On intersecting families of subgraphs of perfect matchings

Melissa M. Fuentes, Vikram Kamat

The seminal Erdős--Ko--Rado (EKR) theorem states that if $\mathcal{F}$ is a family of $k$-subsets of an $n$-element set $X$ for $k\le n/2$ such that every pair of subsets in $\mat…