Geodesic
On solvability of the axial $8$-index assignment problem on one-cycle permutations
Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 5, pp. 66-83

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We study the axial $8$-index assignment problem on one-cycle permutations. For a long time the question of solvability of its set of constraints for one-cycle permutations of length $n$ in the case of $8$ indices remained open. We prove that the set of constraints have a solution if $n$ is odd and greater than $87$. Ill. 4, bibliogr. 11.
Keywords: multi-index assignment problem, axiallity, solvability
Mots-clés : one-cycle permutation. 
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     author = {O. Yu. Tsidulko},
     title = {On solvability of the axial $8$-index assignment problem on one-cycle permutations},
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O. Yu. Tsidulko. On solvability of the axial $8$-index assignment problem on one-cycle permutations. Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 5, pp. 66-83. http://geodesic.mathdoc.fr/item/DA_2013_20_5_a5/