Turán numbers $T(n,5,3)$ and graphs without induced $5$-cycles

Iliya Bluskov, Jan de Heer, Alexander Sidorenko

Turán number $T(n,5,3)$ is the minimum size of a system of triples out of a base set $X$ of $n$ elements such that every quintuple in $X$ contains a triple from the system. The exa…