Delete Node by Value in DSA Java - Time & Space Complexity

Time Complexity: Delete Node by Value

O(n)

Understanding Time Complexity

We want to understand how long it takes to delete a node by its value in a linked list.

How does the time needed change as the list gets bigger?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

public void deleteNode(int value) {
    Node current = head;
    Node previous = null;
    while (current != null) {
        if (current.data == value) {
            if (previous == null) {
                head = current.next;
            } else {
                previous.next = current.next;
            }
            return;
        }
        previous = current;
        current = current.next;
    }
}

This code searches the linked list for the first node with the given value and removes it.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Traversing the linked list nodes one by one.
• How many times: Up to once for each node until the value is found or list ends.

How Execution Grows With Input

As the list grows, the time to find the node grows roughly in direct proportion.

Input Size (n)	Approx. Operations
10	Up to 10 checks
100	Up to 100 checks
1000	Up to 1000 checks

Pattern observation: The number of steps grows linearly as the list gets longer.

Final Time Complexity

Time Complexity: O(n)

This means the time to delete a node grows in a straight line with the number of nodes in the list.

Common Mistake

[X] Wrong: "Deleting a node by value always takes the same time no matter the list size."

[OK] Correct: Because the code may need to check many nodes before finding the value or reaching the end.

Interview Connect

Understanding this helps you explain how searching and deleting in linked lists works, a common task in coding problems.

Self-Check

"What if the list was doubly linked? How would the time complexity change when deleting by value?"

Practice

1. What is the main purpose of the Delete Node by Value operation in a linked list?

easy

A. Reverse the linked list

B. Add a new node with the given value to the end of the list

C. Find the position of the node with the given value

D. Remove the first node that contains the given value from the list

Solution

1. Step 1: Understand the operation goal

   The operation aims to remove a node that matches a specific value from the linked list.

2. Step 2: Identify the correct description

   Removing the first node with the given value matches Remove the first node that contains the given value from the list, while other options describe different operations.

3. Final Answer:

   Remove the first node that contains the given value from the list -> Option D

4. Quick Check:

   Delete Node by Value = Remove matching node [OK]

Hint: Deleting by value means removing matching node, not adding [OK]

Common Mistakes:

• Confusing delete with add operation
• Thinking it finds position instead of deleting
• Assuming it reverses the list

2. Which of the following is the correct Java syntax to start deleting a node by value from a singly linked list named head with value val?

easy

A. Node current = head; while(current != null && current.value != val) { current = current.next; }

B. Node current = head; while(current.value != val) { current = current.next; }

C. Node current = head; while(current.next != null && current.next.value != val) { current = current.next; }

D. Node current = head; if(current.value == val) { head = head.next; }

Solution

1. Step 1: Understand traversal to find node before target

   To delete a node by value, we need to find the node before the target node to change its next pointer.

2. Step 2: Check which loop finds the previous node

   Node current = head; while(current.next != null && current.next.value != val) { current = current.next; } correctly loops while current.next is not null and its value is not the target, so current stops at the node before the target.

3. Final Answer:

   Node current = head; while(current.next != null && current.next.value != val) { current = current.next; } -> Option C

4. Quick Check:

   Find previous node with current.next check = Node current = head; while(current.next != null && current.next.value != val) { current = current.next; } [OK]

Hint: Loop to node before target uses current.next, not current [OK]

Common Mistakes:

• Checking current.value instead of current.next.value
• Not handling head node deletion separately
• Using while loop without null check causing errors

3. What will be the output linked list after deleting the node with value 3 from the list: 1 -> 2 -> 3 -> 4 -> null?

medium

A. 1 -> 2 -> 4 -> null

B. 1 -> 3 -> 4 -> null

C. 2 -> 3 -> 4 -> null

D. 1 -> 2 -> 3 -> 4 -> null

Solution

1. Step 1: Locate node with value 3

   The node with value 3 is the third node in the list: 1 -> 2 -> 3 -> 4 -> null.

2. Step 2: Remove node with value 3 by linking previous to next

   We link node with value 2 directly to node with value 4, skipping the node with value 3.

3. Final Answer:

   1 -> 2 -> 4 -> null -> Option A

4. Quick Check:

   Deleted node 3, list skips it = 1 -> 2 -> 4 -> null [OK]

Hint: Skip node with value by linking previous to next [OK]

Common Mistakes:

• Not updating links, leaving deleted node in list
• Deleting wrong node by value
• Confusing node values and positions

4. Consider this Java code snippet to delete a node by value from a singly linked list:

Node current = head;
while(current.next != null && current.next.value != val) {
    current = current.next;
}
if(current.next.value == val) {
    current.next = current.next.next;
}

What error can occur when deleting the node if the value val is not present in the list?

medium

A. NullPointerException at current.next.value

B. IndexOutOfBoundsException at current.next.next

C. Compilation error due to missing semicolon

D. No error, deletion works fine

Solution

1. Step 1: Analyze loop exit condition

   The loop stops when current.next == null or current.next.value == val. If val is not found, current.next becomes null.

2. Step 2: Check the if condition usage

   The code checks current.next.value == val without verifying if current.next is null, causing NullPointerException if val is missing.

3. Final Answer:

   NullPointerException at current.next.value -> Option A

4. Quick Check:

   Accessing value of null next node causes NullPointerException [OK]

Hint: Always check for null before accessing next.value [OK]

Common Mistakes:

• Assuming node always found, skipping null check
• Confusing runtime exceptions with compile errors
• Ignoring loop exit conditions

5. Given a singly linked list head with nodes 10 -> 20 -> 30 -> 40 -> 50 -> null, what will be the list after deleting the node with value 10 (the head node)?

hard

A. null

B. 20 -> 30 -> 40 -> 50 -> null

C. 30 -> 40 -> 50 -> null

D. 10 -> 20 -> 30 -> 40 -> 50 -> null

Solution

1. Step 1: Identify head node deletion case

   The node to delete is the head node with value 10, so we must update head to point to the next node.

2. Step 2: Update head pointer to next node

   Set head = head.next, which points to node with value 20, effectively removing the original head.

3. Final Answer:

   20 -> 30 -> 40 -> 50 -> null -> Option B

4. Quick Check:

   Deleting head means head moves to next node [OK]

Hint: Deleting head means move head pointer to next node [OK]

Common Mistakes:

• Not updating head pointer when deleting first node
• Removing wrong node by mistake
• Assuming list becomes empty after head deletion