With these it helps It is not better at finding the shortest path. As long as you have an admissible heuristic for A* it will find the shorted path quicker than Dijkstra's would. And as Mehrad pointed out in the comments, A* degrades into Dijktras if you give it a heuristic function that returns 0.
Dijkstra's Algorithm team project not running because I named it Dijkstra(Project name)?
With these it helps A simple example is a collection of four nodes placed at the corners of a square. Place edges of cost 2 between any two adjacent corners, and place edges of cost 3 running diagonally across the square. Running Dijkstra's algorithm from any corner will pick these edges:
* -- *
* -- *
* -- *
Why do we run Dijkstra's algorithm only V times in Johnson's algorithm?
To fix the issue you can do Given any two points, each time we run Bellman-Ford we correctly extend our understanding of the shortest path by at least one edge. And then stop improving. The longest possible shortest path visits every vertex in the graph once. That path has V vertices and V-1 edges. Therefore once we've run V-1 times we must have found every possible shortest path.
Dijkstra's algorithm a greedy or dynamic programming algorithm?