The simplest and the fastest way to calculate shortest paths between nodes

Instructions:

1. Set the Total Number of Nodes

2. Add information about the distance from one node to another and Click. If you make a mistake, click the row to delete it.

3. Make sure the and "From" values are less than the number of Nodes.

4. Set the starting Node. Must be between 1 and Number of Nodes. Default is 0

5. Click "Calculate" to see the Distance from Node 1 to the rest of the Nodes!

6. Rate App to Support Developer

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Dijkstra's algorithm, conceived by computer scientist Edsger Dijkstra in 1956 and published in 1959,[1][2] is an algorithm for finding the shortest paths between nodes in graph (which may represent, for example, road networks). The algorithm exists in many variants; Dijkstra's original variant found the shortest path between two nodes,[2] but a more common variant fixes a single node as the "source" node and finds shortest paths from the source to all other nodes in the graph, producing a shortest path tree.

1 function Dijkstra(Graph, source):

2

3 dist[source] ← 0 // Distance from source to source

4 prev[source] ← undefined // Previous node in optimal path initialization

5

6 for each vertex v in Graph: // Initialization

7 if v ≠ source // Where v has not yet been removed from Q (unvisited nodes)

8 dist[v] ← infinity // Unknown distance function from source to v

9 prev[v] ← undefined // Previous node in optimal path from source

10 end if

11 add v to Q // All nodes initially in Q (unvisited nodes)

12 end for

13

14 while Q is not empty:

15 u ← vertex in Q with min dist[u] // Source node in first case

16 remove u from Q

17

18 for each neighbor v of u: // where v is still in Q.

19 alt ← dist[u] + length(u, v)

20 if alt < dist[v]: // A shorter path to v has been found

21 dist[v] ← alt

22 prev[v] ← u

23 end if

24 end for

25 end while

26

27 return dist[], prev[]

28

29 end function

Source: Wikipedia