What is the primary purpose of shortest path algorithms like Dijkstra's, Bellman-Ford, and Floyd-Warshall?

  • Discovering the path with the maximum number of edges.
  • Finding the longest path in a graph.
  • Identifying the path with the minimum sum of edge weights between two vertices.
  • Sorting vertices based on their degrees.
The primary purpose of shortest path algorithms such as Dijkstra's, Bellman-Ford, and Floyd-Warshall is to identify the path with the minimum sum of edge weights between two vertices. These algorithms are crucial for solving optimization problems related to network routing and transportation.
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