Why Bellmen-Ford working but Dijkstra not?

Bellman-Ford runs for at most n−1 iterations to relax all edges, ensuring the shortest paths are found. After this, it performs one more check to detect negative weight cycles. In contrast, Dijkstra’s algorithm relies on a greedy approach, assuming all edge weights are positive. If a graph contains negative weights or negative cycles, Dijkstra may produce incorrect results or enter an infinite loop in some implementations, leading to unexpected behavior

Mar 10, 2025 - 11:43

Why Bellmen-Ford working but Dijkstra not?

Bellman-Ford runs for at most n−1 iterations to relax all edges, ensuring the shortest paths are found. After this, it performs one more check to detect negative weight cycles. In contrast, Dijkstra’s algorithm relies on a greedy approach, assuming all edge weights are positive. If a graph contains negative weights or negative cycles, Dijkstra may produce incorrect results or enter an infinite loop in some implementations, leading to unexpected behavior