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Data Structures for Coding Interviews in Java

Solution: Graph Valid Tree

Explore how to determine if an undirected graph is a valid tree by using depth-first search to check for cycles and ensure all nodes are connected. Understand the algorithm and its time and space complexities to prepare for coding interviews involving graph problems.

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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: ...