Try the Problem
You can practice the problem here:
https://leetcode.com/problems/remove-linked-list-elements/
Problem Description (In Very Simple Words)
You are given:
- The head of a linked list
- An integer value
val
Your task is:
👉 Remove all nodes from the linked list whose value is equal to val.
👉 Return the updated head of the linked list.
What is a Linked List? (Quick Recap)
A linked list is a chain of nodes where each node contains:
Example:
Example Walkthrough
Example 1
Input:
Output:
Explanation
We remove all nodes with value 6.
Final list:
Example 2
Input:
Output:
Example 3
Input:
Output:
All nodes are removed.
Constraints
Understanding the Problem Deeply
The tricky part is:
👉 Nodes can appear anywhere:
- At the beginning
- In the middle
- At the end
- Or all nodes
👉 Linked list does NOT allow backward traversal
So we must carefully handle pointers.
Thinking About the Solution
When solving this problem, multiple approaches may come to mind:
Possible Approaches
- Traverse the list and remove nodes manually.
- Handle head separately, then process the rest.
- Use a dummy node to simplify logic.
- Use recursion (less preferred for beginners).
Approach 1: Without Dummy Node (Manual Handling)
Idea
- First, remove nodes from the start (head) if they match
val. - Then traverse the list using two pointers:
prev→ previous nodecurr→ current node
Key Challenge
Handling head separately makes code more complex.
Code
Why This Works
- We ensure
prevalways points to the last valid node - When we find a node to delete:
- This skips the unwanted node
Problem With This Approach
👉 Too many edge cases:
- Removing head nodes
- Empty list
- All nodes equal
Approach 2: Dummy Node (Best & Clean Approach)
Idea
We create a fake node (dummy) before the head.
This helps us:
👉 Treat head like a normal node
👉 Avoid special cases
Visualization
Original:
After dummy:
Java Implementation (Best Approach)
Step-by-Step Dry Run
Input:
After dummy:
Traversal:
Final:
Time Complexity
We traverse the list once.
Space Complexity
No extra space used.
Why Dummy Node is Preferred
| Without Dummy | With Dummy |
| Complex edge cases | Clean logic |
| Special handling for head | No special handling |
| Error-prone | Safe and readable |
Approach 3: Recursive Solution (Conceptual)
Idea
We process one node at a time and recursively solve for the rest.
Code
Time Complexity
Space Complexity
(due to recursion stack)
Key Takeaways
- Linked list problems are all about pointer manipulation
- Always think about edge cases (especially head)
- Dummy node simplifies almost every linked list problem
Conclusion
The Remove Linked List Elements problem is perfect for understanding how linked lists work in real scenarios.
While the manual approach works, the dummy node technique provides a much cleaner and safer solution.
If you master this pattern, you will be able to solve many linked list problems easily in interviews.
👉 Tip: Whenever you feel stuck in linked list problems, try adding a dummy node — it often simplifies everything!




