The relationship between the class \({\mathfrak A}_2(R,S)\) of (0, 1, 2)-matrices and the collection of constellation matrices
\textit{R. A. Brualdi} and \textit{T. S. Michael} [Linear Algebra Appl. 114/115, 181-198 (1989; Zbl 0727.05012)] have given arithmetic conditions necessary for a set of matrices to serve simultaneously as the 1-pattern matrices for parsimonious matrices in a given class \({\mathfrak A}_2(R, S)\) of \((0,1,2)\)-matrices with prescribed row sum vectors \(R\) and column sum vectors \(S\). The present paper proves constructively that these conditions are also sufficient.
scientific article; zbMATH DE number 1331366