Search⌘ K

Solution: Detect Cycle in a Directed Graph

Explore how to detect cycles in a directed graph using depth-first search in C++. Understand the algorithm's use of recursion stacks and visited nodes to identify cyclic paths. This lesson helps you implement cycle detection efficiently and analyze its time and space complexity.

We'll cover the following...

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:

0:0,2,10: 0, 2, 1
1:1: None
2:2,1,02: 2, 1, 0 ...