Geodesic
On noninteger vertices of the polytope of the three-index axial assignment problem
Diskretnaya Matematika, Tome 13 (2001) no. 2, pp. 120-143.

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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. 
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M. K. Kravtsov; V. M. Kravtsov; E. V. Lukshin. On noninteger vertices of the polytope of the three-index axial assignment problem. Diskretnaya Matematika, Tome 13 (2001) no. 2, pp. 120-143. http://geodesic.mathdoc.fr/item/DM_2001_13_2_a6/

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