Erdős-Ko-Rado Theorems for a Family of Trees

Carl Feghali, Matthew Johnson, Daniel Thomas

Given a graph $G$ and an integer $r\ge 1$, let ${\mathcal{I}}^{(r)}(G)$ denote the family of independent sets of size $r$ of $G$. For a vertex $v$ of $G$, let $\mathcal{I}^{(r)}_v(G…