Question: Two labeled infinite graphs are shown in Figure. Show that they are isomorphic by defining a gipo between them and verifying that the gipo is an isomorphism, or show that they are not isomorphic by finding a property that holds for one but not the other. (Note that if you want to show that the graphs are isomorphic, it will not be enough to just give a relabeling-that would only take care of finitely many vertices. You would need to give a rule for relabeling and show that this rule satisfies the properties of an isomorphism).
