2 problems

Let $G$ be a graph, let $calI^{(r)}(G)$ denote the family of independent $r$-subsets of $V(G)$, and let $calI^{(r)}_v(G)$ denote the star centered at $v\in V(G)$. Write $cmu(G)$ fo…

Let ${\cal I}_n$ be the set of intersection densities of transitive permutation groups of degree $n$, and let $I(n)$ be the maximum value in ${\cal I}_n$. The intersection density…