# What is the difference between Dijkstra and Bellman-Ford?

## What is the difference between Dijkstra and Bellman-Ford?

Dijkstra’s algorithm is very similar to Prim’s algorithm for minimum spanning tree….What are the differences between Bellman Ford’s and Dijkstra’s algorithms?

Bellman Ford’s Algorithm | Dijkstra’s Algorithm |
---|---|

It can easily be implemented in a distributed way. | It can not be implemented easily in a distributed way. |

**Why is Dijkstra better than Bellman-Ford?**

The only difference is that Dijkstra’s algorithm cannot handle negative edge weights which Bellman-ford handles. And bellman-ford also tells us whether the graph contains negative cycle. If graph doesn’t contain negative edges then Dijkstra’s is always better.

### Is Bellman-Ford A greedy algorithm?

Dijkstra’s algorithm is a Greedy algorithm and time complexity is O((V+E)LogV) (with the use of Fibonacci heap). Dijkstra doesn’t work for Graphs with negative weights, Bellman-Ford works for such graphs. Bellman-Ford is also simpler than Dijkstra and suites well for distributed systems.

**Where is Bellman-Ford used?**

Applications. A version of Bellman-Ford is used in the distance-vector routing protocol. This protocol decides how to route packets of data on a network. The distance equation (to decide weights in the network) is the number of routers a certain path must go through to reach its destination.

## Which is more efficient the Dijkstra or Bellman-Ford?

The two algorithms are compared which are Dijkstra and Bellman-Ford algorithms to conclude which of them is more efficient for finding the shortest path between two vertices. Our results show that the Dijkstra algorithm is much faster than the algorithm of the Bellman ford and commonly used in real-time applications.

**What is the difference between Bellman Ford and Dijkstra’s algorithm?**

However, there are some key differences between them. We follow the Dynamic Programming approach in Bellman Ford’s algorithm and Greedy approach in Dijkstra’s algorithm. Let’s see the other major differences between these two techniques-

### What is the complexity of Bellman Ford’s graph?

Bellman Ford has complexity O (n*m) where n is number of vertices, and m is number of edges. I think you are thinking of Floyd Warshall which has complexity O (n^3).

**Does Bellman Ford’s algorithm work when there is negative weight edge?**

Bellman Ford’s Algorithm works when there is negative weight edge, it also detects the negative weight cycle. Dijkstra’s Algorithm doesn’t work when there is negative weight edge.

## How do you initialize the Bellman Ford algorithm?

Theoretical Idea In the Bellman-Ford algorithm, we begin by initializing all the distances of all nodes with , except for the source node, which is initialized with zero. Next, we perform steps. In each step, we iterate over all the edges inside the graph.