Practice Complexity Of Depth First Search (21.1.4)

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6 sample questions

Question 1.
What does DFS stand for?
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Think about how the algorithm explores.
Question 2.
Which data structure can be used to implement DFS?
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Consider the order of operations in DFS.
3Question 3.
What is the time complexity of DFS when represented with an adjacency list?
- O(n²)
- O(m + n)
- O(n)
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Think about the relationships between edges and vertices.
4Question 4.
True or False: Depth First Search guarantees the shortest path in a graph.
- True
- False
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Consider how DFS operates compared to BFS.
Question 5.
Given a graph represented using an adjacency list, analyze its structure using DFS to determine if it contains cycles. Provide the step-wise execution.
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Cycling might reveal itself by re-entering a previously visited node.
Question 6.
Develop a DFS function that computes the connected components of a graph. Explain how you will classify connected nodes during your traversal.
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Think about how you can maintain a list while traversing.

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