Nathan Williams

most citedW-Associahedra are In-Your-Face

4 citations · 7 across the 2 of their papers we have counts for

collaborators

3 papers

math.CO2015

Noncrossing partitions and Bruhat order

Thomas Gobet, Nathan Williams

We prove that the restriction of Bruhat order to noncrossing partitions in type $A_{n}$ for the Coxeter element $c = s_{1} s_{2} ... s_{n}$ forms a distributive lattice isomorphic to the order…

math.CO2015★ 4 cited

W-Associahedra are In-Your-Face

Nathan Williams

We use a projection argument to uniformly prove that $W$ -permutahedra and $W$ -associahedra have the property that if $v, v^{'}$ are two vertices on the same face $f$ , then any geodesic…

math.CO2012★ 3 cited

Cyclic Symmetry of the Scaled Simplex

Hugh Thomas, Nathan Williams

Let Z_m^k consist of the m^k alcoves contained in the m-fold dilation of the fundamental alcove of the type A_k affine hyperplane arrangement. As the fundamental alcove has a cycli…