## What is the difference between Floyd-Warshall and Dijkstra?

Dijkstra’s Algorithm is one example of a single-source shortest or SSSP algorithm, i.e., given a source vertex it finds shortest path from source to all other vertices. Floyd Warshall Algorithm is an example of all-pairs shortest path algorithm, meaning it computes the shortest path between all pair of nodes.

## Is Floyd and Warshall same?

1 Answer. The Bellman–Ford algorithm is an algorithm that computes shortest paths from a single source vertex to all of the other vertices in a weighted digraph whereas Floyd-Warshall computes shortest paths from each node to every other node.

**What is the difference between Dijkstra and A *?**

A* algorithm is just like Dijkstra’s algorithm, and the only difference is that A* tries to look for a better path by using a heuristic function, which gives priority to nodes that are supposed to be better than others while Dijkstra’s just explore all possible ways.

### What is difference between single source shortest path and all pair shortest path?

The single-source shortest-path problem requires that we find the shortest path from a single vertex to all other vertices in a graph. The all-pairs shortest-path problem requires that we find the shortest path between all pairs of vertices in a graph.

### What is the difference between single-source shortest path and all pair shortest path?

**What is Floyd Warshall algorithm?**

Floyd Warshall Algorithm. Floyd-Warshall algorithm is used to find all pair shortest path problem from a given weighted graph. As a result of this algorithm, it will generate a matrix, which will represent the minimum distance from any node to all other nodes in the graph.

#### What is the Floyd-Warshall algorithm for sparse graphs?

(A sparse graph is one that does not have many edges connecting its vertices, and a dense graph has many edges.) The Floyd-Warshall algorithm is best suited for dense graphs since it is not at all dependent on the number of edges. Performing Floyd-Warshall on a sparse graph erases its main benefit.

#### What is a weighted graph in statistics?

A weighted graph is a graph in which each edge has a numerical value associated with it. Floyd-Warhshall algorithm is also called as Floyd’s algorithm, Roy-Floyd algorithm, Roy-Warshall algorithm, or WFI algorithm.

**What is the time complexity of the shortest path algorithm?**

The time complexity of this algorithm is O (V^3), where V is the number of vertices in the graph. Input − The cost matrix of given Graph. Output: Matrix to for shortest path between any vertex to any vertex.