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The diameter of a tree is the number of nodes on the longest path between two leaves in the tree. The diagram below shows two trees each with diameter nine, the leaves that form the ends of the longest path are colored (note that there may be more than one path in the tree of the same diameter). Examples: Input : 1 / \ 2 3 / \ 4 5Output : 4Input
A tree’s diameter is a useful metric for measuring its size, growth, and volume. You need to know the diameter to calculate the amount of the fertilizer a tree needs and also to determine its value in case you want to sell its wood.
The diameter of a binary tree is the length of the longest path between any two nodes in a tree. This path may or may not pass through the root. The length of a path between two nodes is represented by the number of edges between them.
The diameter of a tree is the number of nodes on the longest path between two leaves in the tree. The diagram below shows two trees each with diameter nine, the leaves that form the ends of the longest path are colored (note that there may be more than one path in the tree of the same diameter).
The diameter of a tree is the number of nodes on the longest path between two leaves in the tree. The diagram below shows two trees each with diameter nine, the leaves that form the ends of the longest path are colored (note that there may be more than one path in the tree of the same diameter).
Problem Description. The task is to find the diameter of a binary tree. The diameter is the longest path between any two nodes in the tree, which does not necessarily have to involve the root node. Here, the length of the path is given by the number of edges between the nodes.
The diameter of a tree can be computed using depth-first search (DFS) with two passes. Run DFS from an arbitrary starting node s to find the farthest node x. Run DFS from node x to find the farthest node y. The distance between nodes x and y is the diameter of the tree. Let's break down the solution step by step using the network topology scenario.
The diameter of a binary tree can be defined as the number of edges between the longest paths connecting any two nodes in a binary tree. The diameter of the binary tree is also known as the width of the binary tree.
The diameter of a binary tree is a fundamental metric used in understanding the structure and efficiency of tree-based algorithms. It represents the longest path between any two nodes in the tree, measured by the number of edges between them.
finding the diameter is one of the most frequent ways to solve problems about trees. In this tutorial we will see how to find a diameter and some of its properties, and we will use them to solve some problems of increasing difficulty.