Add :Cycle detection in undirected graph using Union–Find #3061
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Description of Change
Added a new implementation
graph/cycle_check_undirected_dsu.cppfor Cycle Detection in Undirected Graph using Disjoint Set Union (Union–Find) with path compression and union by rank.This complements the existing directed graph version and efficiently detects cycles in O(E α(V)) time.
The program includes inline tests, handles self-loops and disconnected graphs, and follows C++17 and Doxygen documentation standards.
Checklist
Notes:
Efficient DSU-based cycle detection for undirected graphs — complements
cycle_check_directed_graph.cpp.Expected output during self-test: