Question: The Floyd-Warshall algorithm fails (does not work correctly) if the input graph has a negative weight cycle. (a) Draw a small graph with a negative-weight

The Floyd-Warshall algorithm fails (does not work correctly) if the input graph has a negative weight cycle.

(a) Draw a small graph with a negative-weight cycle. Demonstrate the result of running Floyd-Warshall on it (show D(k) for k = 1, . . . , n).

(b) In general, how can you use the output of the Floyd-Warshall algorithm to detect the presence of a negative-weight cycle?

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