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An alternate proof of the Thompson replacement theorem

โœ Scribed by I.M Isaacs


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
78 KB
Volume
15
Category
Article
ISSN
0021-8693

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Let A=(a i, j ) be an n\_n 0-1 matrix. Let S be the set of permutations \_ of [n] such that a i, \_(i) =1 for i=1, 2, ..., n. Then, the permanent of A is perm(A) = def |S|. For a pair of random variables (X, Y ) (with some joint distribution) and x # support[X ], let Y x be a random variable such t