Union Find
Detailed guide and Python implementation for the 'Union Find' problem.
Problem Statement
Write a function detect_cycle_union_find(V, edges) that detects if there is a cycle in an undirected graph of V vertices and a list of edges edges represented as pairs (u, v) using the Union-Find data structure. Return True if a cycle exists, else False.
- •1 <= V <= 1000
- •0 <= len(edges) <= 2000
Examples
V = 3, edges = [(0, 1), (1, 2), (2, 0)]
True
Edge (2, 0) connects vertices 2 and 0 which are already in the same subset, detecting a cycle.
V = 3, edges = [(0, 1), (1, 2)]
False
No subset connections merge vertices already in the same subset.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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