A local spectral condition for perfect matchings in 3-graphs

Huiqiu Lin, Hongliang Lu, Feihong Yuan +1

Let ${\hat{I}}^3$ be a constant such that $0<{\hat{I}}^3<1$, and let $n$ be a sufficiently large integer. Consider a $3$-uniform hypergraph $H$ on $n$ vertices. In 2013, Kühn, Osthus, and Treglo…