Department of

Mathematics

Seminar Calendar
for events the day of Tuesday, March 26, 2019.

.
events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    February 2019            March 2019             April 2019
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2                   1  2       1  2  3  4  5  6
3  4  5  6  7  8  9    3  4  5  6  7  8  9    7  8  9 10 11 12 13
10 11 12 13 14 15 16   10 11 12 13 14 15 16   14 15 16 17 18 19 20
17 18 19 20 21 22 23   17 18 19 20 21 22 23   21 22 23 24 25 26 27
24 25 26 27 28         24 25 26 27 28 29 30   28 29 30
31


Tuesday, March 26, 2019

1:00 pm in Altgeld Hall,Tuesday, March 26, 2019

To Be Announced

1:00 pm in 345 Altgeld Hall,Tuesday, March 26, 2019

Cancelled

2:00 pm in 243 Altgeld Hall,Tuesday, March 26, 2019

Linearity of Saturation for Berge Hypergraphs

Sean English (Ryerson University)

Abstract: For a graph $F$, we say a hypergraph $H$ is Berge-$F$ if it can be obtained from $F$ be replacing each edge of $F$ with a hyperedge containing it. We say a hypergraph is Berge-$F$-saturated if it does not contain a Berge-$F$, but adding any hyperedge creates a copy of Berge-$F$. The $k$-uniform saturation number of Berge-$F$, $\mathrm{sat}_k(n,\text{Berge-}F)$ is the fewest number of edges possible over all Berge-$F$-saturated $k$-uniform hypergraphs on $n$ vertices.

In this talk we will explore some specific saturation numbers for Berge hypergraphs. We will also see that at least for small uniformities, these numbers grow linearly with $n$, extending a classical result of Kászonyi and Tuza. Finally, we will mention many interesting open problems in this area of research.

3:00 pm in 243 Altgeld Hall,Tuesday, March 26, 2019

No Seminar This Week

TBA

4:00 pm in 245 Altgeld Hall,Tuesday, March 26, 2019

Altgeld-Illini Renovation/Building Project Feedback Session

Abstract: This feedback session will focus on classrooms and technology