Which of the following algorithms finds the shortest path in any unweighted graph?

Which of the following algorithms finds the shortest path in any unweighted graph?

We say that BFS is the algorithm to use if we want to find the shortest path in an undirected, unweighted graph. The claim for BFS is that the first time a node is discovered during the traversal, that distance from the source would give us the shortest path.

How is shortest path algorithm calculated?

Dijkstra’s Algorithm

1. Mark the ending vertex with a distance of zero. Designate this vertex as current.
2. Find all vertices leading to the current vertex. Calculate their distances to the end.
3. Mark the current vertex as visited.
4. Mark the vertex with the smallest distance as current, and repeat from step 2.

Is DFS guaranteed to find shortest path?

No, you cannot use DFS to find shortest path in an unweighted graph. It is not the case that, finding the shortest path between two nodes is exclusively solved by BFS. In an unweighted graph the shortest path are the smallest number of edges that must be traversed from source to destination nodes.

How to find the shortest path in a graph?

Input: source vertex = 0 and destination vertex is = 7. Output: Shortest path length is:2 Path is:: 0 3 7 Input: source vertex is = 2 and destination vertex is = 6. Output: Shortest path length is:5 Path is:: 2 1 0 3 4 6 Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Why do we need a shortest path algorithm?

However, for computer scientists this problem takes a different turn, as different algorithms may be needed to solve the different problems. For simplicity, shortest path algorithms operate on a graph, which is made up of vertices and edges that connect them. A graph may be directed, indirected, weighted, and more.

What happens if there is a negative cycle in a graph?

It’s important to note that if there is a negative cycle – in which the edges sum to a negative value – in the graph, then there is no shortest or cheapest path. Meaning the algorithm is prevented from being able to find the correct route since it terminates on a negative cycle.

How often does Dijkstra’s algorithm need to be run?

The algorithm runs until all of the reachable nodes have been visited. Therefore, you would only need to run Dijkstra’s algorithm once, and save the results to be used again and again without re-running the algorithm – again, unless the graph data structure changed in any way.