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Original Articles

Minimum Permanents of Tridiagonal Doubly Stochastic Matrices

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Pages 301-306 | Published online: 18 Oct 2010

  • Brualdi , R.A. and Gibson , P.M. 1977 . The convex polyhedron of doubly stochastic matrices: I. Applications of the permanent function . J. Combin. Theory (A) , 21 : 194 – 230 .
  • Egorycev , O.P. 1981 . Solution of the van der Waerden problem for permanent . Soviet Math. Dokl. , 23 (3) : 619 – 622 .
  • Foregger , T.H. 1980 . On the minimum value of the permanent of a nearly decomposable doubly stochastic matrix . Linear Algebra Appl. , 32 : 75 – 85 .
  • Mine , H. 1984 . Minimum permanents of doubly stochastic matrices with prescribed zero entries . Linear and Multilinear Algebra , 15 : 225 – 243 .
  • Song , S.Z. , Hong , S.M. , Jun , Y.B. and Kim , S.J. 1997 . Minimum permanents on a face of the polytope of doubly stochastic matrices . Linear Algebra Appl. , 259 : 169 – 182 .

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