Solution: Detect Cycle in a Directed Graph
The solution for detecting a cycle in a directed graph utilizes a depth-first search (DFS) approach. It involves maintaining two boolean arrays to track visited nodes and nodes in the current recursion stack. The algorithm recursively explores each node's adjacent nodes, checking for cycles by identifying if a node is revisited during the traversal. If a cycle is detected, the function returns true; otherwise, it returns false after all nodes are processed. The time complexity is O(V + E), and the space complexity is O(V), where V represents the number of vertices in the graph.
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Statement
Given a directed graph, check whether the graph contains a cycle and return a boolean value accordingly.
A cycle occurs when you can start at one vertex, follow a path through the edges, and return to the starting vertex. This means at least one vertex is visited more than once within the same traversal path.
Note: Edges list is interpreted in the following manner:
edges = [[0, 2, 1], [], [2, 1, 0]]
Interpretation:
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