How do you find the shortest path from source to destination?

How do you find the shortest path from source to destination?

Below are the steps:

1. Start BFS traversal from source vertex.
2. While doing BFS, store the shortest distance to each of the other nodes and also maintain a parent vector for each of the nodes.
3. Make the parent of source node as “-1”.
4. Recover all the paths using parent array.

Which algorithm is best for finding shortest path?

Dijkstra’s algorithm
Dijkstra’s algorithm (/ˈdaɪkstrəz/ DYKE-strəz) is an algorithm for finding the shortest paths between nodes in a graph, which may represent, for example, road networks. It was conceived by computer scientist Edsger W. Dijkstra in 1956 and published three years later.

What is single source shortest path problem?

The Single-Source Shortest Path (SSSP) problem consists of finding the shortest paths between a given vertex v and all other vertices in the graph. Algorithms such as Breadth-First-Search (BFS) for unweighted graphs or Dijkstra [1] solve this problem.

Which is the shortest path from source to destination?

The shortest path is 1->2->3->5 with total cost 4, but it has an odd-length path and since we are interested in even-length paths only, the shortest path with even-length is 1->2->3->4->5, with total cost 10. Input 2: N = 4, G is given below: There is no path of even-length from 1 (source node) to 4 (destination node).

How to find the shortest path in a graph?

Given an undirected graph G, the task is to find the shortest path of even-length, given 1 as Source Node and N as Destination Node. Path length refers to the number of edges present in a path (not the cost of the path).

How to find the shortest path in a binary maze?

Shortest path in a Binary Maze. Given a MxN matrix where each element can either be 0 or 1. We need to find the shortest path between a given source cell to a destination cell. The path can only be created out of a cell if its value is 1. Expected time complexity is O(MN).

How to find the shortest path in MXN?

Given a MxN matrix where each element can either be 0 or 1. We need to find the shortest path between a given source cell to a destination cell. The path can only be created out of a cell if its value is 1. Expected time complexity is O (MN).