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.

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.

1) Detect cycle in directed graph using bfs in c 2) Detect cycle in directed graph using bfs in java 3) Detect cycle in directed graph using bfs in c++ 4) Detect cycle in directed graph using bfs in golang 5) Detect cycle in directed graph using bfs in c# 6) Detect cycle in directed graph using bfs in vb.net 7) Detect cycle in directed graph using bfs in php 8) Detect cycle in directed graph using bfs in node js 9) Detect cycle in directed graph using bfs in typescript 10) Detect cycle in directed graph using bfs in python 11) Detect cycle in directed graph using bfs in ruby 12) Detect cycle in directed graph using bfs in scala 13) Detect cycle in directed graph using bfs in swift 14) Detect cycle in directed graph using bfs in kotlin

Using colors

1) Detect cycle in directed graph using colors in c 2) Detect cycle in directed graph using colors in java 3) Detect cycle in directed graph using colors in c++ 4) Detect cycle in directed graph using colors in c# 5) Detect cycle in directed graph using colors in vb.net 6) Detect cycle in directed graph using colors in php 7) Detect cycle in directed graph using colors in node js 8) Detect cycle in directed graph using colors in typescript 9) Detect cycle in directed graph using colors in python 10) Detect cycle in directed graph using colors in ruby 11) Detect cycle in directed graph using colors in swift 12) Detect cycle in directed graph using colors in kotlin 13) Detect cycle in directed graph using colors in golang 14) Detect cycle in directed graph using colors in scala