Delete by Value in Doubly Linked List in DSA Java - Time & Space Complexity

Time Complexity: Delete by Value in Doubly Linked List

O(n)

Understanding Time Complexity

When deleting a node by value in a doubly linked list, we want to know how the time needed changes as the list grows.

We ask: How long does it take to find and remove the node with the given value?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

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

This code searches the list for the first node with the given value and removes it by adjusting pointers.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Traversing the list nodes one by one to find the matching value.
• How many times: Up to n times, where n is the number of nodes in the list.

How Execution Grows With Input

As the list grows, the time to find the value grows roughly in a straight line.

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

Pattern observation: The operations increase directly with the number of nodes; doubling nodes roughly doubles work.

Final Time Complexity

Time Complexity: O(n)

This means the time to delete by value grows linearly with the list size because we may need to check each node once.

Common Mistake

[X] Wrong: "Deleting by value is always fast because we just remove the node."

[OK] Correct: Before removing, we must find the node by checking nodes one by one, which can take time proportional to the list size.

Interview Connect

Understanding this helps you explain how searching affects deletion speed in linked lists, a common topic in coding discussions.

Self-Check

"What if the list was sorted? How would that change the time complexity of deleting by value?"

Practice

1. What happens when you delete a node by value in a doubly linked list?

easy

A. The node with the matching value is removed and links are updated

B. All nodes are deleted regardless of value

C. Only the first node is deleted no matter the value

D. The list is reversed instead of deleting

Solution

1. Step 1: Locate the node with the given value

   Traverse the list from head to tail to find the node whose data matches the value to delete.

2. Step 2: Update links to remove the node

   Adjust the previous node's next pointer and the next node's previous pointer to bypass the node to be deleted.

3. Final Answer:

   The node with the matching value is removed and links are updated -> Option A

4. Quick Check:

   Deleting by value removes matching node [OK]

Hint: Find node by value, then update previous and next links [OK]

Common Mistakes:

• Not updating both previous and next pointers
• Deleting all nodes instead of one
• Ignoring the case when node is head or tail

2. Which of the following is the correct Java syntax to delete a node by value in a doubly linked list?

easy

A. int deleteByValue(int value) { /* code */ }

B. void deleteByValue(int value) { /* code */ }

C. deleteByValue(int value) { /* code */ }

D. void deleteByValue() { /* code */ }

Solution

1. Step 1: Check method return type and parameters

   The method should accept an integer value to delete and return nothing, so void return type is correct.

2. Step 2: Verify method signature syntax

   Java requires return type before method name and parameter types inside parentheses.

3. Final Answer:

   void deleteByValue(int value) { /* code */ } -> Option B

4. Quick Check:

   Method with void return and int parameter is correct [OK]

Hint: Method must specify return type and parameter types in Java [OK]

Common Mistakes:

• Omitting return type
• Missing parameter type
• Using wrong return type for delete method

3. Given the doubly linked list: 10 <-> 20 <-> 30 <-> 40 <-> null, what is the list after deleting the node with value 30?

medium

A. 10 <-> 20 <-> 40 <-> null

B. 10 <-> 20 <-> 30 <-> 40 <-> null

C. 20 <-> 30 <-> 40 <-> null

D. 10 <-> 40 <-> null

Solution

1. Step 1: Identify node with value 30

   Traverse the list and find the node containing 30 between 20 and 40.

2. Step 2: Remove node 30 and update links

   Set 20's next pointer to 40 and 40's previous pointer to 20, removing 30 from the chain.

3. Final Answer:

   10 <-> 20 <-> 40 <-> null -> Option A

4. Quick Check:

   Node 30 removed, links updated correctly [OK]

Hint: Remove node and link previous to next nodes directly [OK]

Common Mistakes:

• Not updating previous pointer of next node
• Leaving deleted node linked
• Deleting wrong node

4. What is the error in this code snippet for deleting a node by value in a doubly linked list?

void deleteByValue(int value) {
  Node current = head;
  while (current != null && current.data != value) {
    current = current.next;
  }
  if (current == null) return;
  current.prev.next = current.next;
  current.next.prev = current.prev;
}

medium

A. It reverses the list instead of deleting

B. It does not check if current is null before accessing pointers

C. It deletes all nodes with the value instead of one

D. It does not handle deletion when current is head

Solution

1. Step 1: Analyze deletion at head node

   If current is head, current.prev is null, so current.prev.next causes NullPointerException.

2. Step 2: Identify missing condition for head deletion

   Code must check if current.prev is null and update head pointer accordingly.

3. Final Answer:

   It does not handle deletion when current is head -> Option D

4. Quick Check:

   Head deletion needs special handling [OK]

Hint: Check if node is head before updating previous pointer [OK]

Common Mistakes:

• Not handling head or tail nodes separately
• Accessing null pointers without checks
• Assuming node always has previous and next

5. You have a doubly linked list: 5 <-> 10 <-> 15 <-> 20 <-> 25 <-> null. You want to delete the node with value 5, then delete the node with value 25. What is the final list?

hard

A. null

B. 5 <-> 10 <-> 15 <-> 20 <-> null

C. 10 <-> 15 <-> 20 <-> null

D. 10 <-> 15 <-> 20 <-> 25 <-> null

Solution

1. Step 1: Delete node with value 5 (head)

   Since 5 is head, update head to 10 and set 10's prev to null.

2. Step 2: Delete node with value 25 (tail)

   Since 25 is tail, update 20's next to null, removing 25.

3. Final Answer:

   10 <-> 15 <-> 20 <-> null -> Option C

4. Quick Check:

   Head and tail deletions handled correctly [OK]

Hint: Update head or tail pointers when deleting first or last node [OK]

Common Mistakes:

• Not updating head when deleting first node
• Not updating tail when deleting last node
• Breaking links causing list corruption