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MediumGraph Algorithmsgraph-017

Cycle Detection Undirected

Problem

Decide whether an undirected graph with n nodes contains a cycle.

Self-loops and parallel edges (the same pair listed twice) both count as cycles. edges is a list of [u, v] pairs.

Hint

An edge whose endpoints already share a root closes a cycle.

Test cases

case 1
in: [4,[[0,1],[1,2],[2,3]]]
expected: false
case 2
in: [3,[[0,1],[1,2],[2,0]]]
expected: true
case 3
in: [4,[[0,1],[0,1]]]
expected: true
case 4
in: [1,[]]
expected: false
case 5
in: [3,[[0,0]]]
expected: true
Starter codePython
def has_cycle_undirected(n, edges):
    # Your code here
    pass

5 test cases · run your code against them in the editor