(Planar Graphs) a. I have a tree T whose average vertex degree is exactly 1.99. Find |V(T)|. Show all of your work, include complete details ,and write complete sentences. b. Draw all possible trees with four vertices. Hint: There are not very many. c. Prove that K5 is not planar. Justify all of your work, include complete details, and write complete sentences. d. Prove that G = K2,3 is planar by drawing a plane embedding of G.

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A: The answer is given in the steps below.

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