1 citations · 1 across the 5 of their papers we have counts for
6 papers
Equality of Dual Immaculate Functions Under Automorphisms
Maria Esipova, Stephanie van Willigenburg
The dual immaculate functions are an example of a Schur-like basis in the algebra of quasisymmetric functions. We classify when the image of a dual immaculate function under one of…
A Schur-positivity classification for complete multipartite graphs
Ethan Shelburne, Stephanie van Willigenburg
A graph is Schur-positive if its chromatic symmetric function expands non-negatively in the Schur basis. We determine a full Schur-positivity classification for complete multiparti…
Minimal elements in the skew extended 0-Hecke poset
Nadia Lafrenière, Rosa Orellana, Anna Pun +3
The row-strict 0-Hecke action on standard immaculate skew tableaux was studied by the present authors, who showed that it gives rise to a bounded poset, called the \emph{skew immac…
Schur-positivity for generalized nets
Ethan Shelburne, Stephanie van Willigenburg
A graph is Schur-positive if its chromatic symmetric function expands nonnegatively in the Schur basis. All claw-free graphs are conjectured to be Schur-positive. We introduce a co…
The skew immaculate Hecke poset and 0-Hecke modules
Nadia Lafrenière, Rosa Orellana, Anna Pun +3
The immaculate Hecke poset was introduced and investigated by Niese, Sundaram, van Willigenburg, Vega and Wang, who established the full poset structure, and determined modules for…
The extra basis in noncommuting variables
Farid Aliniaeifard, Stephanie van Willigenburg
We answer a question of Bergeron, Hohlweg, Rosas, and Zabrocki from 2006 to give a combinatorial description for the coproduct of the x-basis in the Hopf algebra of symmetric funct…