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A combinatorial theorem with an application to latin rectangles. (English) Zbl 0043.01202


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[1] C. J. Everett and G. Whaples, Representations of sequences of sets, Amer. J. Math. 71 (1949), 287 – 293. · Zbl 0034.17801 · doi:10.2307/2372244
[2] Marshall Hall, An existence theorem for Latin squares, Bull. Amer. Math. Soc. 51 (1945), 387 – 388. · Zbl 0060.02801
[3] Marshall Hall Jr., Distinct representatives of subsets, Bull. Amer. Math. Soc. 54 (1948), 922 – 926. · Zbl 0032.27101
[4] P. Hall, On representatives of subsets, J. London Math. Soc. vol. 10 (1935) pp. 26-30. · Zbl 0010.34503
[5] Dénes König, Über Graphen und ihre Anwendung auf Determinantentheorie und Mengenlehre, Math. Ann. 77 (1916), no. 4, 453 – 465 (German). · JFM 46.0146.03 · doi:10.1007/BF01456961
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