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Problem: Tree Diameter

med
30 min
Understand how to determine the diameter of an undirected tree by finding the longest path between any two nodes. This lesson helps you grasp tree representation, edges, and how to implement a solution for the tree diameter problem using graph theory concepts.

Statement

Given an undirected tree with nn nodes labeled from 00 to n1n - 1, represented by a 2D array edges where edges.length==n1edges.length == n - 1. Each edges[i]=[ai,bi]edges[i] = [a_i, b_i] denotes an undirected edge between nodes aia_i and bib_i. Your task is to return the diameter of the tree.

The diameter of a tree is the number of edges in the longest path between any two nodes.

Constraints:

  • n ==== edges.length +1+ 1

  • edges[i].length = 2

  • 1 <=<= nn <=<=10310^3

  • 0 <=<= ai,bia_i, b_i << nn

  • aia_i bi\neq b_i

Tap here to switch tabs
Problem
Ask
Submissions

Problem: Tree Diameter

med
30 min
Understand how to determine the diameter of an undirected tree by finding the longest path between any two nodes. This lesson helps you grasp tree representation, edges, and how to implement a solution for the tree diameter problem using graph theory concepts.

Statement

Given an undirected tree with nn nodes labeled from 00 to n1n - 1, represented by a 2D array edges where edges.length==n1edges.length == n - 1. Each edges[i]=[ai,bi]edges[i] = [a_i, b_i] denotes an undirected edge between nodes aia_i and bib_i. Your task is to return the diameter of the tree.

The diameter of a tree is the number of edges in the longest path between any two nodes.

Constraints:

  • n ==== edges.length +1+ 1

  • edges[i].length = 2

  • 1 <=<= nn <=<=10310^3

  • 0 <=<= ai,bia_i, b_i << nn

  • aia_i bi\neq b_i