Which algorithm is used for finding the shortest path in a weighted graph?

Which algorithm is used for finding the shortest path in a weighted graph?

Step 1: Understand what a weighted graph is. A weighted graph is a type of graph where each edge has a numerical value (weight) that represents the cost to travel from one vertex to another.
Step 2: Learn about the problem of finding the shortest path. The shortest path is the route between two vertices that has the smallest total weight.
Step 3: Identify the algorithm used for this problem. Dijkstra's Algorithm is a method specifically created to find the shortest path in a weighted graph.
Step 4: Know how Dijkstra's Algorithm works. It starts at a source vertex and explores all possible paths to find the shortest one by continuously updating the shortest known distance to each vertex.
Step 5: Remember that Dijkstra's Algorithm only works with graphs that have non-negative weights.

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