|Title: Stability and applications of quadrilaterals|
|Speaker: Jie Ma of The University of Science and Technology of China|
|Contact: Dwight Duffus, email@example.com|
|Date: 2019-09-30 at 4:00PM|
|Venue: MSC E406|
A famous theorem of Furedi states that for any integer $q \geq 15$, any $C_4$-free graph on $q^2+q+1$ vertices has at most $q(q+1)^2/2$ edges. It is well-known that this bound is tight for infinitely many integers $q$, by polarity graphs constructed from finite projective planes. In this talk, we will present a stability result of Furedi's theorem and then discuss its applications on extremal numbers of $C_4$. Joint work with Jialin He and Tianchi Yang.
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