What are negative weight edges in graphs?
Negative weight edges are edges in a graph that have a weight (or cost) that is less than zero. They can affect shortest path algorithms.
How do negative weight edges impact Dijkstra's algorithm?
Dijkstra's algorithm assumes all edge weights are non-negative, so it can fail or produce incorrect results with negative weight edges.
What algorithm can handle negative weight edges?
The Bellman-Ford algorithm can handle graphs with negative weight edges and can also detect negative weight cycles.
Can you give an example of a negative weight edge?
Sure! In a graph representing a financial transaction, an edge from A to B might represent a gain of $5, while an edge from B to A could represent a loss of $10, making it a negative weight edge.
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