Data Structures | Binary Search Trees | Question 1

What is the worst case time complexity for search, insert and delete operations in a general Binary Search Tree for a skewed tree ?

(A)

O(n) for all

(B)

O(Logn) for all

(C)

O(Logn) for search and insert, and O(n) for delete

(D)

O(Logn) for search, and O(n) for insert and delete

Answer: (A)
Explanation:

In skewed Binary Search Tree (BST), all three operations can take O(n). See the following example BST and operations.

          10
        /
       20
      /
     30
    / 
   40

Search 40. 
Delete 40
Insert 50.

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