11 citations · 19 across the 15 of their papers we have counts for
20 papers
Pieri rules for skew dual immaculate functions
Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg +1
In this paper we give Pieri rules for skew dual immaculate functions and their recently discovered row-strict counterparts. We establish our rules using a right-action analogue of…
0-Hecke modules for row-strict dual immaculate functions
Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg +2
We introduce a new basis of quasisymmetric functions, the row-strict dual immaculate functions. We construct a cyclic, indecomposable 0-Hecke algebra module for these functions. Ou…
Row-strict dual immaculate functions
Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg +2
We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We establish that this defi…
Deletion-contraction for a unified Laplacian and applications
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We define a graph Laplacian with vertex weights in addition to the more classical edge weights, which unifies the combinatorial Laplacian and the normalised Laplacian. Moreover, we…
Extended chromatic symmetric functions and equality of ribbon Schur functions
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We prove a general inclusion-exclusion relation for the extended chromatic symmetric function of a weighted graph, which specializes to (extended) -deletion, and we give two met…
Chromatic Posets
Samantha Dahlberg, Adrian She, Stephanie van Willigenburg
In 1995 Stanley introduced the chromatic symmetric function of a graph , whose -positivity and Schur-positivity has been of large interest. In this paper we study the r…