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Upper bounds on the permanent of multidimensional (0,1)-matrices

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 نشر من قبل Anna Taranenko Aleksandrovna
 تاريخ النشر 2014
  مجال البحث
والبحث باللغة English
 تأليف A. A. Taranenko




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The permanent of a multidimensional matrix is the sum of products of entries over all diagonals. By Mincs conjecture, there exists a reachable upper bound on the permanent of 2-dimensional (0,1)-matrices. In this paper we obtain some generalizations of Mincs conjecture to the multidimensional case. For this purpose we prove and compare several bounds on the permanent of multidimensional (0,1)-matrices. Most estimates can be used for matrices with nonnegative bounded entries.



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