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Dijkstra Shortest Path

Find shortest paths from a source in a weighted directed graph.

Edges (from to weight, one per line)
Distances

Enter edges.

Technical Description & Theory

What is Graph Algorithms Dijkstra Calculator and Why it Matters?

Dijkstra’s algorithm computes shortest paths from a source in graphs with non-negative weights, fundamental in routing and logistics.

Mathematical Formula and Theory

Maintain distance labels and repeatedly extract the unsettled vertex of smallest label, relaxing outgoing edges. Complexity O((V+E) log V) with a heap.

How to Use This Calculator - Step by Step

  • Enter edges “from to weight” and source.
  • Click Run Dijkstra.

Solved Example with Full Calculation

Source A, edges A-B 4, A-C 2, … yields distances A=0, C=2, B=4, D=9, E=11.