On the Geometry of the Birkhoff Polytope. I. The operator ${\ell }_n^p$-norms

Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin

The geometry of the Birkhoff polytope, i.e., the compact convex set of all $n\times n$ doubly stochastic matrices, has been an active subject of research. While its faces, edges a…