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Data Structures for Coding Interviews in Python

Solution: Graph Valid Tree

Understand how to verify whether an undirected graph is a valid tree by exploring graph traversal with depth-first search. This lesson helps you identify connectivity and detect cycles in graphs, enabling you to implement efficient algorithms to solve the valid tree problem in Python.

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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: ...