Chapter 11: Q3RE (page 804)
Give at least three examples of how trees are used in modeling.
Short Answer
Answers could vary
Chapter 11: Q3RE (page 804)
Give at least three examples of how trees are used in modeling.
Answers could vary
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Get started for freeSuppose that we vary the payoff to the winning player in the game of nim so that the payoff is n dollars when n is the number of legal moves made before a terminal position is reached. Find the payoff to the first player if the initial position consists of
a) two piles with one and three stones, respectively.
b) two piles with two and four stones, respectively.
c) three piles with one, two, and three stones, respectively.
Explain how to use breadth-first search to find the length of a shortest path between two vertices in an undirected graph.
Find a minimum spanning tree of each of these graphs where the degree of each vertex in the spanning tree does not exceed 2.
a) Define a full \(m{\bf{ - }}\)ary tree.
b) How many vertices does a full \(m{\bf{ - }}\)ary tree have if it has \({\bf{i}}\) internal vertices\(?\) How many leaves does the tree have?
a) What is a binary search tree?
b) Describe an algorithm for constructing a binary search tree.
c) Form a binary search tree for the words, vireo, warbler, egret, grosbeak, nuthatch, and kingfisher.
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