Which traversal method is guaranteed to visit all vertices in a connected graph?
Practice Questions
Q1
Which traversal method is guaranteed to visit all vertices in a connected graph?
BFS
DFS
Both BFS and DFS
Neither BFS nor DFS
Questions & Step-by-Step Solutions
Which traversal method is guaranteed to visit all vertices in a connected graph?
Step 1: Understand what a connected graph is. A connected graph is a type of graph where there is a path between every pair of vertices.
Step 2: Learn about traversal methods. There are two common methods to traverse a graph: Breadth-First Search (BFS) and Depth-First Search (DFS).
Step 3: Know that both BFS and DFS start at a vertex and explore all reachable vertices from that starting point.
Step 4: Since the graph is connected, both BFS and DFS will eventually reach all vertices because there is a path to each vertex from the starting point.
Step 5: Conclude that both BFS and DFS are guaranteed to visit all vertices in a connected graph.