Dijkstra.NET

Dijkstra algorithm which use priority queue thus complexity is equal O(ElogV) where E is number of edges and V is number of vertices. Used data structures are based on interfaces so you can implement your own or reused present. Simply example below. More information about algorithm you can find on Wikipedia.

Get Started

Install the latest version from NuGet

  Install-Package Dijkstra.NET

Simple example

using Dijkstra.NET.Graph;
using Dijkstra.NET.ShortestPath;

var graph = new Graph<int, string>();

graph.AddNode(1);
graph.AddNode(2);

graph.Connect(1, 2, 5, "some custom information in edge"); //First node has key equal 1

ShortestPathResult result = graph.Dijkstra(1, 2); //result contains the shortest path

var path = result.GetPath();

or

using Dijkstra.NET.Graph;
using Dijkstra.NET.ShortestPath;

var graph = new Graph<int, string>() + 1 + 2;

bool connected = graph >> 1 >> 2 >> 5 ^ "custome edge information"; 

ShortestPathResult result = graph.Dijkstra(1, 2); //result contains the shortest path

var path = result.GetPath();

Benchmark

For Graph where number of nodes is 1 000 000 and connections between them 1 000 000. The length of path is minimum 10.

BenchmarkDotNet=v0.10.10, OS=Windows 10.0.17134
Processor=Intel Core i7-4700HQ CPU 2.40GHz (Haswell), ProcessorCount=8
Frequency=2338342 Hz, Resolution=427.6534 ns, Timer=TSC
  [Host]     : .NET Framework 4.6.1 (CLR 4.0.30319.42000), 32bit LegacyJIT-v4.7.3260.0
  Job-XQYAYC : .NET Framework 4.6.1 (CLR 4.0.30319.42000), 32bit LegacyJIT-v4.7.3260.0

LaunchCount=1  RunStrategy=Monitoring  TargetCount=3  
WarmupCount=2  

Method	Mean	Error	StdDev	Scaled	ScaledSD	Gen 0	Gen 1	Allocated
Dijkstra	7.515 ms	3.845 ms	0.2173 ms	1.00	0.00	-	-	48 KB
PageRank	1,139.983 ms	762.417 ms	43.0780 ms	151.77	5.86	40000	40000	272365.8 KB

License

Dijkstra.NET is licensed under the MIT license. See LICENSE file for full license information.