Graphs and Matroids Seminar - Peter Nelson

Thursday, September 19, 2019 4:00 pm - 4:00 pm EDT (GMT -04:00)

Title: The sparsest matroids omitting an independent flat

Speaker: Peter Nelson
Affiliation: University of Waterloo
Room: MC 5501

Abstract:

Given integers $k,r \ge 1$, what is the smallest a rank-$r$ matroid can be that does not contain a $k$-element independent set that is also a flat? I will answer this question, characterize the extremal examples, and draw parallels with a problem in graph theory.