What are negative weight cycles in graphs?
An example of an AI chatbot conversation about negative weight cycles in graphs.
Can you explain what negative weight cycles are in graphs?
Sure! A negative weight cycle is a cycle in a graph where the sum of the edge weights is negative.
Why are negative weight cycles important in graph algorithms?
They can lead to infinite loops in algorithms like Bellman-Ford, affecting shortest path calculations.
How can we detect negative weight cycles?
You can use the Bellman-Ford algorithm, which checks for negative weight cycles after finding shortest paths.
Can you give an example of a negative weight cycle?
Certainly! In a triangle with edges of weights 1, -2, and 1, the total weight is 0, but if you add another edge with weight -1, it becomes negative.
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