Question: Let G be a full binary rooted tree. Let d(G) be the sum of the degrees of the vertices of G, and let e(G) be

Let G be a full binary rooted tree. Let d(G) be the sum of the degrees of the vertices of G, and let e(G) be the number of edges of G. Use structural induction to prove that d(G) = 2e(G). You may assume that d(G₁*G₂) = d(G₁)+d(G₂)+4, and that e(G₁*G₂) = e(G₁)+e(G₂)+2 without proof.

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