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Detect Cycle in Undirected Graph
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Detect Cycle in Undirected Graph

MediumPython

Problem

Given an undirected graph with N vertices and M edges, determine whether the graph contains a cycle.

Asked in the Technical round 1 stage. Candidate started with a hash map approach then optimised.

Input

  • n: number of vertices labeled 0 to n - 1
  • edges: list of undirected edges, where each edge is [u, v]

Output

Return True if the graph contains at least one cycle, otherwise return False.

Constraints

  • 1 <= n <= 10^5
  • 0 <= M <= 10^5
  • 0 <= u, v < n
  • The graph may be disconnected
  • No self-loops or duplicate edges unless stated otherwise

Function Signature

def has_cycle(n, edges):
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