What is the significance of the negative cycles in the Dijkstra Algorithm?

Dijkstra Algorithm Questions



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What is the significance of the negative cycles in the Dijkstra Algorithm?

In the Dijkstra Algorithm, negative cycles are significant because they indicate that there is no shortest path in the graph. This is because negative cycles allow for the possibility of continuously decreasing the cost of a path by repeatedly traversing the cycle. As a result, the algorithm cannot converge and find the shortest path. Therefore, the presence of negative cycles makes the Dijkstra Algorithm invalid and unreliable for finding the shortest path.