How does Dijkstra's algorithm ensure finding the shortest path in a weighted graph?

  • It always selects the vertex with the highest tentative distance
  • It considers only the edge weights, ignoring vertex values
  • It performs a random walk on the graph
  • It uses a priority queue to select the vertex with the smallest tentative distance
Dijkstra's algorithm ensures finding the shortest path by using a priority queue to consistently choose the vertex with the smallest tentative distance at each step, guaranteeing an optimal solution.
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