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Is there an algorithm that is more time efficient than O(n^2) for detecting cycles within a directed graph?
I have a directed graph representing a schedule of jobs that need to be executed, a job being a node and a dependency being an edge. I need to detect the error case of a cycle within this graph leading to cyclic dependencies.
Tarjan’s strongly connected components algorithm has
O(|E| + |V|)time complexity.For other algorithms, see Strongly connected components on Wikipedia.