Dömötör Pálvölgyi "At most $4.47^n$ stable matchings"
Dömötör Pálvölgyi from Eötvös Loránd University, Hungary gave the talk "At most $4.47^n$ stable matchings" on the labs' Big Seminar.
Password: first 6 decimal places of $\pi$ after the decimal point
We improve the upper bound for the maximum possible number of stable matchings among n men and n women from $O(131072^n)$ to $O(4.47^n)$. To establish this bound, we develop a novel formulation of a probabilistic technique that is easy to apply and may be of independent interest in counting other combinatorial objects. Joint work with Cory Palmer.
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.