Graph Cycle Detection in C++

A cycle in a graph is a path that starts and ends at the same vertex, with no repeated edges or vertices other than the first and the last vertex. Graphs containing cycles are called cyclic graphs. Let us consider the following undirected graph having 4 vertices:

In the above undirected graph, there is a cycle present between the vertices 0,1 and 2. If you start traversing the graph from any of these vertices you will get stuck in an infinite loop.

There are 2 methods through which we can detect a cycle in an undirected graph:

• Detect Cycle using Depth First Search (DFS)
• Detech Cycle using Breadth First Search (BFS)

Detecting cycles in a graph is a crucial problem in graph theory that has various applications in fields like network analysis, databases, compilers, and many others. In this article, we will learn how to detect cycles in a graph in C++.