Mathematics, 07.11.2019 23:31 lizethyyaritza16

Suppose you are given as input a rooted tree t. a labeling of the vertices with labels from the set {1,2,3} is called valid if the label of every vertex is different from the label of its parent. the cost of a labeling is the number of vertices with smaller labels than their parents. design an efficient algorithm to find the minimum cost of a valid labeling of t. prove that your algorithm is correct and analyze its running time.

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Suppose you are given as input a rooted tree t. a labeling of the vertices with labels from the set...