Geodesic
A Note on the van Der Waerden Permanent Conjecture
Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 352-354

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The permanent of an n-square complex matrix P = (pij ) is defined by where the summation extends over Sn , the symmetric group of degree n. This matrix function has considerable significance in certain combinatorial problems [6; 7]. The properties and many related problems about the permanent are presented in [3] along with an extensive bibliography. 
Dubois, Jacques. A Note on the van Der Waerden Permanent Conjecture. Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 352-354. doi: 10.4153/CJM-1974-036-4
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[1] 1. Eberlein, P. J. and Mudholkar, G. S., Some remarks on the van der Waerden Conjecture, J. Combinatorial Theory 5 (1968), 386–396. Google Scholar

[2] 2. Eberlein, P. J., Remarks on the van der Waerden Conjecture, II, Linear Algebra and Appl. 2 (1969), 311–320. Google Scholar

[3] 3. Marcus, Marvin and Minc, Henryk, Permanents, Amer. Math. Monthly 72 (1965), 577–591. Google Scholar

[4] 4. Marcus, Marvin and Newman, Morris, On the minimum of the permanent of a doubly stochastic matrix, Duke Math. J. 26 (1959), 61–72. Google Scholar

[5] 5. Ryser, H. J., Combinatorial mathematics (Carus Math. Monograph no. 14, 1963). Google Scholar

[6] 6. Ryser, H. J., Permanents and systems of distinct representatives (with discussion), Combinatorial Mathematics and its Applications (Proc. Conf., Univ. North Carolina, Chapel Hill, N.C., 1967) pp. 55-70. Univ. North Carolina Press, Chapel Hill, N.C., 1969. Google Scholar

[7] 7. van der Waerden, B. L., Aufgabe 45, Jber. Deutsch. Math.-Verein. 35 (1926), 117. Google Scholar

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