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Grokking the Coding Interview Patterns in Python

Solution: Find Center of Star Graph

Explore how to find the central node of an undirected star graph by leveraging the graph's structure. This lesson teaches you to quickly determine the center by comparing just the first two edges, achieving an O(1) time solution without counting degrees for all nodes.

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Statement

Given an array edges where each element edges[i] = [ui, vi] represents an edge between nodes ui and vi in an undirected star graph,A star graph is a graph where one central node is connected to every other node. If there are n nodes, then the central node must be connected to all other n-1 nodes. find the central node of this star graph.

Note: A star graph is a graph where one central node is connected to every other node. This implies that a star graph with n nodes has exactly n - 1 edges.

Constraints:

  • 3≤3 \leq n ≤103\leq 10^3 ...