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On the minimum of the permanent of a doubly stochastic matrix

โœ Scribed by Marcus, Marvin; Newman, Morris


Book ID
125443133
Publisher
Duke University Press
Year
1959
Tongue
English
Weight
764 KB
Volume
26
Category
Article
ISSN
0012-7094

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Seok-Zun Song; Sung Min Hong; Young-Bae Jun; Seon-Jeong Kim ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 619 KB

For n 3 6, we determine the minimum permanents and minimizing matrices on the faces of R3+,, the polytope of (3 + n) x (3 + n) doubly stochastic matrices. whose nonzero entries coincide with those of where J is the matrix with all entries equal 1, I the identity matrix, and 0 the zero matrix.

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We consider the minimum permanents and minimising matrices on the faces of the polytope of doubly stochastic matrices whose nonzero entries coincide with those of, respectively, . Here J r,s denotes the r ร— s matrix all of whose entries are 1, I n is the identity matrix of order n and 0 m is the m