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Data Structures for Coding Interviews in JavaScript

Solution: Graph Valid Tree

Explore how to verify if an undirected graph qualifies as a valid tree by implementing depth-first search. Understand how to track visited nodes, detect cycles, and ensure full connectivity of the graph. This lesson guides you through the algorithm and code to confidently evaluate graph validity.

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Statement

Given an undirected graph containing nn nodes labeled from 00 to n−1n - 1, determine whether the graph is a valid tree or not. Return TRUE if the edges of the given graph make up a valid tree, and FALSE otherwise.

A graph is a valid tree when all the nodes are connected and there is no cycle between them.

Constraints:

Let nn be the number of nodes in the undirected graph, where: ...