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University of Birmingham > Talks@bham > Combinatorics and Probability seminar > Hypergraphs with many extremal configurations
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If you have a question about this talk, please contact M.Jenssen. For every positive integer $t$ we construct a finite family of triple systems $M_t$, determine its Tur\’{a}n number, and show that there are $t$ extremal $M_t$-free configurations that are far from each other in edit-distance. We also prove a strong stability theorem: every $M_t$-free triple system whose size is close to the maximum size is a subgraph of one of these $t$ extremal configurations after removing a small proportion of vertices. This is joint work with Xizhi Liu and Dhruv Mubayi. This talk is part of the Combinatorics and Probability seminar series. This talk is included in these lists:
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