Forbidden configurations: Induction and linear algebra
Recall that an \(m \times m\) matrix \(A\) with 0's and 1's as entries is called simple if no column of \(A\) is repeated. Let \({\mathcal F}\) be a set of matrices. We say \(A\) has a forbidden configuration with respect to \({\mathcal F}\) if there is a submatrix of \(A\) which, after a possible reordering of the rows and columns, is in \({\mathcal F}\). In this article, Anstee provides some further results from his studies about `forbidden configurations'. Earlier work by the author about this subject has appeared in [J. Comb. Theory, Ser. A 40, No. 1, 108-124 (1985; Zbl 0619.05015)] and in [J. Comb. Theory, Ser. A 47, No. 1, 16-27 (1988; Zbl 0672.05003)].
scientific article; zbMATH DE number 798910