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Does Dijkstra's Algorithm work when there might be arcs with negative weights?
Wiki User
∙ 13y ago
No, Dijkstra's algorithm can not be used when there are negative arc lengths.
In Dijkstra's, the vertex that can be reached from the current set of labeled vertices and that of having the minimum weight among the alternatives is permanently labeled in that iteration. Since a negative arc weight would result in changing the label of a pre-permanently-labeled vertex, the algo collapses.
Bellman's algorithm is used with negative arc lengths.
Wiki User
∙ 13y ago
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Negative. -2 + -3 = -5 You might be confused with multiplication, where the product is positive
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Whenever you have two opposites, you can use positive number for one, and negative numbers for the other. For example: * Having money might be positive, owing money might be negative (owing money is worse than just having nothing). * Getting money might be a positive change; spending money (or otherwise losing it), a negative change. * Places above sea level might be assigned a positive altitude; places below sea level, a negative altitude. * If latitudes north of the equator are defined as positive, then latitudes south of the equator would be negative. Or the other way round.
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