Graph Cycles and Longest Path Computations

Cycle Detection and Connectivity Union-Find, DFS/BFS, and topological sorting can detect cycles and verify graph connectivity in $O(n + m)$ time. Topological sorting also identifies cycles in directed graphs. Problem: Acyclic Directed Graph Check Description: Given a directed graph with $N$ nodes and $M$ edges where each edge $(a_i, b_i)$ conne ...

Posted on Wed, 23 Sep 2026 16:42:07 +0000 by casty