Dijkstra 's algorithm i a popular method used in computer science to find the shortest path between nodes in a graph. It is widely applied in network routig, map navigation and varioos optimization problems. Tiss article proveides a step-by-step overview of how to perform calculations using Dijkstra' s algoritth th pathm.

Understanding the Algorithm

Az algoritmus működik, hogy a legtöbbször kiválasztod, hogy milyen kis méretű, de nem olyan, mint a többi.

Step- by- step Calculation Process

A, B, C, D, and E, and the following weightededges:

  • A to B: 4
  • A to C: 2
  • B to C: 1
  • B to D: 5
  • C to D: 8
  • C to E: 10
  • D to E: 2

Starting from node A, inicialize distances: A = 0, other s = infinity. Mark all nodes as unvisited.

Iteration 1

A (distance 0). Update neighing nodes B and C:

Distance to B: 4 (A + 4), to C: 2 (A + 2). Mark A as visited.

Iteration 2

A C (distance 2) jelű rendelő.

Distance to D: 10 (C + 8), to E: 12 (C + 10). Mark C as visited.

Iteration 3

A B (4) számú rendelés.

Distace to D: 9 (B + 5), which is less previous 10. Update D 's distance to 9. Mark B a visited.

Iteration 4

A D-t (9-es disztancé) választja.

E: 11 (D + 2). Update E 's distance to 11. Mark D a s visited.

Iteration 5

Remaining node E has a distance of 11. Mark E a s visited. The shorsist path from A to E is investigh nodes C, B, D, and E with totad distance 11.