AbstractIn this paper, we find an expression of the rook vector of a matrix A (not necessarily square) in terms of permanents of some matrices associated with A, and obtain some simple exact formulas for the permanents of all n×n Toeplitz band matrices of zeros and ones whose bands are of width not less than n−1
Applying finite-differences to a generating function produces formulas for the permanent of a matrix...
AbstractWe study the zeros of two families of polynomials related to rook theory and matchings in gr...
AbstractCharacterizations are obtained of those linear operators over certain semirings that preserv...
AbstractIn this paper, we find an expression of the rook vector of a matrix A (not necessarily squar...
AbstractThe concept of rook polynomial of a “chessboard” may be generalized to the rook polynomial o...
AbstractWe obtain convenient expressions and/or efficient algorithms for the permanent of certain ve...
Recently, in the book [A Combinatorial Approach to Matrix Theory and Its Applications, CRC Press (20...
AbstractLet Pnk be the maximum value achieved by the permanent over Λnk, the set of (0,1)-matrices o...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractCharacterizations are obtained of those linear operators on the m × n matrices over an arbit...
AbstractWe present a new efficient method for computing the permanent and Hafnian of certain banded ...
AbstractIf A is a matrix of order n×(n−2), n⩾3, denote by Ā the n×n matrix whose (i,j)th entry is ze...
AbstractThe first section surveys recent results on the permanental polynomial of a square matrix A,...
AbstractLet U(n, τ) be the set of all matrices of 0′s and 1′s of order n with exactly τ 0′s. We obta...
AbstractAn efficient method is presented for evaluating the permanents Pnk of cyclic (0,1) matrices ...
Applying finite-differences to a generating function produces formulas for the permanent of a matrix...
AbstractWe study the zeros of two families of polynomials related to rook theory and matchings in gr...
AbstractCharacterizations are obtained of those linear operators over certain semirings that preserv...
AbstractIn this paper, we find an expression of the rook vector of a matrix A (not necessarily squar...
AbstractThe concept of rook polynomial of a “chessboard” may be generalized to the rook polynomial o...
AbstractWe obtain convenient expressions and/or efficient algorithms for the permanent of certain ve...
Recently, in the book [A Combinatorial Approach to Matrix Theory and Its Applications, CRC Press (20...
AbstractLet Pnk be the maximum value achieved by the permanent over Λnk, the set of (0,1)-matrices o...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractCharacterizations are obtained of those linear operators on the m × n matrices over an arbit...
AbstractWe present a new efficient method for computing the permanent and Hafnian of certain banded ...
AbstractIf A is a matrix of order n×(n−2), n⩾3, denote by Ā the n×n matrix whose (i,j)th entry is ze...
AbstractThe first section surveys recent results on the permanental polynomial of a square matrix A,...
AbstractLet U(n, τ) be the set of all matrices of 0′s and 1′s of order n with exactly τ 0′s. We obta...
AbstractAn efficient method is presented for evaluating the permanents Pnk of cyclic (0,1) matrices ...
Applying finite-differences to a generating function produces formulas for the permanent of a matrix...
AbstractWe study the zeros of two families of polynomials related to rook theory and matchings in gr...
AbstractCharacterizations are obtained of those linear operators over certain semirings that preserv...
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