The Extreme Points of Certain Polytopes
American Mathematical Society Spring Southeastern Sectional Meeting, Auburn, Alabama, March 15-17, 2019
We investigate convex polytopes of doubly stochastic matrices having special structures: symmetric, Hankel symmetric, centrosymmetric, and both symmetric and Hankel symmetric. We determine dimensions of these poly- topes and classify their extreme points. We also determine a basis of the real vector spaces generated by permutation matrices with these special structures.
Brualdi, Richard and Cao, Lei, "The Extreme Points of Certain Polytopes" (2019). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 404.