Pattern Avoiding (0,1)-Matrices
West Canadian Linear Algebra Meeting, Brandon University
West Canadian Linear Algebra Meeting
May 29-30, 2021
We investigate pattern-avoiding (0, 1)-matrices as generalizations of pattern-avoiding permutations. Our emphasis is on 123-avoiding and 312-avoiding patterns for which we obtain exact results as to the maximum number of 1’s such matrices can have. We also give algorithms which, when carried out in all possible ways, construct all of the pattern-avoiding matrices of these two types.
Cao, Lei and Brualdi, Richard, "Pattern Avoiding (0,1)-Matrices" (2021). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 434.