Dijkstra
Finds the shortest distance from a start vertex to every other vertex when no edge weight is negative.
Time complexity O((V+E) log V), gograph function path.Dijkstra.
London streets
The main roads of central London from Westminster to the City, from OpenStreetMap, with the bridges over the Thames to Southwark and Waterloo. Each intersection is named after its streets, one-way streets go one way, and each edge is the minutes to drive it at the speed limit, or at 20 to 32 km/h by road type where the map has no limit.
A directed, weighted graph with 274 vertices and 598 edges.
Map data © OpenStreetMap contributors.
How many minutes is the quickest drive from Trafalgar Sq & Strand in Westminster to Tower Bridge Rd & Tooley St across the Thames?
Use it in Go
dist := path.Dijkstra(g, "Trafalgar Sq & Strand")
fmt.Println(dist["Tower Bridge Rd & Tooley St"])Example graphs
- New York streets, 295 vertices and 669 edges
- London streets, 274 vertices and 598 edges
- San Francisco streets, 248 vertices and 548 edges
- Rasht streets, 298 vertices and 568 edges
- School run, 6 vertices and 13 edges
- Delivery area, 8 vertices and 12 edges
- Downtown grid, 20 vertices and 60 edges
- One-way city, 45 vertices and 88 edges
- Metro region, 100 vertices and 346 edges
More in Shortest paths
- Bellman-Ford: Finds the shortest distance from a start vertex to every other vertex, even with negative weights, and reports a negative cycle when the start can reach one.
- Floyd-Warshall: Finds the shortest distance between every pair of vertices, even with negative weights, by letting paths stop at one more vertex in each round.