2 citations · 2 across the 6 of their papers we have counts for
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Peak Quasisymmetric Functions and Eulerian Enumeration
Louis J. Billera, Samuel K. Hsiao, Stephanie van Willigenburg
Via duality of Hopf algebras, there is a direct association between peak quasisymmetric functions and enumeration of chains in Eulerian posets. We study this association explicitly…
Multiplicity free expansions of Schur -functions
Kristin M. Shaw, Stephanie van Willigenburg
After deriving inequalities on coefficients arising in the expansion of a Schur -function in terms of Schur functions we give criteria for when such expansions are multiplicity…
Enumerative properties of Ferrers graphs
Richard Ehrenborg, Stephanie van Willigenburg
We define a class of bipartite graphs that correspond naturally with Ferrers diagrams. We give expressions for the number of spanning trees, the number of Hamiltonian paths when ap…
Properties of the descent algebras of type
Stephanie van Willigenburg
We establish simple combinatorial descriptions of the radical and irreducible representations specifically for the descent algebra of a Coxeter group of type over any field.
The -modular descent algebras
M. D. Atkinson, G. Pfeiffer, S. J. van Willigenburg
The concept of descent algebras over a field of characteristic zero is extended to define descent algebras over a field of prime characteristic. Some basic algebraic structure of t…
A Proof of Solomon's Rule
Stephanie J. van Willigenburg
We put forward a proof of Solomon's rule, in terms of matrices, for multiplication in the descent algebra of the symmetric group. Our proof exploits the graphs that we can obtain f…