} satisfies .
Sorting probability for large Young diagrams
Swee Hong Chan, Igor Pak, Greta Panova
For a finite poset , let denote the set of linear extensions of . The sorting probability is defined as \[δ(P) \, := \, \min_{x,y\in X} \, \b…
Breaking down the reduced Kronecker coefficients
Igor Pak, Greta Panova
We resolve three interrelated problems on \emph{reduced Kronecker coefficients} . First, we disprove the \emph{saturation property} which states that $\overlin…
Upper bounds on Kronecker coefficients with few rows
Igor Pak, Greta Panova
We present three different upper bounds for Kronecker coefficients in terms of Kostka numbers, contingency tables and Littlewood--Richardson coefficients. We then give v…