Which traversal method is guaranteed to find the shortest path in a weighted gra

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Question: Which traversal method is guaranteed to find the shortest path in a weighted graph?

Options:

Correct Answer: Dijkstra\'s Algorithm

Solution:

Dijkstra\'s Algorithm is specifically designed to find the shortest path in weighted graphs, unlike BFS and DFS.

Which traversal method is guaranteed to find the shortest path in a weighted graph?

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.

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