22 citations · 43 across the 6 of their papers we have counts for
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math.CO2005★ 22 cited
Bergman Complexes, Coxeter Arrangements, and Graph Associahedra
Federico Ardila, Victor Reiner, Lauren Williams
Tropical varieties play an important role in algebraic geometry. The Bergman complex B(M) and the positive Bergman complex B+(M) of an oriented matroid M generalize to matroids the…
math.RT2005★ 5 cited
Shelling totally nonnegative flag varieties
Lauren K. Williams
In this paper we study the partially ordered set Q^J of cells in Rietsch's cell decomposition of the totally nonnegative part of an arbitrary flag variety P^J_{\geq 0}. Our goal is…
math.CO2005
Permutation Tableaux and Permutation Patterns
Einar Steingrimsson, Lauren K. Williams
In this paper we introduce and study a class of tableaux which we call permutation tableaux; these tableaux are naturally in bijection with permutations, and they are a distinguish…