Note on the Turán number of the $3$-linear hypergraph $C_{13}$

Chaoliang Tang, Hehui Wu, Shengtong Zhang +1

Let the crown $C_{13}$ be the linear $3$-graph on $9$ vertices $\{a,b,c,d,e,f,g,h,i\}$ with edges $$E=\{\{a,b,c\},\{a,d,e\},\{b,f,g\},\{c,h,i\}\}.$$ Proving a conjecture o…