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 21.2, Problem 6E
Program Plan Intro
To modify the UNION procedure for the linked-list representation that removes the need to keep the tail pointer to the last object in each list. The running time of the procedure should not change.
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In this assignment, you will expand on the information provided in the course to answer the following questions in a 2- to 3-page paper:
What is the difference between a singly-linked list and a doubly-linked list?
In what situation would you use a singly-linked list over a doubly-linked list?
In what situation would you use a doubly-linked list over a singly-linked list?
If a node is in a linked list with N nodes, how many nodes will be traversed during a search for the node?
Explain the best- and worst-case search scenarios.
Explain why a singly-linked list defines a RemoveAfter() function, while a doubly-linked list defines a Remove() function.
Could a RemoveAfter() function also be defined for a doubly-linked list? Explain why or why not.
Could a Remove() function also be defined for a singly-linked list? Explain why or why not.
Format your paper according to appropriate course-level APA guidelines.
I need a reference page for this question that was answered below.
What is the difference between a singly-linked list and a doubly-linked list?
In what situation would you use a singly-linked list over a doubly-linked list?
In what situation would you use a doubly-linked list over a singly-linked list?
If a node is in a linked list with N nodes, how many nodes will be traversed during a search for the node?
Explain the best- and worst-case search scenarios.
Explain why a singly-linked list defines a RemoveAfter() function, while a doubly-linked list defines a Remove() function.
Could a RemoveAfter() function also be defined for a doubly-linked list? Explain why or why not.
Could a Remove() function also be defined for a singly-linked list? Explain why or why not.
In its current iteration, does this backing representation, which is just a two-dimensional singly linked list, have any advantages or disadvantages? Explain with regard to the implementation, performance, and the consumption of memory in general, as well as in contrast to a two-dimensional dynamic sequence implementation that makes use of two dimensions and is based on a linked list.
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- In a 2- to 3-page paper, you will build on the material given in the course to answer the following questions: What is the difference between a single and doubly linked list? When might a singly-linked list be preferable than a doubly-linked list? When might a doubly-linked list be preferable than a singly-linked list? How many nodes will be visited during a search for a node that is in a linked list with N nodes? Describe the best- and worst-case scenarios for a search. Explain why a singly-linked list has the RemoveAfter() function while a doubly-linked list has the Remove() function. Is it possible to create a RemoveAfter() method for a doubly-linked list as well? Explain why you think that is or why you don't think that is. Is it possible to create a Remove() method for a singly-linked list as well? Explain why you think that is or why you don't think that is. Format your work according to the APA standards for the course you're in.arrow_forwardIs it feasible to use a DLL to implement a sorted linked list? What is the advantage of a DLL implementation over a singly linked list? Use a concrete example or application to back up your claim.arrow_forwardIs it possible to implement a sorted linked list with a DLL? What advantage a DLL implementation may have over a singly linked list? Use a specific example or application to support your argument.arrow_forward
- What are the inherent benefits and drawbacks of this (essentially two-dimensional singly linked list) backing representation? Discuss with respect to implementation, efficiency, and memory usage in general and as compared to an array-based, a linked list-based, a binary tree-based, and a two dimensional dynamic sequence-based implementation. (PI 1.2/ABET[1], PI 6.1/ABET[6] , PI 6.2/ABET[6])arrow_forwardDevelop an Algorithm to implement a delete operation of a data node at the end of the list in the double linked list?arrow_forwardCreate a self-organizing list by establishing a single linked list of nodes and doing regular retrievals of data from the list at random. Demonstrate how the list restructures itself when the count, move to front, and transpose techniques are applied to the same collection of frequent retrievals.arrow_forward
- If one were to implement a list ADT using a balanced binary search tree, how would the worst-case time complexity of such an implementation compare with that of an array-based list implementation for operations set, get, and remove? Explain your answer, but be brief.arrow_forwardDevise a branch-and-bound algorithm for the SET COVER problem. This entails deciding: (a) What is a subproblem? (b) How do you choose a subproblem to expand? (c) How do you expand a subproblem? (d) What is an appropriate lowerbound? Do you think that your choices above will work well on typical instances of the problem? Why? arrow_forwardIs this two-dimensional singly linked list backing representation good or bad? Describe implementation, speed, and memory use in comparison to a two-dimensional dynamic sequence implementation based on a linked list?arrow_forward
- Develop a procedure to remove all nodes from a linked list that share a key.arrow_forwardWhat are the inherent benefits and drawbacks of this (two-dimensional sequence) backing representation? Discuss with respect to implementation, efficiency, and memory usage in general and as compared to an array-based, a linked list-based, and a binary tree-based implementation. (PI 1.2/ABET[1], PI 6.1/ABET[6] , PI 6.2/ABET[6])arrow_forwardInstruction: To test the Linked List class, create a new Java class with the main method, generate Linked List using Integer and check whether all methods do what they’re supposed to do. A sample Java class with main method is provided below including output generated. If you encounter errors, note them and try to correct the codes. Post the changes in your code, if any. Additional Instruction: Linked List is a part of the Collection framework present in java.util package, however, to be able to check the complexity of Linked List operations, we can recode the data structure based on Java Documentation https://docs.oracle.com/javase/8/docs/api/java/util/LinkedList.html package com.linkedlist; public class linkedListTester { public static void main(String[] args) { ListI<Integer> list = new LinkedList<Integer>(); int n=10; for(int i=0;i<n;i++) { list.addFirst(i); } for(int…arrow_forward
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