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Grokking the Coding Interview Patterns in Python

Solution: Graph Valid Tree

Understand how to verify if a graph forms a valid tree by ensuring it has exactly n-1 edges and all nodes are connected. Learn to build an adjacency list and apply depth-first search to confirm connectivity and detect cycles. This lesson helps you implement a practical graph validity check with time complexity O(n).

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Statement

Given n as the number of nodes and an array of the edges of a graph, find out if the graph is a valid tree. The nodes of the graph are labeled from 00 to n−1n - 1, and edges[i]=[x,y]edges[i] = [x, y] represents an undirected edge connecting the nodes xx and yy ...