8 citations · 20 across the 20 of their papers we have counts for
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A property of the Birkhoff polytope
Barbara Baumeister, Frieder Ladisch
The Birkhoff polytope is the convex hull of all permutation matrices in . We compute the combinatorial symmetry group of the Birkhoff poly…
On permutation polytopes - notions of equivalence
Barbara Baumeister, Matthias Grueninger
We clarify the notion of effective equivalence and characterize geometrically the effectively equivalent permutation groups. In particular, we present examples showing that the lat…
Polytopes associated to Dihedral Groups
Barbara Baumeister, Christian Haase, Benjamin Nill +1
In this note we investigate the convex hull of those -permutation matrices that correspond to symmetries of a regular -gon. We give the complete facet description. A…
Permutation Polytopes of Cyclic Groups
Barbara Baumeister, Christian Haase, Benjamin Nill +1
We investigate the combinatorics and geometry of permutation polytopes associated to cyclic permutation groups, i.e., the convex hulls of cyclic groups of permutation matrices. We…
On permutation polytopes
Barbara Baumeister, Christian Haase, Benjamin Nill +1
A permutation polytope is the convex hull of a group of permutation matrices. In this paper we investigate the combinatorics of permutation polytopes and their faces. As applicatio…