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Detect Cycle in a Directed Graph

In a directed graph, a cycle is a path of edges that starts and ends at the same vertex. If a graph contains such a cycle, it is said to have a "cycle" or to be "cyclic". Detecting cycles in a directed graph is the process of determining whether a given directed graph contains at least one cycle.

Detect Cycle in a Directed Graph

There are several algorithms to detect cycles in a directed graph. One common approach is to use Depth First Search (DFS) algorithm.

The idea behind the algorithm is to visit each node in the graph using DFS and keep track of the nodes that are currently being visited. If during the traversal, we encounter a node that is already being visited, it means there is a cycle in the graph.

Using DFS

Here given code implementation process.

Using colors

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