Use this calculator to find the shortest path between nodes in a graph using Dijkstra's Algorithm. Ideal for students, educators, and professionals dealing with graph theory problems.
All calculations are based on Dijkstra's Algorithm as articulated in standard graph theory textbooks. Learn more about the algorithm here. All calculations strictly follow these formulas and data.
Dijkstra's Algorithm is used to find the shortest path between nodes in a graph. It uses a priority queue to explore the nearest unvisited node and updates paths to neighboring nodes.
Assume a graph where node 1 is connected to node 2 with a weight of 10, and node 2 is connected to node 3 with a weight of 5. The shortest path from node 1 to node 3 is 1 -> 2 -> 3 with a total cost of 15.
Dijkstra's Algorithm finds the shortest path between nodes in a graph, which may represent, for example, road networks.
It's highly efficient for graphs with non-negative weights, but other algorithms like A* might be better for specific uses.
Yes, it can be used on both directed and undirected graphs.
No, it assumes all edge weights are non-negative.
Bellman-Ford can handle negative weights, but Dijkstra's is more efficient for graphs with non-negative weights.