## What is the Bellman-Ford equation?

1. Bellman-Ford detects negative cycles, i.e. if there is a negative cycle reachable from the source s, then for some edge (u, v), dn-1(v) > dn-1(u) + w(u, v). 2. If the graph has no negative cycles, then the distance estimates on the last iteration are equal to the true shortest distances.

What is the difference between Kruskal and Bellman-Ford algorithm?

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.

Is Dijkstra’s greedy?

Dijkstra Algorithm is a graph algorithm for finding the shortest path from a source node to all other nodes in a graph(single source shortest path). It is a type of greedy algorithm.

### When did Bellman-Ford fail?

If there are negative cycles (reachable from the source), Bellman-Ford can be considered to fail.

What is Bellman-Ford algorithm used for?

Bellman Ford algorithm helps us find the shortest path from a vertex to all other vertices of a weighted graph. It is similar to Dijkstra’s algorithm but it can work with graphs in which edges can have negative weights.

Is Kruskal and Dijkstra the same?

The basic difference, I would say, is that given a set of nodes, Dijkstra’s algorithm finds the shortest path between 2 nodes. Which does not necessarily cover all the nodes in the graph. However on Kruskal’s case, the algorithm tries to cover all the nodes while keeping the edge cost minimum.

#### Why do we use Kruskal algorithm?

Kruskal’s Algorithm is used to find the minimum spanning tree for a connected weighted graph. The main target of the algorithm is to find the subset of edges by using which we can traverse every vertex of the graph.

Is Dijkstra A DFS?

DFS keeps jumping along nodes until it finds a path, While Dijkstra is more similar to a BFS except it keeps track of weights (not all paths have equal cost) and will keep checking the shortest path not already checked until it gets to the target.