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A **Linked List** is a linear data structure consisting of nodes, where each node contains a data part and a reference (or link) to the next node in the sequence.
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### Key Characteristics
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- Nodes are stored non-contiguously in memory.
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- Elements are linked using pointers, allowing efficient insertion and deletion.
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### Types of Linked Lists
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-**Singly Linked List**: Each node has a single link to the next node.
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-**Doubly Linked List**: Each node has links to both the previous and next nodes.
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-**Circular Linked List**: Last node links back to the first node.
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### Common Operations
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-**Insertion**:
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- At the head, tail, or a specific position.
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- Complexity: \(O(1)\) for head or tail (if tail pointer exists), \(O(n)\) for arbitrary position.
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-**Deletion**:
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- Removing an element from head, tail, or specific position.
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- Complexity: \(O(1)\) for head or tail, \(O(n)\) for arbitrary position.
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-**Traversal**: Accessing elements sequentially.
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- Complexity: \(O(n)\)
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-**Searching**:
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- Finding an element.
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- Complexity: \(O(n)\)
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### Applications
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-**Dynamic Memory Management**: Efficient for varying data sizes.
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-**Implementing Stacks and Queues**: Using linked lists as the underlying data structure.
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-**Sparse Matrices**: Efficiently storing and accessing non-zero elements.
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