Connected Component and DFS in Graphs Quiz
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Questions and Answers

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?

  • O(V
  • O(V + E
  • O(E
  • O(E + V (correct)

    • What is the space complexity of DFS?

  • O(V
  • O(V + E
  • O(E
  • O(E + V (correct)

    • 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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    Description

    Test your knowledge on connected components and Depth-First Search (DFS) in undirected graphs. Explore the concepts of connected components and the complexity of DFS algorithm.

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