On noninteger vertices of the polytope of the three-index axial assignment problem

We consider non-integer vertices of the polytope of three-index axial assignment problem. In particular, rather sharp lower bounds are obtained, as well as some formulas to count $r$-non-integer vertices of the polytope, i.e., the vertices with exactly $r$ non-integer components.
This research was supported by the Byelorussian Republican Foundation for Basic Research, grant $\Phi$97–266.