What is the performance analysis of binary search trees in C++?

What is the performance analysis of binary search trees in C++?

Binary search trees (BST) have average-case time complexities of O(log n) for search, insert, and delete operations. However, in the worst case, they can degrade to O(n) if the tree becomes unbalanced.

What factors affect the performance of a binary search tree?

The performance of a BST is affected by factors such as tree balance, the order of insertions, and the choice of data structure. Balanced trees like AVL or Red-Black trees can maintain O(log n) performance.

How can I ensure my binary search tree remains balanced?

You can use self-balancing trees like AVL trees or Red-Black trees, which automatically adjust their structure during insertions and deletions to maintain balance.

Can you explain the difference between a binary search tree and a binary tree?

A binary tree is a tree data structure where each node has at most two children, while a binary search tree is a binary tree with the added constraint that the left child is less than the parent and the right child is greater.