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Concept
Negative Weight Cycle
A
negative weight cycle
in a graph is a cycle whose
edges sum
up to a
negative value
, allowing for the possibility of reducing the
total path cost
indefinitely by
traversing the cycle
repeatedly. This phenomenon is crucial in
shortest path algorithms
as it can lead to
incorrect results
, and algorithms like Bellman-Ford are specifically designed to
detect such cycles
.
Relevant Degrees
Probability and Statistics 100%
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