Grokking Algorithm Complexity and Big-O
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Linked List

A Linked List is a data structure where each element (node) contains a value and a reference (or link) to the next node in the sequence. Linked lists are dynamic and can grow or shrink easily by adding or removing nodes. Let’s explore the time and space complexities for common linked list operations.

Basic Operations on Linked List

Time Complexity Analysis for Linked List Operations

  • Access Element: O(n) – Traversing each node from the head is necessary to reach a specific node.
  • Insertion:
    • Beginning: O(1) – Adding a node to the head is immediate.

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K

Karthik

· 2 years ago

Explanation of Each Operation:

Access:

Array: Direct access using an index is O(1).

Dynamic Array: Similar to arrays, access is O(1).

Linked List: Requires traversal from the head to the desired node, resulting in O(n).

Search:

Array: Requires a linear search, O(n).

Dynamic Array: Also requires a linear search, O(n).

Linked List: Requires traversal, resulting in O(n).

Insertion:

At End:

Array: If there is space, it is O(1); otherwise, it requires O(n) to shift elements.

Dynamic Array: Amortized O(1) due to resizing when capacity is reached.

Linked List: O(1) if a tail pointer is maintained.

At Start:

Array: Requires shifting all elements, O(n).

Dynamic Array: Same as arrays, O(n).

Linked List: O(1) since we can directly insert at the head.

At Middle:

Array: Require

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