Why LinkedList's Remove Method is Faster than ArrayList's

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Question:

In java, Why is the remove method faster in the linked list than in an array?

Answer:

In Java, the performance of the remove method can differ significantly between a LinkedList and an ArrayList (which is the typical array-based list implementation in Java). Here’s why the remove method is generally faster in a LinkedList compared to an ArrayList:

LinkedList

  1. Node Structure: A LinkedList is made up of nodes, where each node contains a reference to the next (and possibly the previous) node. When you remove a node, you only need to update the references of the adjacent nodes. This operation is O(1) if you have a reference to the node you want to remove.

  2. No Shifting Required: Since LinkedList does not store elements in contiguous memory, removing a node does not require shifting any other elements. You simply adjust the pointers of the neighboring nodes.

ArrayList

  1. Array Structure: An ArrayList is backed by an array. When you remove an element from an ArrayList, all subsequent elements must be shifted one position to the left to fill the gap left by the removed element. This shifting operation is O(n) in the worst case, where n is the number of elements in the list.

  2. Contiguous Memory: Because ArrayList uses a contiguous block of memory, removing an element can lead to a significant performance hit due to the need to move elements around.

Summary

  • Time Complexity:
    • LinkedList.remove(): O(1) if you have a reference to the node; O(n) if you need to search for the node.
    • ArrayList.remove(): O(n) due to the need to shift elements.

In conclusion, the remove method is generally faster in a LinkedList than in an ArrayList because it involves simply updating pointers rather than shifting elements in an array. However, it's important to note that if you need to find the node to remove in a LinkedList, that search operation can take O(n) time, which can offset the benefits of the removal operation.