What are negative weights in graphs and how do they affect algorithms?
An example of an AI chatbot conversation about negative weights in graphs and their impact on algorithms.
What are negative weights in graphs?
Negative weights in graphs refer to edges that have a value less than zero. They can represent costs or losses.
How do negative weights affect graph algorithms?
Negative weights can complicate algorithms like Dijkstra's, which assumes all weights are non-negative. They require different approaches.
Can you give an example of an algorithm that handles negative weights?
Sure! The Bellman-Ford algorithm can handle graphs with negative weights and can also detect negative cycles.
What is a negative cycle?
A negative cycle is a cycle in a graph where the sum of the edge weights is negative, allowing for infinite reduction in path cost.
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