Which traversal method is guaranteed to find the shortest path in a weighted gra
Practice Questions
Q1
Which traversal method is guaranteed to find the shortest path in a weighted graph?
BFS
DFS
Dijkstra's Algorithm
A* Search
Questions & Step-by-Step Solutions
Which traversal method is guaranteed to find the shortest path in a weighted graph?
Step 1: Understand what a weighted graph is. A weighted graph is a graph where each edge has a numerical value (weight) that represents the cost to travel that edge.
Step 2: Learn about different traversal methods. The most common methods are Breadth-First Search (BFS), Depth-First Search (DFS), and Dijkstra's Algorithm.
Step 3: Recognize that BFS and DFS do not consider edge weights. They explore nodes but do not guarantee the shortest path in a weighted graph.
Step 4: Understand Dijkstra's Algorithm. It is specifically designed to find the shortest path by considering the weights of the edges.
Step 5: Conclude that Dijkstra's Algorithm is the method you should use when you want to find the shortest path in a weighted graph.
