The Hypergraph Turán Densities of Tight Cycles Minus an Edge

Bernard Lidicky, Connor Mattes, Florian Pfender

A tight $\ell$-cycle minus an edge $C_{\ell }^{-}$ is the $3$-graph on the vertex set $[\ell ]$, where any three consecutive vertices in the string $123\dots \ell 1$ form an edge. We sho…