Pattern Avoiding (0,1)-Matrices

Event Name/Location

West Canadian Linear Algebra Meeting, Brandon University

Date Range

May 29-30, 2021

Presentation Date

5-2021

Document Type

Conference Presentation

Presenters / Authors

Lei Cao, Nova Southeastern UniversityFollow
Richard Brualdi, University of Wisconsin - Madison

ORCID ID

0000-0001-7613-7191

ResearcherID

G-7341-2019

Description

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.

NSUWorks Citation

Cao, Lei and Brualdi, Richard, "Pattern Avoiding (0,1)-Matrices" (2021). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 434.
https://nsuworks.nova.edu/cnso_math_facpres/434