Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Title

The Extreme Points of Certain Polytopes

Event Name/Location

American Mathematical Society Spring Southeastern Sectional Meeting, Auburn, Alabama, March 15-17, 2019

Document Type

Conference Proceeding

Publication Date

3-15-2019

Abstract

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.

ORCID ID

0000-0001-7613-7191

ResearcherID

G-7341-2019

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