Triple systems with bounded matching number: some constructions and exact Turán number

Nannan Chen, Miao Liu, Yuzhen Qi +1

We study the Turán numbers of $3$-graphs avoiding $3$-graphs $F$ and $M_{s+1}^3$, a matching of size $s+1$. We disprove a conjecture of Gerbner, Tompkins, and Zhou [European Journ…