22.4.1. Using BFS for Cycle Detection

Try these first

1. 1.

   Define BFS.

   Hint

   Think about what BFS does in terms of exploring nodes.

2. 2.

   What is a connected component?

   Hint

   Consider how nodes are reachable from one another.

3. 3.

   Which of the following algorithms is used to detect cycles in undirected graphs?

   • Depth-First Search
   • Breadth-First Search
   • Dijkstra's Algorithm

   Hint

   Think about how each traversal visits nodes.

4. 4.

   True or False: In a directed graph, a cross edge indicates a cycle.

   • True
   • False

   Hint

   Consider how each edge connects the vertices.

5. 5.

   Given a directed graph, implement BFS to detect cycles. Describe your method and identify any cycles found.

   Hint

   Focus on marking and tracking edges used during traversal.

6. 6.

   Create a visual representation of a graph with at least two distinct cycles using BFS. Describe how you identified each cycle.

   Hint

   Use different colors to trace edges of various types in your visual representation.