Practice Cycles In Graphs (22.3) - Applications of BFS and DFS - Design & Analysis of Algorithms

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9 questions

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6 sample questions

Question 1.
Define what a graph is.
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Think about a diagram of points and connections.
Question 2.
What does BFS stand for?
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Consider the order in which it's used to explore a graph.
3Question 3.
What is the primary use of BFS?
- To explore depth first
- To find paths level by level
- To mark all vertices
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Consider what happens with layers of a graph.
4Question 4.
True or False: A cyclic graph cannot have any loops.
- True
- False
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Think about connections that allow returning.
Question 5.
Create a directed graph with at least five vertices, ensuring there’s one cycle. Run DFS and document the order of visits and any cycles detected.
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Remember to keep track of each vertex’s pre and post numbers.
Question 6.
In a given graph structure, identify critical edges that, when removed, would disconnect the graph. Provide evidence for your findings.
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Consider what happens to connectivity if certain paths are eliminated.

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