AbstractGale and Ryser have given a necessary and sufficient condition for the existence of a matrix of zeros and ones with specified row and column sums. Though in general it appears quite difficult to compute the number of such matrices, it is shown in this note that it is possible to obtain a quite elementary and easily used formula in a large number of interesting cases
AbstractWe study (0, 1)-matrices which contain no triangles (submatrices of order 3 with row and col...
AbstractThis paper explicitly constructs non-singular 0-1 matrices of dimensions n with constant row...
AbstractLet A be a nonnegative real matrix whose column set is countable. We give a necessary and su...
AbstractGale and Ryser have given a necessary and sufficient condition for the existence of a matrix...
AbstractThis paper gives a reduced formula for the precise number of matrices in A(R,S), the class o...
This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matric...
AbstractWe study the existence of (0,1)-matrices with given line sums and a fixed zero block. An alg...
This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matric...
We present additional equivalent conditions on the existence of a 0 1 symmetric matrix with given ro...
We present additional equivalent conditions on the existence of a 0 1 symmetric matrix with given ro...
Let R and S be non-negative and non-increasing vectors of order m and n respectively. We consider th...
AbstractGiven a symmetric n × n matrix A and n numbers r1,…,rn, necessary and sufficient conditions ...
AbstractLet m and n be positive integers, and let R=(r1,…,rm) and S=(s1,…,sn) be nonnegative integra...
AbstractD. Gale, in 1957 and H.J. Ryser, in 1963, independently proved the famous Gale–Ryser theorem...
AbstractWe study the class U2(R,S) of all (0, 1, 2)-matrices with a prescribed row sum vector R and ...
AbstractWe study (0, 1)-matrices which contain no triangles (submatrices of order 3 with row and col...
AbstractThis paper explicitly constructs non-singular 0-1 matrices of dimensions n with constant row...
AbstractLet A be a nonnegative real matrix whose column set is countable. We give a necessary and su...
AbstractGale and Ryser have given a necessary and sufficient condition for the existence of a matrix...
AbstractThis paper gives a reduced formula for the precise number of matrices in A(R,S), the class o...
This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matric...
AbstractWe study the existence of (0,1)-matrices with given line sums and a fixed zero block. An alg...
This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matric...
We present additional equivalent conditions on the existence of a 0 1 symmetric matrix with given ro...
We present additional equivalent conditions on the existence of a 0 1 symmetric matrix with given ro...
Let R and S be non-negative and non-increasing vectors of order m and n respectively. We consider th...
AbstractGiven a symmetric n × n matrix A and n numbers r1,…,rn, necessary and sufficient conditions ...
AbstractLet m and n be positive integers, and let R=(r1,…,rm) and S=(s1,…,sn) be nonnegative integra...
AbstractD. Gale, in 1957 and H.J. Ryser, in 1963, independently proved the famous Gale–Ryser theorem...
AbstractWe study the class U2(R,S) of all (0, 1, 2)-matrices with a prescribed row sum vector R and ...
AbstractWe study (0, 1)-matrices which contain no triangles (submatrices of order 3 with row and col...
AbstractThis paper explicitly constructs non-singular 0-1 matrices of dimensions n with constant row...
AbstractLet A be a nonnegative real matrix whose column set is countable. We give a necessary and su...
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