Consider the tree T in Figure 14.43. (a) Draw the complement T. (b) Determine whether T

Chapter 14, Problem 22

(choose chapter or problem)

Consider the tree T in Figure 14.43. (a) Draw the complement T. (b) Determine whether T in (a) is planar or nonplanar. If T is nonplanar, then find a subgraph of T that is a subdivision of K5 or K3,3. If T is planar, then draw T as a plane graph and determine whether T is maximal planar. (c) Find all integers n 3 for which there exists a tree T of order n such that T is a maximal planar graph.

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