József Balogh "Independent sets in regular graphs"
József Balogh from University of Illinois will give the talk "Independent sets in regular graphs" on the labs' Big Seminar.
Password: first 6 decimal places of $\pi$ after the decimal point
Estimating the number of independent sets of regular graphs is in the center of attention recently.
The classical result of Korshunov and Sapozhenko in 1983 counts the number of independent sets in the hypercube, and then shows that typical independent sets are not far from the trivial construction. The main focus of the talk to prove similar results for the middle two layers of the hypercube.
This is partly joint work with Bela Bollobas, Ramon I. Garcia, Lina Li, Bhargav Narayanan, Andrew Treglown, Adam Zs. Wagner.
Watch the video:
Everyone is invited to attend. The language of the lecture is English. The event is aimed at master and graduate students, as well as researchers in the field of combinatorics.