Computer scienceAlgorithms and Data StructuresAlgorithmsGraph algorithmsShortest path algorithms

Shortest path problem

Fast and slow

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We already mentioned that there are many algorithms for solving the SSSP problem. Some of them are fast, while some others have a relatively slower time complexity.

What is the main disadvantage of these fast algorithms? In other words, why do we need the so-called slow algorithms if our goal is to be quick and efficient?

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Slow algorithms return the path itself, while the fast ones don't.

Slow algorithms work with undirected graphs as well, while the fast ones don't.

Slow algorithms are able to detect negative cycles, while the fast ones can't.

They simply use different techniques; in general, they have the same result.

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