PublicSoftTools

Linked List Visualizer

Build and manipulate a singly linked list step by step. Insert at head, tail, or any index; delete nodes from the front, back, or by value; search for elements. Colour-coded animations show exactly how pointers change. No signup, runs entirely in your browser.

10
•→
HEAD
20
•→
30
•→
40
•→
TAIL
NULL
Length: 4Head: 10Tail: 40
Operations
No operations yet

How to Use the Linked List Visualizer

  1. 1Insert nodes at the head, tail, or a specific index using the operation buttons.
  2. 2Delete from the front, back, or by value, and search for an element.
  3. 3Follow the colour highlights — green inserted, blue found, red about to be removed.
  4. 4Watch the HEAD and TAIL labels move as pointers are reassigned.

Worked Example: Why Insert-at-Head Beats Insert-at-Index

Build a list of five values, then insert a new node at the head. Watch the animation: only one pointer changes — the new node points to the old head, and HEAD moves to the new node. No existing nodes are touched, so this is an O(1) operation no matter how long the list is. Now insert at index 4 instead. The visualizer walks node by node from the head, counting until it reaches position 4 before splicing in the new node — that traversal is what makes arbitrary-index insertion O(n).

This is the whole trade-off between linked lists and arrays in one picture. A linked list makes front and middle insertions cheap because it only rewires local pointers, but it pays for that by having no O(1) random access — reaching index 4 means visiting nodes 0 through 3 first. An array is the mirror image: instant index lookup, but inserting at the front shifts every later element. Use the visualizer to feel where each structure's cost lands before choosing one for a real problem.

Linked List Concepts to Practise

Head and tail pointers

Most linked list implementations maintain both a head and tail pointer. This makes insertHead and insertTail O(1) without traversal. Notice how the HEAD and TAIL labels update as you insert and delete.

Finding mid-point

The slow/fast pointer technique finds the middle node in one pass: slow advances one step, fast advances two. When fast reaches NULL, slow is at the middle. Use this for merge sort on linked lists.

Reversing a list

To reverse a linked list iteratively, keep track of previous, current, and next pointers. Walk through the list reassigning each node's next to the previous node — O(n) time, O(1) space.

Detecting cycles

Floyd's cycle detection uses slow and fast pointers. If the list has a cycle, fast eventually laps slow and they meet. If fast reaches NULL, there is no cycle. Time: O(n), space: O(1).

Frequently Asked Questions

What is a singly linked list?

A singly linked list is a linear data structure where each node holds a value and a pointer to the next node. Unlike arrays, nodes do not need to be stored contiguously in memory — each node points to the next via a reference.

What is the time complexity of insertions?

Insert at head or tail is O(1) if you maintain a head and tail pointer. Insert at an arbitrary index is O(n) because you must traverse the list to reach that position. Deletion follows the same pattern.

When should I use a linked list instead of an array?

Use a linked list when you frequently insert or delete at the front or middle of a large list, and do not need random access by index. Arrays are better when you need fast index access (O(1)) and predictable memory layout for cache performance.

What do the colours mean?

Green highlight means a newly inserted node. Blue highlight means a successfully found node (search). Red highlight means a node about to be removed from the list.

Can I insert at a specific position?

Yes. Use the "Insert at index" operation and enter the 0-based index. Index 0 is equivalent to insertHead. If the index equals the list length, the node is appended to the tail.

Is my data stored?

No. All operations are local to your browser session. Nothing is sent to any server.