Computer Science: An Overview (13th Edition) (What's New in Computer Science)
13th Edition
ISBN: 9780134875460
Author: Glenn Brookshear, Dennis Brylow
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 8.4, Problem 3QE
Program Plan Intro
Tree:
A tree is a set of data entries having hierarchical organization similar to the organizational positions in any structured organization like schools, colleges, corporate offices.
Node:
The position at every hierarchical level of a tree is called a node. The node at the topmost position is called the root node.
Child pointer:
Child pointer stores the address of the child node
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A binomial tree, Bn is defined recursively as follows.
B0 is the tree with a single vertex.Create Bn+1, where n is a nonnegative integer, by making two copies of Bn; the first copy becomes the root tree of Bn+1, and the second copy becomes the leftmost child of the root in the first copy.Here are examples for n = 0 to 3:
A. Create a table that has the number of nodes in each depth, d, of B0 to B4, where d ≥ 1 (you should NOT have to draw B5!).
B. What do you think the answers for problem d, above, for B5?
Question 23
1. A complete traversal of an n-node binary tree is a(n).
for the recursive implementation.
1. 0(1)
2. O(log n)
3. O(n)
4. O(n2)
5. None of them
1
2
3
O
2 p
operation if visiting a node is O(1)
illustrates a recursive pseudocode description of theinsert operation on a k-d tree. Here, x is the key to be inserted into the k-d tree, T isthe pointer to the k-d tree and DISC is the discriminator.
Chapter 8 Solutions
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
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
Knowledge Booster
Similar questions
- Create a bottom-up insertion technique based on the same recursive approach, a red-black representation, and balanced 2-3-4 trees as the underlying data structure for an implementation of the fundamental symbol-table API. Only the sequence of 4-nodes (if any) at the bottom of the search path should be split by your insertion technique.arrow_forwardConsider the “recursion tree” and “subproblem graph” for our two algorithms. The case n = 4 is illustrated below. For the case n = 4, the recursion tree has 16 vertices and 15 edges, while the subproblem graph has 5 vertices and 10 edges. For the case n = 10, determine the number of vertices and edges in the recursion tree, as well as the number of vertices and edges in the subproblem graph. Clearly justify your answers.arrow_forwardRecall that the set of full binary trees is defined as follows:arrow_forward
- Computer Sciencearrow_forwardCreate an implementation of a binary tree using the recursive approach introduced in the chapter. In this approach, each node is a binary tree. Thus a binary tree contains a reference to the element stored at its root as well as references to its left and right subtrees. You may also want to include a reference to its parent.arrow_forwardCreate a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follows: //check pic// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree. Hints: Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree,return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space,set the pointer as NULL Else// if the input is not a space,generate the binary node and create its left…arrow_forward
- Consider a tree that has a relatively high (between 10 to 30) typical number of children of each node. Under what conditions would a static child pointer array implementation be usable, and under what conditions would it be a better choice? Under what conditions would a dynamic child pointer array implementation be usable, and under what conditions would it be a better choice?arrow_forwardbinomial tree, Bn is defined recursively as follows. B0 is the tree with a single vertex.Create Bn+1, where n is a nonegative integer, by making two copies of Bn; the first copy becomes the root tree of Bn+1, and the second copy becomes the leftmost child of the root in the first copy.Here are examples for n = 0 to 3: Draw the binomial tree for n = 4 (it pays to do this neatly and carefully as it will makes the rest of the questions easier to answer). Create a table that has the depth of each of B0 to B4 (note that B0 has a depth of 1). Determine the formula for these as a function of n, and include in your table your calculation for B5 (you should NOT have to draw B5!). Create a table that has the number of nodes in each of B0 to B4. Determine the formula for these as a function of n, and include in your table your calculation for B5 (you should NOT have to draw B5!).arrow_forward4. Write a recursive algorithm in pseudocode that finds the lowest common ancestor (LCA) of two given nodes in a binary tree T. The lowest common ancestor is defined between two nodes p and q as the lowest node in T that has both p and q as descendants (where we allow a node to be a descendant of itself). If either p or q is null, the LCA is null. For this problem, Nodes have left, right, and parent references as well as a field called level which stores the level of the node in the tree. In the sample tree below, node 5 is on level 0, while nodes 4 and 6 are on level 1. Write your solution here. 5 <- level 0 4 6 < level 1 function lowest_common_ancestor (Node P, Node q)arrow_forward
- Use the recursive strategy described in the chapter to implement a binary tree. Each node in this method is a binary tree. Thus, a binary tree includes references to its left and right subtrees in addition to the element stored at its root. You could also wish to make mention of its progenitor.arrow_forwardUse the recursive strategy described in the chapter to implement a binary tree. Each node in this method is a binary tree. Thus, a binary tree includes references to its left and right subtrees in addition to the element stored at its root.You could also wish to make mention of its progenitor.arrow_forwardPlease refer the attached image for the questionarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education