# What are negative edge weights?

## What are negative edge weights?

It is a weighted graph in which the total weight of an edge is negative. If a graph has a negative edge, then it produces a chain. After executing the chain if the output is negative then it will give – ∞ weight and condition get discarded.

**Can Dijkstra work with negative weights?**

Since Dijkstra’s goal is to find the optimal path (not just any path), it, by definition, cannot work with negative weights, since it cannot find the optimal path.

### What does negative edge mean?

Negative edge, the name for a concept in fighting game theory for games such as Street Fighter II, wherein a special move is made easier to execute by allowing the player to execute such a move by using a joystick command followed by the release of a previously depressed pushbutton.

**What is negative edge cycle?**

A negative cycle is one in which the overall sum of the cycle becomes negative. Negative weights are found in various applications of graphs. For example, instead of paying cost for a path, we may get some advantage if we follow the path.

#### Which algorithm performs if any edge contains negative value?

Bellman Ford’s Algorithm works when there is negative weight edge, it also detects the negative weight cycle. Dijkstra’s Algorithm may or maynot work when there is negative weight edge.

**Which algorithm does not work with negative edges?**

As 3 is less than 5, but Dijkstra’s algorithm gives the incorrect answer as 5, which is not the shortest distance. Therefore Dijkstra’s Algorithm fails for negative cases.

## Does a * Work with negative weights?

Thus, even with negative-weight edges, A* will find the optimal path if such a path exists, as long as there are finite number of edges with f-value less than the optimal cost.

**Does Floyd-Warshall work for negative weights?**

Floyd–Warshall algorithm is an algorithm for finding the shortest paths in a weighted graph with positive or negative edge weights (but with no negative cycles). It does so by comparing all possible paths through the graph between each pair of vertices and that too with O(V3) comparisons in a graph.