Algorithms, Combinatorics and Optimization Seminar April 27, 2023 3:00pm — 4:00pm Location: In Person - Wean Hall 8220 Speaker: BORIS BUKH , Professor of Mathematics, Department of Mathematical Sciences, Carnegie Mellon University http://www.borisbukh.org/ Extremal graphs without exponentially-small bicliques In 1954 Kővári, Sós and Turán showed that every $n$-vertex graph not containing $K_{s,t}$ has at most $O(n^{2-1/s})$ edges. We construct graphs matching this bound with $t\approx 9^s$, improving on factorial-type bounds. In this talk, I plan to give a high-level idea of the construction, and to share the sense of excitement by waving my hands a lot. Event Website: https://aco.math.cmu.edu/abs-22-23/apr27.html Add event to Google Add event to iCal