Summary:

This C++ code defines a Solution class with a method is Cyclic to detect cycles in a directed graph using Depth-First Search (DFS). The solve function is a recursive helper function for DFS traversal, maintaining two maps to track visited nodes and nodes in the current DFS traversal path. The algorithm explores each node, marking it visited and checking for cycles by detecting nodes already in the current DFS path. If a node is visited and is part of the current DFS path, a cycle is detected, and the function returns true. The main function iterates through all nodes, invoking the solve function on unvisited nodes, returning true if a cycle is found and false otherwise.

Solution:

Code explanation:

• The solve function performs a DFS traversal on the graph starting from the source node (src).

• It uses two maps (visited and dfsTrack) to keep track of visited nodes and nodes in the current DFS path.

• The loop iterates through the neighbors of the current node, recursively calling solve for unvisited nodes.

• If a neighbor is already visited and is part of the current DFS path, a cycle is detected, and the function returns true.

• After exploring all neighbors, the current node is marked as not in the DFS path (dfsTrack[src] = false) before returning false.

• The isCyclic function iterates through all nodes, invoking the solve function on unvisited nodes. If any invocation returns true, indicating a cycle, the function returns true; otherwise, it returns false.

• The algorithm leverages DFS to efficiently detect cycles in directed graphs, making use of visited and DFS path tracking to identify cycles during traversal.

Answered by: >aman63t28

Credit: >GeekforGeeks

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