AbstractAsymptotics are obtained for the number of m×n non-negative integer matrices subject to the following constraints: (i) each row and each column sum is specified and bounded, (ii) the entries are bounded, and (iii) a specified “sparse” set of entries must be zero. The result can be interpreted in terms of incidence matrices for labeled digraphs
Abstract We investigate the number of symmetric matrices of nonnegative integers with zero diagonal ...
AbstractLet s=(s1,…,sm) and t=(t1,…,tn) be vectors of non-negative integer-valued functions with equ...
We define incidence matrices to be zero-one matrices with no zero rows or columns. We are interested...
AbstractAsymptotics are obtained for the number of n × n symmetric non-negative integer matrices sub...
Let s = (s1, ..., sm) and t = (t1, ..., tn) be vectors of nonnegative integer-valued functions of m,...
AbstractLet s=(s1,s2,…,sm) and t=(t1,t2,…,tn) be vectors of non-negative integers with ∑i=1msi=∑j=1n...
AbstractLet s, t, m, n be positive integers such that sm=tn. Define N(s,t;m,n) to be the number of m...
AbstractLet Hnr be the number of n × n matrices, with nonnegative integer elements, all of whose row...
We discuss the problem of counting incidence matrices, i.e. zero-one matrices with no zero rows or c...
Abstract. We discuss the problem of counting incidence matrices, i.e. zero-one matrices with no zero...
AbstractAsymptotics are obtained for the number of m×n non-negative integer matrices subject to the ...
Let s = (s1, s2,..., sm) and t = (t1, t2,..., tn) be vectors of non-negative integers with ∑m i=1 si...
Let s, t, m, n be positive integers such that sm = tn. Let M(m, s; n, t) be the number of m×n matric...
AbstractAsymptotics are obtained for the number of n × n symmetric non-negative integer matrices sub...
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...
Abstract We investigate the number of symmetric matrices of nonnegative integers with zero diagonal ...
AbstractLet s=(s1,…,sm) and t=(t1,…,tn) be vectors of non-negative integer-valued functions with equ...
We define incidence matrices to be zero-one matrices with no zero rows or columns. We are interested...
AbstractAsymptotics are obtained for the number of n × n symmetric non-negative integer matrices sub...
Let s = (s1, ..., sm) and t = (t1, ..., tn) be vectors of nonnegative integer-valued functions of m,...
AbstractLet s=(s1,s2,…,sm) and t=(t1,t2,…,tn) be vectors of non-negative integers with ∑i=1msi=∑j=1n...
AbstractLet s, t, m, n be positive integers such that sm=tn. Define N(s,t;m,n) to be the number of m...
AbstractLet Hnr be the number of n × n matrices, with nonnegative integer elements, all of whose row...
We discuss the problem of counting incidence matrices, i.e. zero-one matrices with no zero rows or c...
Abstract. We discuss the problem of counting incidence matrices, i.e. zero-one matrices with no zero...
AbstractAsymptotics are obtained for the number of m×n non-negative integer matrices subject to the ...
Let s = (s1, s2,..., sm) and t = (t1, t2,..., tn) be vectors of non-negative integers with ∑m i=1 si...
Let s, t, m, n be positive integers such that sm = tn. Let M(m, s; n, t) be the number of m×n matric...
AbstractAsymptotics are obtained for the number of n × n symmetric non-negative integer matrices sub...
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...
Abstract We investigate the number of symmetric matrices of nonnegative integers with zero diagonal ...
AbstractLet s=(s1,…,sm) and t=(t1,…,tn) be vectors of non-negative integer-valued functions with equ...
We define incidence matrices to be zero-one matrices with no zero rows or columns. We are interested...
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