AbstractIf A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i, j such that the matrix obtained by replacing both the ith column of A with their average has a smaller permanent than that of A. A result which is stronger than the Egorychev-Falikman theorem on permanents is also proved
AbstractIf A and B are n × n doubly stochastic matrices such that per[rA + (1 − r)B] = per A for all...
AbstractLet Pn denote the permutation matrix corresponding to the n-cycle (1 2 … n), and let K2 deno...
AbstractIt is shown that for each n ⩾ 7 there exists an n × n, irreducible, doubly stochastic matrix...
If A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i, j such...
AbstractIf A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i...
AbstractA conjecture on the permanents of doubly stochastic matrices is proposed. Some results suppo...
We give a concise exposition of the elegant proof given recently by Leonid Gurvits for several lowe...
AbstractA conjecture on the permanents of doubly stochastic matrices is proposed. Some results suppo...
AbstractLet A be a minimizing matrix for the permanent over the face of Ωn determined by a fully ind...
AbstractIf A and B are n × n doubly stochastic matrices such that per[rA + (1 − r)B] = per A for all...
AbstractWe consider the minimum permanents and minimising matrices on the faces of the polytope of d...
AbstractFor positive integers r, n with n⩾r+1, letDr,n=OrJJIn,where Js denote the matrices of 1s of ...
AbstractWe determine the minimum permanent on generalized Hessenberg faces of the polytope of doubly...
AbstractWe determine the minimum permanents and minimizing matrices over certain faces of the polyto...
Let pk(A), k = 1, , n, denote the sum of the permanents of all & X & submatrices of the n X ...
AbstractIf A and B are n × n doubly stochastic matrices such that per[rA + (1 − r)B] = per A for all...
AbstractLet Pn denote the permutation matrix corresponding to the n-cycle (1 2 … n), and let K2 deno...
AbstractIt is shown that for each n ⩾ 7 there exists an n × n, irreducible, doubly stochastic matrix...
If A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i, j such...
AbstractIf A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i...
AbstractA conjecture on the permanents of doubly stochastic matrices is proposed. Some results suppo...
We give a concise exposition of the elegant proof given recently by Leonid Gurvits for several lowe...
AbstractA conjecture on the permanents of doubly stochastic matrices is proposed. Some results suppo...
AbstractLet A be a minimizing matrix for the permanent over the face of Ωn determined by a fully ind...
AbstractIf A and B are n × n doubly stochastic matrices such that per[rA + (1 − r)B] = per A for all...
AbstractWe consider the minimum permanents and minimising matrices on the faces of the polytope of d...
AbstractFor positive integers r, n with n⩾r+1, letDr,n=OrJJIn,where Js denote the matrices of 1s of ...
AbstractWe determine the minimum permanent on generalized Hessenberg faces of the polytope of doubly...
AbstractWe determine the minimum permanents and minimizing matrices over certain faces of the polyto...
Let pk(A), k = 1, , n, denote the sum of the permanents of all & X & submatrices of the n X ...
AbstractIf A and B are n × n doubly stochastic matrices such that per[rA + (1 − r)B] = per A for all...
AbstractLet Pn denote the permutation matrix corresponding to the n-cycle (1 2 … n), and let K2 deno...
AbstractIt is shown that for each n ⩾ 7 there exists an n × n, irreducible, doubly stochastic matrix...
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