Seminars & Colloquia Calendar

Download as iCal file

Graduate Student Combinatorics Seminar Sponsored by DIMACS

Triangle-Intersecting Families of Graphs

Rashmika Goswami, Rutgers University

Location:  Zoom: please email: to be added to the mailing list
Date & time: Wednesday, 11 November 2020 at 12:15PM - 1:15PM

Abstract: We say a family of graphs is triangle-intersecting if the intersection of any two graphs in the family contains a triangle. If we consider graphs on n vertices, how large can such a family be? It is clear that we can get 1/8 of the graphs by fixing a triangle and taking all of the graphs containing that triangle - such a family is called a ?umvirate. In fact, as Ellis, Filmus, and Friedgut showed in 2012, this is the best we can do: not only is such a family the unique extremal example, it is also stable in the sense that any family with size close to the upper bound is close to a ?umvirate. I will go over this proof, which uses an interesting combination of techniques from different areas of combinatorics.
to be added to the mailing list.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.