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Grokking the Coding Interview Patterns in Python

Solution: Find Center of Star Graph

Explore how to find the center node of an undirected star graph by analyzing edges. Understand the problem, use degree counting and an optimized greedy approach that checks the first two edges to identify the center node. Learn a constant time solution that leverages star graph properties for efficient graph problem solving.

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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

  • edges.length ==== n - 1 ...