What is the time complexity of depth-first search (DFS) in a graph?

What is the time complexity of depth-first search (DFS) in a graph?

Step 1: Understand that a graph consists of vertices (points) and edges (connections between points).
Step 2: Recognize that depth-first search (DFS) is an algorithm used to explore all the vertices and edges in a graph.
Step 3: Note that during the DFS process, each vertex is visited once.
Step 4: Also note that each edge is traversed once when moving from one vertex to another.
Step 5: Count the total number of vertices in the graph, denoted as V.
Step 6: Count the total number of edges in the graph, denoted as E.
Step 7: Combine the visits to vertices and edges to find the total time taken by DFS, which is V (for vertices) + E (for edges).
Step 8: Conclude that the time complexity of DFS is O(V + E).

No concepts available.