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how many pointers are used in linked list

Sagot :

Answer:

The number of pointers used in a linked list depends on the type and structure of the linked list. Here are the common types and the associated number of pointers:

1. **Singly Linked List**:

- Each node has one pointer to the next node.

- Typically, there is also a pointer to the head of the list.

- Total pointers in a list with \( n \) nodes: \( n \) (one for each node) + 1 (head pointer) = \( n + 1 \).

2. **Doubly Linked List**:

- Each node has two pointers: one to the next node and one to the previous node.

- There is also a pointer to the head of the list.

- Total pointers in a list with \( n \) nodes: \( 2n \) (two for each node) + 1 (head pointer) = \( 2n + 1 \).

3. **Circular Linked List**:

- Can be singly or doubly linked.

- The last node points back to the head instead of null.

- Singly circular linked list: \( n \) (one for each node) + 1 (head pointer) = \( n + 1 \).

- Doubly circular linked list: \( 2n \) (two for each node) + 1 (head pointer) = \( 2n + 1 \).

4. **Multilevel Linked List**:

- Nodes may contain additional pointers for various levels (e.g., skip lists).

- The number of pointers depends on the specific structure and the number of levels.

### Example for Singly Linked List

For a singly linked list with 4 nodes:

- Each of the 4 nodes has 1 pointer to the next node.

- There is 1 additional pointer to the head of the list.

- Total pointers: \( 4 + 1 = 5 \).

### Example for Doubly Linked List

For a doubly linked list with 4 nodes:

- Each of the 4 nodes has 2 pointers (one to the next node and one to the previous node).

- There is 1 additional pointer to the head of the list.

- Total pointers: \( 2 \times 4 + 1 = 9 \).

The exact number of pointers used in a linked list depends on its type and the number of nodes it contains.