If the graph is unweighted, the shortest path contains a minimal number of edges. A breadth first search (BFS) will solve the problem in this case, using a queue to visit nodes in order of their distance from the source. If there are many vertices but few edges, this runs much faster ...
Declare a queue for BFS traversal. Check whether a path from the current node is possible or not. If possible Mark the node visited. EnQueue its neighbour nodes if unvisited Check forfinal nodeto be reached. In case of traversing to the neighbour nodes increment node datadistanceby 1. ...
Shortest Path Tree: This, in a graph, is created in such a way that all the nodes of the graphs are traversed and no cycle is formed. There are various famous algorithms that are used to find the shortest path tree, such as Dijkstra's Algorithm. ...
Note that in BFS, all cells having the shortest path as 1 are visited first, followed by their adjacent cells having the shortest path as 1 + 1 = 2 and so on… so if we reach any node in BFS, its shortest path is one more than the shortest path of the parent. So, the first o...