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Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix

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Literature cited

  1. B. L. van der Waerden, “Aufgabe 45,” Jber. Deutsch. Math. Verein.,35, 117 (1926).

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  2. M. Marcus and M. Newman, “On the minimum of the permanent of a doubly stochastic matrix,” Duke Math. J.,26, 61–72 (1959).

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  3. H. J. Ryser, Combinatorial Mathematics, Math. Assoc. Am. (1963).

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Authors and Affiliations

  1. Scientific-Research Institute of Automatized Systems of Planning and Control in Construction, Gosstroya, Ukrainian SSR

    D. I. Falikman

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  1. D. I. Falikman
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Translated from Matematicheskie Zametki, Vol. 29, No. 6, pp. 931–938, June, 1981.

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Falikman, D.I. Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix. Mathematical Notes of the Academy of Sciences of the USSR 29, 475–479 (1981). https://doi.org/10.1007/BF01163285

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  • DOI: https://doi.org/10.1007/BF01163285

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