2 citations · 2 across the 6 of their papers we have counts for
14 papers
Equality of skew Schur functions in noncommuting variables
Emma Yu Jin, Stephanie van Willigenburg
The question of classifying when two skew Schur functions are equal is a substantial open problem, which remains unsolved for over a century. In 2022, Aliniaeifard, Li and van Will…
Generalized chromatic functions
Farid Aliniaeifard, Shu Xiao Li, Stephanie van Willigenburg
We define vertex-colourings for edge-partitioned digraphs, which unify the theory of P-partitions and proper vertex-colourings of graphs. We use our vertex-colourings to define gen…
P-partition power sums
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We develop the theory of weighted P-partitions, which generalises the theory of P-partitions from labelled posets to weighted labelled posets. We define the related generating func…
The chromatic symmetric function of a graph centred at a vertex
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We discover new linear relations between the chromatic symmetric functions of certain sequences of graphs and apply these relations to find new families of e-positive unit interval…
Schur functions in noncommuting variables
Farid Aliniaeifard, Shu Xiao Li, Stephanie van Willigenburg
In 2004 Rosas and Sagan asked whether there was a way to define a basis in the algebra of symmetric functions in noncommuting variables, NCSym, having properties analogous to the c…
Slide multiplicity free key polynomials
Soojin Cho, Stephanie van Willigenburg
Schubert polynomials are refined by the key polynomials of Lascoux-Schützenberger, which in turn are refined by the fundamental slide polynomials of Assaf-Searles. In this paper we…