Users' questions

What is the time complexity of traversal?

What is the time complexity of traversal?

When you perform a tree traversal, you visit every node of the tree. So if the tree has n nodes, then whether it is a complete binary tree or balanced binary tree or skewed binary tree, the time complexity is O(n).

What is the big O of traversing a BST?

The complexity of each of these Depth-first traversals is O(n+m). Since the number of edges that can originate from a node is limited to 2 in the case of a Binary Tree, the maximum number of total edges in a Binary Tree is n-1, where n is the total number of nodes.

What is the time complexity of level order traversal of a binary tree with n nodes?

Time complexity = O(n), where n is the total number of nodes. Level order traversal require space proportional to the max width of the tree (w) which is equal ot the maximum number of nodes at a given level. Space Complexity = O(w)(Think!)

What is the time complexity of pre order traversal *?

What is the time complexity of pre-order traversal in the iterative fashion? Explanation: Since you have to go through all the nodes, the complexity becomes O(n).

What is the time complexity of binary search algorithm?

Time and Space complexity The time complexity of the binary search algorithm is O(log n). The best-case time complexity would be O(1) when the central index would directly match the desired value.

What is the time complexity of inorder traversal of binary tree?

If a tree has n nodes, then each node is visited only once in inorder traversal and hence the complexity is O(n). Here, the input is in terms of number of nodes in the tree and hence the complexity.

Is BST a complete binary tree?

In computer science, a binary search tree (BST), also called an ordered or sorted binary tree, is a rooted binary tree data structure whose internal nodes each store a key greater than all the keys in the node’s left subtree and less than those in its right subtree.

What is the best case complexity of binary search tree?

Best Case- The binary search tree is a balanced binary search tree. Height of the binary search tree becomes log(n). So, Time complexity of BST Operations = O(logn).

What is minimum depth in binary tree?

The minimum depth of a binary tree is the number of nodes from the root node to the nearest leaf node. The minimum depth of this tree is 3; it is comprised of nodes 1, 2, and 4.

What is the order of binary tree?

A “binary search tree” (BST) or “ordered binary tree” is a type of binary tree where the nodes are arranged in order: for each node, all elements in its left subtree are less-or-equal to the node (<=), and all the elements in its right subtree are greater than the node (>).

What is the complexity of adding an element to the heap?

The number of operations required depends only on the number of levels the new element must rise to satisfy the heap property. Thus, the insertion operation has a worst-case time complexity of O(log n). For a random heap, and for repeated insertions, the insertion operation has an average-case complexity of O(1).

Which BST has higher complexity?

Searching: For searching element 1, we have to traverse all elements (in order 3, 2, 1). Therefore, searching in binary search tree has worst case complexity of O(n). In general, time complexity is O(h) where h is height of BST.

Is the traversal of a binary tree the same in BST?

BST Traversal- A binary search tree is traversed in exactly the same way a binary tree is traversed. In other words, BST traversal is same as binary tree traversal. Read More- Binary Tree Traversal

How to calculate time complexity of binary search tree?

Best Case- 1 The binary search tree is a balanced binary search tree. 2 Height of the binary search tree becomes log (n). 3 So, Time complexity of BST Operations = O (logn).

What is the complexity of insertion in BST?

In general, time complexity is O(h) where h is height of BST. Insertion: For inserting element 0, it must be inserted as left child of 1. Therefore, we need to traverse all elements (in order 3, 2, 1) to insert 0 which has worst case complexity of O(n).

What is the complexity of a depth first traversal?

In-order, Pre-order, and Post-order traversals are Depth-First traversals. For a Graph, the complexity of a Depth First Traversal is O (n + m), where n is the number of nodes, and m is the number of edges. Since a Binary Tree is also a Graph, the same applies here.