Which algorithm is used to find the all pair shortest path in a weighted directed graph?

Floyd Warshall Algorithm
The Floyd Warshall Algorithm is for solving the All Pairs Shortest Path problem. The problem is to find shortest distances between every pair of vertices in a given edge weighted directed Graph.

Which algorithm will you use to determine the shortest path between the nodes in a graph?

Dijkstra’s algorithm
Dijkstra’s algorithm can be used to determine the shortest path from one node in a graph to every other node within the same graph data structure, provided that the nodes are reachable from the starting node. Dijkstra’s algorithm can be used to find the shortest path.

Would you use BFS to find the shortest path between two nodes in a weighted graph with arbitrary edge weights justify your answer?

Solution: TRUE. Since BFS finds paths using the fewest number of edges, the BFS depth of any vertex is at least as small as the DFS depth of the same vertex. Thus, the DFS tree has a greater or equal depth.

Which algorithm we should use to find the shortest paths when the graph 1 is weighted and sparse 2 contains cycles and 3 does not contain negative weight edges?

The best-known algorithm for finding single-source shortest paths in a directed graph with negative edge weights is the Bellman-Ford algorithm.

Which algorithm will you use to determine the shortest path between the nodes in a graph Mcq?

Dijkstra’s algorithm is an algorithm used for finding the shortest paths between nodes or vertices in a graph.

How do you find the shortest path on a directed graph?

Given a directed graph where every edge has weight as either 1 or 2, find the shortest path from a given source vertex ‘s’ to a given destination vertex ‘t’. Expected time complexity is O (V+E). A Simple Solution is to use Dijkstra’s shortest path algorithm, we can get a shortest path in O (E + VLogV) time.

How to use Dijkstra’s algorithm to find the shortest path?

Below are the detailed steps used in Dijkstra’s algorithm to find the shortest path from a single source vertex to all other vertices in the given graph. 1) Create a set sptSet (shortest path tree set) that keeps track of vertices included in the shortest-path tree, i.e., whose minimum distance from the source is calculated and finalized.

What is the best algorithm for a graph with negative edges?

It may give correct results for a graph with negative edges but you must allow a vertex can be visited multiple times and that version will lose its fast time complexity. For graphs with negative weight edges and cycles, Bellman–Ford algorithm can be used, we will soon be discussing it as a separate post.

How to find the shortest path from one vertex to another vertex?

Below are the detailed steps used in Dijkstra’s algorithm to find the shortest path from a single source vertex to all other vertices in the given graph. 1) Create a set sptSet (shortest path tree set) that keeps track of vertices included in shortest path tree, i.e., whose minimum distance from source is calculated and finalized.