If graphs are allowed to have an infinite number of vertices and edges, then Lemma

Chapter 10, Problem 6

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If graphs are allowed to have an infinite number of vertices and edges, then Lemma 10.5.1 is false. Give a counterexample that shows this. In other words, give an example of an “infinite tree” (a connected, circuit-free graph with an infinite number of vertices and edges) that has no vertex of degree 1.

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