Introduction To Algorithms, Third Edition (international Edition)
Introduction To Algorithms, Third Edition (international Edition)
3rd Edition
ISBN: 9780262533058
Author: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein
Publisher: TRILITERAL
Question
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Chapter 10, Problem 1P
Program Plan Intro

To determine the worst case running time algorithm for all four types of linked lists such as sorted and unsorted singly and doubly linked lists respectively.

Expert Solution & Answer
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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.

    OperationUnsorted singly linked listSorted singly linked listUnsorted Doubly linked listSorted Doubly linked list
    SearchΘ ( n )Θ ( n )Θ ( n )Θ ( n )
    InsertΘ (1)Θ ( n )Θ (1)Θ ( n )
    DeleteΘ ( n )Θ ( n )Θ (1)Θ (1)
    SuccessorΘ ( n )Θ (1)Θ ( n )Θ (1)
    PredecessorΘ ( n )Θ ( n )Θ ( n )Θ (1)
    MinimumΘ ( n )Θ (1)Θ ( n )Θ (1)
    maximumΘ ( n )Θ ( n )Θ ( n )Θ ( n )

Where ‘ n’ is equals to no. of elements in the list.

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