Show that every tree can be colored using two colors. The

Chapter , Problem 44E

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Show that every tree can be colored using two colors. The rooted Fibonacci trees Tn are defined recursively in the following way. T1 and T2 are both the rooted tree consisting of a single vertex, and for n = 3,4, …, the rooted tree Tn is constructed from a root with Tn?1 as its left subtree and Tn ? 2 as its right subtree.

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