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Literature Cited
B. L. van der Waerden, “Aufgabe 45,” Jber. Deutsch. Math. Verein.,35, 117 (1926).
H. Minc, Permanents, Encyclopedia of Mathematics and Its Applications, Vol. 6, Addison-Wesley, Reading, Mass. (1978).
M. Marcus and H. Minc “Permanents,” Am. Math. Mon.,72, 577–591 (1965).
A. D. Aleksandrov, “On the theory of mixed volumes of convex bodies, Part IV,” Mat. Sb.,3, 227–251 (1938).
M. Marcus and M. Newman, “On the minimum of the permanent of a doubly stochastic matrix,” Duke Math. J.,26, 61–72 (1959).
D. London, “Some notes on the van der Waerden conjecture,” Linear Algebra Appl.,4, 155–160 (1971).
J. M. Hammersley, “An improved lower bound for the multidimensional dimer problem,” Proc. Cambridge Phil. Soc.,64, 455–463 (1968).
R. M. Wilson, “Nonisomorphic Steiner triple systems,” Math. Z.,135, No. 4, 303–313 (1974).
H. J. Ryser, Combinatorial Mathematics, Wiley, New York (1963).
G. P. Egorychev, “New formulas for the permanent,” Dokl. Akad. Nauk SSSR,254, No. 4, 784–787 (1980).
Yu. D. Burago and V. A. Zaigaller, Geometric Inequalities [in Russian], Nauka, Leningrad (1980).
J. Doyen and G. Valette, “On the number of non-isomorphic Steiner triple systems,” Math. Z.,120, No. 2, 178–192 (1971).
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L. V. Kirenskii Institute of Physics, Siberian Branch, Academy of Sciences of the SSSR, Krasnoyarsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 22, No. 6, pp. 65–71, November–December, 1981.
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Erorychev, G.P. Proof of the van der Waerden conjecture for permanents. Sib Math J 22, 854–859 (1981). https://doi.org/10.1007/BF00968054
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DOI: https://doi.org/10.1007/BF00968054
