5. (a) There are seven different types of rooted trees of height 2 in which each...
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5. (a) There are seven different types of rooted trees of height 2 in which each node has at most two chil- dren. Draw one tree of each type. (b) To which of the types in part (a) do the regular binary trees of height 2 belong? (c) Which of the trees in part (a) are full binary trees? (d) How many different types of binary trees are there of height 2? 6 (a) Repeat Exercise 5(a) for the seven types of rooted trees of height 3 in which each node that is not a leaf has two children. (b) How many different types of regular binary trees are there of height 3? 5. (a) There are seven different types of rooted trees of height 2 in which each node has at most two chil- dren. Draw one tree of each type. (b) To which of the types in part (a) do the regular binary trees of height 2 belong? (c) Which of the trees in part (a) are full binary trees? (d) How many different types of binary trees are there of height 2? 6 (a) Repeat Exercise 5(a) for the seven types of rooted trees of height 3 in which each node that is not a leaf has two children. (b) How many different types of regular binary trees are there of height 3?
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Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
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