3 Questions
What is a connected component in an undirected graph?
A subgraph in which each pair of vertices is connected via a path
What is the complexity of DFS?
O(E + V
What is the space complexity of DFS?
O(E + V
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).
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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