Improved bounds on a generalization of Tuza's conjecture

Abdul Basit, Daniel McGinnis, Henry Simmons +2

For an $r$-uniform hypergraph $H$, let ${\nu }^{(m)}(H)$ denote the maximum size of a set~$M$ of edges in $H$ such that every two edges in $M$ intersect in less than $m$ vertices, and l…