Binary Search Tree In Python.pptx
- 1. Binary Search Tree In Python SlideMake.com
- 2. 1 Introduction to Binary Search Tree • A binary search tree is a data structure that organizes data in a hierarchical manner. • It is a type of binary tree where each node has at most two children. • The left child of a node contains a value smaller than the parent, while the right child contains a value greater than the parent.
- 3. 2 Operations on Binary Search Tree • Insertion: To add a new node to the tree, we compare the value with the current node and follow the left or right child accordingly until we find an empty spot. • Deletion: When deleting a node, we need to consider three cases: • - If the node has no children, we can simply remove it. • - If the node has one child, we replace it with its child. • - If the node has two children, we find the next smallest value (or next largest) in the tree and replace it with the node to be deleted. • Your third bullet
- 4. 3 Traversing a Binary Search Tree • Inorder Traversal: In this traversal, we visit the left subtree, then the root, and finally the right subtree. This results in a sorted list of values. • Preorder Traversal: In this traversal, we visit the root, then the left subtree, and finally the right subtree. • Postorder Traversal: In this traversal, we visit the left subtree, then the right subtree, and finally the root.
- 5. 4 Searching in a Binary Search Tree • To search for a value in a binary search tree, we compare the value with the current node. • If the value matches, we have found the node. • If the value is smaller, we move to the left child.
- 6. 5 Advantages of Binary Search Tree • Efficient searching: Due to the hierarchical structure of the tree, search operations can be performed quickly by eliminating half of the remaining nodes at each step. • Sorted storage: Inorder traversal of a binary search tree gives the elements in sorted order, which can be useful in certain scenarios. • Insertion and deletion flexibility: Binary search trees allow dynamic insertion and deletion of nodes, maintaining the tree's balance through rotation operations.
- 7. 6 Disadvantages of Binary Search Tree • Imbalanced trees: If the elements are inserted in a specific order, the tree can become unbalanced, resulting in poor performance for search operations. • Lack of uniqueness: Binary search trees do not inherently enforce uniqueness of values, which means duplicate values can be inserted. • Memory overhead: Binary search trees require additional memory to store the tree structure, including pointers to left and right children.
- 8. 7 Conclusion • Binary search trees are a versatile data structure for organizing and accessing data efficiently. • They offer advantages such as efficient searching, sorted storage, and flexibility in insertion and deletion. • However, they can suffer from imbalanced trees, lack of uniqueness, and memory overhead. Careful consideration of the data and appropriate balancing techniques can help mitigate these issues.