2 problems

Let $G$ be a graph, let $\Gamma$ be a closed subgroup of $\operatorname{Aut}(G)$ acting transitively on $G$, and let $\mathbf{w}$ be the induced relative weight function. Let…

Let $G$ be a graph, let $\Gamma$ be a closed subgroup of $\operatorname{Aut}(G)$ acting transitively on $G$, and let $\mathbf{w}$ be the induced relative weight function. A cluster…