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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Question
Chapter 10, Problem 1P
Program Plan Intro
To determine the worst case running time
Expert Solution & Answer
Explanation of Solution
Here, the table contains four types of algorithms sorted and unsorted singly linked list, sorted and unsorted doubly linked list, and the worst case running time complexity of these algorithm for such operations as search, insert, delete, successor, predecessor, minimum and maximum.
| Operation | Unsorted singly linked list | Sorted singly linked list | Unsorted Doubly linked list | Sorted Doubly linked list |
| Search | Θ ( n ) | Θ ( n ) | Θ ( n ) | Θ ( n ) |
| Insert | Θ (1) | Θ ( n ) | Θ (1) | Θ ( n ) |
| Delete | Θ ( n ) | Θ ( n ) | Θ (1) | Θ (1) |
| Successor | Θ ( n ) | Θ (1) | Θ ( n ) | Θ (1) |
| Predecessor | Θ ( n ) | Θ ( n ) | Θ ( n ) | Θ (1) |
| Minimum | Θ ( n ) | Θ (1) | Θ ( n ) | Θ (1) |
| maximum | Θ ( n ) | Θ ( n ) | Θ ( n ) | Θ ( n ) |
Where ‘ n’ is equals to no. of elements in the list.
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For linked lists, use a natural mergesort. Since it doesn't take up extra space and is certain to be linearithmic, this method is the one used to sort linked lists.For linked lists, use a natural mergesort. Since it doesn't take up extra space and is certain to be linearithmic, this method is the one used to sort linked lists.For linked lists, use a natural mergesort. Since it doesn't take up extra space and is certain to be linearithmic, this method is the one used to sort linked lists.For linked lists, use a natural mergesort. Since it doesn't take up extra space and is certain to be linearithmic, this method is the one used to sort linked lists.For linked lists, use a natural mergesort. Since it doesn't take up extra space and is certain to be linearithmic, this method is the one used to sort linked lists.For linked lists, use a natural mergesort. Since it doesn't take up extra space and is certain to be linearithmic, this method is the one used to sort linked lists.For linked…
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.
What are the advantages of a linked list over an array? In which scenarios do we use Linked List and when Array?
Chapter 10 Solutions
Introduction to Algorithms
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3E
Ch. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3P
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