This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matrices of zeros and ones with row and column sum vectors R and S, respectively. With the new formula, the computing time is greatly shortened
AbstractWe study the 0–1 matrices whose squares are still 0–1 matrices and determine the maximal num...
AbstractThe number of m × n zero-one matrices without consecutive ones in any row or column is expre...
AbstractIt is shown that Zn/n·2n2 - n + 1→1, where Zn is the number of n × n (0,1)-matrices with zer...
This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matric...
AbstractThis paper gives a reduced formula for the precise number of matrices in A(R,S), the class o...
AbstractA formula that calculates the number of n×m matrices in A(R,S) was presented by Wang (Sci. s...
AbstractGale and Ryser have given a necessary and sufficient condition for the existence of a matrix...
Let R and S be non-negative and non-increasing vectors of order m and n respectively. We consider th...
AbstractGale and Ryser have given a necessary and sufficient condition for the existence of a matrix...
AbstractWe study the class U2(R,S) of all (0, 1, 2)-matrices with a prescribed row sum vector R and ...
Let s, t, m, n be positive integers such that sm=tn. Define N(s,t;m,n) to be the number of m×n matri...
AbstractWe study the existence of (0,1)-matrices with given line sums and a fixed zero block. An alg...
Let s = (s1, s2, ..., sm) and t = (t1, t2, ..., tn) be vectors of non-negative integers with ∑i = 1m...
Let s = (s1, s2,..., sm) and t = (t1, t2,..., tn) be vectors of non-negative integers with ∑m i=1 si...
AbstractLet s, t, m, n be positive integers such that sm=tn. Define N(s,t;m,n) to be the number of m...
AbstractWe study the 0–1 matrices whose squares are still 0–1 matrices and determine the maximal num...
AbstractThe number of m × n zero-one matrices without consecutive ones in any row or column is expre...
AbstractIt is shown that Zn/n·2n2 - n + 1→1, where Zn is the number of n × n (0,1)-matrices with zer...
This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matric...
AbstractThis paper gives a reduced formula for the precise number of matrices in A(R,S), the class o...
AbstractA formula that calculates the number of n×m matrices in A(R,S) was presented by Wang (Sci. s...
AbstractGale and Ryser have given a necessary and sufficient condition for the existence of a matrix...
Let R and S be non-negative and non-increasing vectors of order m and n respectively. We consider th...
AbstractGale and Ryser have given a necessary and sufficient condition for the existence of a matrix...
AbstractWe study the class U2(R,S) of all (0, 1, 2)-matrices with a prescribed row sum vector R and ...
Let s, t, m, n be positive integers such that sm=tn. Define N(s,t;m,n) to be the number of m×n matri...
AbstractWe study the existence of (0,1)-matrices with given line sums and a fixed zero block. An alg...
Let s = (s1, s2, ..., sm) and t = (t1, t2, ..., tn) be vectors of non-negative integers with ∑i = 1m...
Let s = (s1, s2,..., sm) and t = (t1, t2,..., tn) be vectors of non-negative integers with ∑m i=1 si...
AbstractLet s, t, m, n be positive integers such that sm=tn. Define N(s,t;m,n) to be the number of m...
AbstractWe study the 0–1 matrices whose squares are still 0–1 matrices and determine the maximal num...
AbstractThe number of m × n zero-one matrices without consecutive ones in any row or column is expre...
AbstractIt is shown that Zn/n·2n2 - n + 1→1, where Zn is the number of n × n (0,1)-matrices with zer...