Geodesic
An upper bound for the $\alpha$-height of $(0,1)$-matrices
Matematičeskie zametki, Tome 15 (1974) no. 3, pp. 421-429.

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We obtain an upper bound for the $\alpha$-height of an arbitrary matrix of zeros and ones. We apply the result to a number of known combinatorial problems. By a $(0,1)$ matrix here we mean an arbitrary matrix whose elements are zeros and ones. 
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     author = {V. K. Leont'ev},
     title = {An upper bound for the $\alpha$-height of $(0,1)$-matrices},
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V. K. Leont'ev. An upper bound for the $\alpha$-height of $(0,1)$-matrices. Matematičeskie zametki, Tome 15 (1974) no. 3, pp. 421-429. http://geodesic.mathdoc.fr/item/MZM_1974_15_3_a8/