Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 13.1, Problem 6E
Program Plan Intro
To find the largest and smallest possible number of internal nodes in a red black tree with black height k .
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What is the maximum height of a an AVL tree with p nodes?
is this true or false? In a red and a black tree all keys inside the right sub tree of a node has to be bigger than the key inside that node.
What is the most number of nodes that may be included in a balanced binary tree of height 5? (A tree with a single node has height 1, hence the answer is 1)
Chapter 13 Solutions
Introduction to Algorithms
Ch. 13.1 - Prob. 1ECh. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Prob. 4ECh. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3E
Ch. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.3 - Prob. 1ECh. 13.3 - Prob. 2ECh. 13.3 - Prob. 3ECh. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4P
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- 5. The maximum number of nodes at level ? for a binary tree is:A. ?B. 2?C. 2?D. ? + 1arrow_forwardWhat maximum difference in heights between the leafs of a AVL tree is possible?Β * Β Β Β a) log(n) where n is the number of nodes Β Β Β b) n where n is the number of nodes Β Β Β c) 0 or 1 Β Β Β d) atmost 1arrow_forwardWhat is a degenerate tree? What is the cause of having a degenerate binary search tree? Why is it important for a binary tree to be balanced (or close to balanced)?arrow_forward
- What is a weight balanced tree?a) A binary tree that stores the sizes of subtrees in nodesb) A binary tree with an additional attribute of weightc) A height balanced binary treed) A normal binary treearrow_forwardWhat exactly is a degenerate tree? What is the origin of a degenerate binary search tree? Why is it critical for a binary tree to be balanced (or nearly so)?arrow_forwardDraw a tree with a depth of 3 and indicate all the nodes as either a parent, child, root, or leaf node(s).arrow_forward
- What is the maximum height of an AVL tree with p nodes? Select one: a.log(p)/2 b.log(p) c.P d.p / 2arrow_forwardWhat is the maximum height of a 2-3 tree with n keys? Give the reasoning in terms of n.arrow_forwardAssume we have a full 4-ary tree, which contains 100 leaves. How many internal nodes are there, and how many nodes in total are there?arrow_forward
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