Computer Science: An Overview (12th Edition)
12th Edition
ISBN: 9780133760064
Author: Glenn Brookshear, Dennis Brylow
Publisher: PEARSON
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Chapter 8.1, Problem 5QE
Program Plan Intro
Node:
A node denotes a connection point or intersection within a network. The concept of nodes works on several levels that act as the major center through which internet traffic is routed.
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Tis a complete binary tree with 15 leaves. Let x denote the number of nodes with exactly two children.
Answer the following questions.
(a) What is the number of nodes with 0 child:
Answer must be a numeric value.
(b) What is the number of nodes with 1 child:
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(C) What is the number of nodes (in terms of x):
Answer format: a+bx, where a,b are any integers.
(d) What is the number of edges (in terms of x):
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(e) What is the sum of degrees of all nodes (in terms of x):
Answer format: a+bx, where a,b are any integers.
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Draw a tree with a depth of 3 and indicate all the nodes as either a parent, child, root, or leaf node(s).
Please draw the following:Form a binary tree with the root node holding 20, the left and right child of the node holding 20 respectively holding 75 and 43. The next level nodes hold the data 84, 90, 57 and 71 from left to right. The node holding 84 has left and right children that respectively hold 96 and 91 and the node holding 90 has a left child that holds 93.
Chapter 8 Solutions
Computer Science: An Overview (12th Edition)
Ch. 8.1 - Give examples (outside of computer science) of...Ch. 8.1 - Prob. 2QECh. 8.1 - Prob. 3QECh. 8.1 - Prob. 4QECh. 8.1 - Prob. 5QECh. 8.2 - In what sense are data structures such as arrays,...Ch. 8.2 - Prob. 2QECh. 8.2 - Prob. 3QECh. 8.3 - Prob. 1QECh. 8.3 - Prob. 2QE
Ch. 8.3 - Prob. 3QECh. 8.3 - Prob. 4QECh. 8.3 - Modify the function in Figure 8.19 so that it...Ch. 8.3 - Prob. 7QECh. 8.3 - Prob. 8QECh. 8.3 - Draw a diagram representing how the tree below...Ch. 8.4 - Prob. 1QECh. 8.4 - Prob. 2QECh. 8.4 - Prob. 3QECh. 8.4 - Prob. 4QECh. 8.5 - Prob. 1QECh. 8.5 - Prob. 3QECh. 8.5 - Prob. 4QECh. 8.6 - In what ways are abstract data types and classes...Ch. 8.6 - What is the difference between a class and an...Ch. 8.6 - Prob. 3QECh. 8.7 - Suppose the Vole machine language (Appendix C) has...Ch. 8.7 - Prob. 2QECh. 8.7 - Using the extensions described at the end of this...Ch. 8.7 - In the chapter, we introduced a machine...Ch. 8 - Prob. 1CRPCh. 8 - Prob. 2CRPCh. 8 - (Asterisked problems are associated with optional...Ch. 8 - Prob. 4CRPCh. 8 - (Asterisked problems are associated with optional...Ch. 8 - Prob. 6CRPCh. 8 - Prob. 7CRPCh. 8 - Prob. 8CRPCh. 8 - Prob. 9CRPCh. 8 - Prob. 10CRPCh. 8 - Prob. 11CRPCh. 8 - Prob. 12CRPCh. 8 - Prob. 13CRPCh. 8 - Prob. 14CRPCh. 8 - Prob. 15CRPCh. 8 - Prob. 16CRPCh. 8 - Prob. 17CRPCh. 8 - Prob. 18CRPCh. 8 - Design a function to compare the contents of two...Ch. 8 - (Asterisked problems are associated with optional...Ch. 8 - (Asterisked problems are associated with optional...Ch. 8 - Prob. 22CRPCh. 8 - Prob. 23CRPCh. 8 - Prob. 24CRPCh. 8 - (Asterisked problems are associated with optional...Ch. 8 - Prob. 26CRPCh. 8 - Prob. 27CRPCh. 8 - Prob. 28CRPCh. 8 - Prob. 29CRPCh. 8 - Prob. 30CRPCh. 8 - Design a nonrecursive algorithm to replace the...Ch. 8 - Prob. 32CRPCh. 8 - Prob. 33CRPCh. 8 - Prob. 34CRPCh. 8 - Draw a diagram showing how the binary tree below...Ch. 8 - Prob. 36CRPCh. 8 - Prob. 37CRPCh. 8 - Prob. 38CRPCh. 8 - Prob. 39CRPCh. 8 - Prob. 40CRPCh. 8 - Modify the function in Figure 8.24 print the list...Ch. 8 - Prob. 42CRPCh. 8 - Prob. 43CRPCh. 8 - Prob. 44CRPCh. 8 - Prob. 45CRPCh. 8 - Prob. 46CRPCh. 8 - Using pseudocode similar to the Java class syntax...Ch. 8 - Prob. 48CRPCh. 8 - Identify the data structures and procedures that...Ch. 8 - Prob. 51CRPCh. 8 - In what way is a class more general than a...Ch. 8 - Prob. 53CRPCh. 8 - Prob. 54CRPCh. 8 - Prob. 55CRPCh. 8 - Prob. 1SICh. 8 - Prob. 2SICh. 8 - In many application programs, the size to which a...Ch. 8 - Prob. 4SICh. 8 - Prob. 5SICh. 8 - Prob. 6SICh. 8 - Prob. 7SICh. 8 - Prob. 8SI
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Similar questions
- What is the minimum height of a Binary Tree that contains 24 nodes? What is the minimum height of a Binary Tree that contains 64 nodes? What is the minimum height of a Binary Tree that contains 7 nodes? What is the minimum height of a Binary Tree that contains 243 nodes? What is the minimum height of a Binary Tree that contains 1020 nodes?arrow_forward2. T is a tree with degrees of one vertex being 2, degree of one vertex being 3, and degrees of two vertices being 4. How many leaves does T have?arrow_forward11. Draw a binary tree with at least 20 nodes and put in some random labels (numbers, letters, doesn't really matter as long as they are unique) list the leaf nodes • list the root node • list the nodes in a preorder, postorder, inorder, breadthfirst mannerarrow_forward
- Construct a Huffman tree for the given eight leaf nodes {a, b, c, d, e, f, g, h} with weights of 5, 7, 18, 3, 24, 9, 13, 10} respectively. Please draw the Huffman tree and show the Huffman code for each node. 5 18 a 7 b 3 P 24 D 9 f 13 g 10 harrow_forward(a) Give ranks to each of the nodes below: (b) What is the type of the above tree? (c) What is the radius of the tree?arrow_forwardA binary tree is sometimes called full if every node has either 0 or 2children (i.e., if there are no nodes that have only one child).arrow_forward
- Create an AVL tree with a height of 3 where the root of the tree would be the imbalanced alpha node if another single node X is inserted into the tree. Show the creation of the tree starting with the empty tree. Show each individual step of inserting the nodes and at each step state which rotation was done (if a rotation was done). Each value in the tree must be an integer and unique. For this problem, you can use drawings and even the visualization tools. You don’t need to implement this problem.arrow_forwardWhat is the maximum number of leaves a tree with n > 2 nodes can have? And what is the minimum number?arrow_forwardExercise 6. A binary tree T has height 8. (Recall that the height of a tree is the number of edges along the longest path from root to leaves). (a) What is the minimum number of nodes in T. (b) What is the maximum number of nodes in T.arrow_forward
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