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An upper bound for the permanent of (0,1)-matrices

✍ Scribed by Heng Liang; Fengshan Bai


Book ID
108198640
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
159 KB
Volume
377
Category
Article
ISSN
0024-3795

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An upper bound for the permanent of a no
✍ Suk-Geun Hwang; Arnold R. KrΓ€uter; T.S. Michael πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 311 KB

Let A be a fully indecomposable, nonnegative matrix of order n with row sums rt,..., ~;,, and let s~ equal the smallest positive element in row i of A. We prove the permanental inequality 11 II per(A) ~< 1-I s, + IX('"-s;) i::1 i::1 and characterize the case of equality. In 1984 Donald, Elwin, Hager