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Solution: Find Center of Star Graph

Explore how to discover the center node of a star graph by examining the first two edges for shared nodes. Understand an optimized approach that uses graph properties to solve the problem in constant time, improving efficiency when evaluating graph structures.

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:

  • 33 \leq n 103\leq 10^3 ...