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Data Structures for Coding Interviews in C++

Solution: Graph Valid Tree

Explore how to verify if an undirected graph forms a valid tree by using depth-first search (DFS). This lesson guides you through detecting cycles, ensuring all nodes are connected, and understanding the algorithm's time and space complexities. You will learn to apply DFS traversal to check graph validity efficiently.

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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: ...