2 problems

Let $\mathcal G_d^*$ be the class of infinite transitive graphs of degree $d$ that are not one-dimensional. For a graph $G$ with origin $o$, let $S_r$ be the sphere of radius $r$ a…

Let $\mathcal G_d^*$ be the class of infinite transitive graphs of degree $d$ that are not one-dimensional. For a graph $G$ with origin $o$, let $S_r$ be the sphere of radius $r$ a…