Enumeration of vertices of a polyhedron of polystochastic matrices of small order and dimension

The report will present a method for computer search of vertices of a polyhedron of polystochastic matrices of fixed dimension and order. With this method , we found all vertices of polyhedrons of 4-dimensional polystochastic matrices of order 3 and 3-dimensional polystochastic matrices of order 4. In addition, for the listed vertices, such parameters as permanent, symmetry, support size and sets of values ​​that their elements take were investigated.