2 problems

For an $r$-uniform linear cycle $C^r_{2\ell+1}$ of odd length $2\ell+1$, let $s(C^r_{2\ell+1})$ denote its Sidorenko gap. Odd linear-cycle Sidorenko-gap conjecture. For $r\geq 3$ a…

Let $H$ be a $3$-uniform hypergraph, and let $b1(H)$ denote the cardinality of a largest independent set of $H$. A linear cycle is a sequence of at least three edges in which only…