सरल और नोड्स के बीच कम से कम पथ की गणना करने के लिए सबसे तेज़ तरीका

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

You can request any additional features.

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