215 citations · 837 across the 23 of their papers we have counts for
23 papers
Ehrhart polynomials of partial permutohedra
Roger E. Behrend
For positive integers and , the partial permutohedron is a certain integral polytope in , which can be defined as the convex hull of the vec…
Diagonally symmetric alternating sign matrices
Roger E. Behrend, Ilse Fischer, Christoph Koutschan
The enumeration of diagonally symmetric alternating sign matrices (DSASMs) is studied, and a Pfaffian formula is obtained for the number of DSASMs of any fixed size, where the entr…
Partial permutohedra
Roger E. Behrend, Federico Castillo, Anastasia Chavez +4
Partial permutohedra are lattice polytopes which were recently introduced and studied by Heuer and Striker. For positive integers and , the partial permutohedron $\mathcal{P…
Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions
Arvind Ayyer, Roger E. Behrend
We show that, for a certain class of partitions and an even number of variables of which half are reciprocals of the other half, Schur polynomials can be factorized into products o…
Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order
Arvind Ayyer, Roger E. Behrend, Ilse Fischer
For each , we count diagonally and antidiagonally symmetric alternating sign matrices (DASASMs) of fixed odd order with a maximal number of 's along the diagon…
Diagonally and antidiagonally symmetric alternating sign matrices of odd order
Roger E. Behrend, Ilse Fischer, Matjaž Konvalinka
We study the enumeration of diagonally and antidiagonally symmetric alternating sign matrices (DASASMs) of fixed odd order by introducing a case of the six-vertex model whose confi…