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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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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