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How do you calculate the depth of a node in a binary tree?
The depth of a node in a binary tree is the length of the path from the root of the tree to that node. That is, the root has depth 0, its children have depth 1, its grandchildren have depth 2, and so on. In a balanced tree, all the leaves in the tree are about the same depth.
What is the depth of root node in a binary tree?
0
A root node will have a depth of 0. The height of a node is the number of edges on the longest path from the node to a leaf. A leaf node will have a height of 0.
What is the degree of a node?
The degree of a node is the number of connections that it has to other nodes in the network. In a social network if you have 100 friends then the node that represents you has a degree of 100. Path length is simply the distance between two nodes, measured as the number of edges between them.
What is maximum depth of a tree?
The maximum depth of a binary tree is the number of nodes from the root down to the furthest leaf node. In other words, it is the height of a binary tree. The maximum depth, or height, of this tree is 4; node 7 and node 8 are both four nodes away from the root.
How to find the minimum depth of a binary tree?
Given a binary tree, find its minimum depth. The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node. For example, minimum height of below Binary Tree is 2. Note that the path must end on a leaf node. For example, the minimum height of below Binary Tree is also 2.
How to count leaf nodes in a binary tree?
Program to count leaf nodes in a binary tree. A node is a leaf node if both left and right child nodes of it are . Here is an algorithm to get the leaf node count. getLeafCount(node) 1) If node is NULL then return 0. 2) Else If left and right child nodes are NULL return 1. 3) Else recursively calculate leaf count of the tree using below formula.
How to calculate the depth of a node?
Depth of a node K (of a Binary Tree) = Number of edges in the path connecting the root to the node K = Number of ancestors of K (excluding K itself). Follow the steps below to find the depth of the given node: If the tree is empty, print -1.
How to calculate the Leaf Count of a tree?
Here is an algorithm to get the leaf node count. getLeafCount(node) 1) If node is NULL then return 0. 2) Else If left and right child nodes are NULL return 1. 3) Else recursively calculate leaf count of the tree using below formula. Leaf count of a tree = Leaf count of left subtree + Leaf count of right subtree.