What is the primary purpose of Breadth-First Search (BFS) in graph traversal?
Practice Questions
1 question
Q1
What is the primary purpose of Breadth-First Search (BFS) in graph traversal?
To find the shortest path in a weighted graph
To explore all vertices at the present depth before moving on to vertices at the next depth level
To sort the vertices of the graph
To find a cycle in the graph
BFS explores all vertices at the present depth level before moving on to the next level, making it suitable for finding the shortest path in unweighted graphs.
Questions & Step-by-step Solutions
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Q
Q: What is the primary purpose of Breadth-First Search (BFS) in graph traversal?
Solution: BFS explores all vertices at the present depth level before moving on to the next level, making it suitable for finding the shortest path in unweighted graphs.
Steps: 5
Step 1: Understand that BFS is a method used to explore graphs, which are made up of nodes (or vertices) connected by edges.
Step 2: Recognize that BFS starts at a specific node and explores all its neighbors first.
Step 3: After exploring all neighbors of the starting node, BFS moves on to the neighbors of those neighbors.
Step 4: This process continues level by level, meaning it explores all nodes at the current depth before going deeper.
Step 5: The primary purpose of BFS is to find the shortest path between two nodes in an unweighted graph, as it guarantees that the first time it reaches a node, it does so using the shortest possible path.