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Questions and Answers
What is a connected component in an undirected graph?
What is a connected component in an undirected graph?
- A path connecting two vertices
- A subgraph in which each vertex is connected to another
- A subgraph in which each pair of vertices is connected via a path (correct)
- A subgraph in which each vertex is connected to all other vertices
What is the complexity of DFS?
What is the complexity of DFS?
- O(V
- O(V + E
- O(E
- O(E + V (correct)
What is the space complexity of DFS?
What is the space complexity of DFS?
- O(V
- O(V + E
- O(E
- O(E + V (correct)
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Study Notes
- In an undirected graph, a connected component is a subgraph in which each pair of vertices is connected via a path.
- DFS can be used to explore a connected component, and each time we finish exploring a connected component, we can find another vertex that has not been visited yet, and start a new DFS from there.
- The complexity of DFS is {O}(E+V)O(E+V).
- Building the adjacency list will take {O}(E)O(E) operations, and the space complexity of DFS is {O}(E+V)O(E+V).
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