Memory Representation

Memory representation and basic operations for some common data structures are as follows:

1. Arrays:

• Memory Representation: Contiguous block of memory where elements are stored sequentially.
• Basic Operations:
  • Accessing elements by index: array[index]
  • Insertion at the end: array.append(value)
  • Deletion by index: del array[index]
  • Finding length: len(array)

2. Linked Lists:

• Memory Representation: Nodes containing data and a pointer/reference to the next node.
• Basic Operations:
  • Insertion at the beginning:

    new_node = Node(value)
    new_node.next = head
    head = new_node
    

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  • Deletion at the beginning:

    temp = head
    head = head.next
    temp.next = None
    

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  • Traversal:

    current = head
    while current is not None:
        print(current.data)
        current = current.next
    

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3. Stacks:

• Memory Representation: Can be implemented using arrays or linked lists.
• Basic Operations:
  • Push (Insertion): stack.push(value)
  • Pop (Deletion): stack.pop()
  • Peek (Access top element): stack.peek()
  • Checking if empty: stack.is_empty()

4. Queues:

• Memory Representation: Can be implemented using arrays or linked lists.
• Basic Operations:
  • Enqueue (Insertion): queue.enqueue(value)
  • Dequeue (Deletion): queue.dequeue()
  • Peek (Access front element): queue.peek()
  • Checking if empty: queue.is_empty()

5. Trees:

• Memory Representation: Nodes containing data and references/pointers to child nodes.
• Basic Operations:
  • Insertion:
    • Binary Search Tree: Recursively traverse and insert based on comparison with node values.
  • Deletion:
    • Binary Search Tree: Replace with successor or predecessor node.
  • Traversal:
    • In-order, Pre-order, Post-order traversal algorithms.

6. Graphs:

• Memory Representation: Adjacency list or adjacency matrix.
• Basic Operations:
  • Insertion of vertices and edges.
  • Deletion of vertices and edges.
  • Traversal: Depth-first search (DFS), Breadth-first search (BFS).

These are basic representations and operations for each data structure. The actual implementation details may vary based on language and specific requirements.