Java Graph Library

A collection of algorithms and datatypes for working with Graphs

Build

mvn clean install

Run tests

mvn test

Overview

Searching, Spanning, Cutting

• Dijkstra's algorithm for undirected graphs
• A*-algorithm for undirected graphs
• Bellman-Ford algorithm for directed graphs
• Ford-Fulkerson algorithm, for flow networks
• Minimum spanning tree algorithm
• Cycle finding algorithm
• MinCut algorithm to find minimum cut

Geometry

Voronoi Diagrams

The library contains classes to construct Voronoi Diagrams from arbitray collections of 2D points. To create Voronoi diagrams an implementation of Fortune's algorithm is used, with time complexity ~O(n log n).

Examples

It is easy to create a voronoi diagram, for example, using JavaFX:

public class VoronoiViewer extends Application {

    static ArrayList<Node2d> nodeList;
    public static VoronoiGenerator voronoi;

    public static void main(String[] args) {


        Random r = new Random();


        nodeList = new ArrayList<Node2d>();

        for(int j = 0; j < 34; j++){
            for(int k = 0; k < 14; k++){
                nodeList.add(new Node2d(3 + j*25 + 0.000*r.nextInt(663), 4 + k * 30+ j*j*0.25 + 0*r.nextInt(470)));
            }
        }
        
        voronoi = new VoronoiGenerator(nodeList);
        voronoi.createDiagram();
        
        launch(args);
   }
  
   @Override
   public void start(Stage primaryStage) throws Exception {
        primaryStage.setTitle("Voronoi Test");


        Group root = new Group();
        Canvas canvas = new Canvas(800, 750);
        GraphicsContext gc = canvas.getGraphicsContext2D();


        gc.setStroke(Color.MAROON);

        int total = 0;
        double r = 0.5;
        double g = 0.0;
        double b = 1.0;
        for(int i = 0; i < voronoi.getNodes().size(); i ++){
            Node2d ce = voronoi.getNodes().get(i);
            HalfEdge edge= ce.halfEdge;

            HalfEdge f = edge;

            gc.setStroke(Color.color(r,g,b));
            gc.beginPath();
            while(edge != null){
                total++;
                gc.setStroke(Color.color(r,g,b));
                gc.beginPath();
                gc.moveTo(edge.twin().getTarget().getX(), edge.twin().getTarget().getY());
                gc.lineTo(edge.getTarget().getX(), edge.getTarget().getY());

                gc.stroke();
                edge = edge.next();
                if(edge == null || f == edge)
                    break;
            }

        }

        gc.setFill(Color.FIREBRICK);
        for (CircleEvent ce : voronoi.getAllCircleEvents()) {
            gc.setFill(Color.DEEPPINK);
            gc.fillOval(ce.getX()-2, ce.getY()-2, 4, 4);
            gc.setStroke(Color.BLACK);

        }
        gc.setFill(Color.RED);

        for (Node2d n : nodeList) {
            gc.fillOval(n.getX() - 5f / 2, n.getY() - 5f / 2, 5, 5);

        }

        root.getChildren().add(canvas);

        Scene scene = new Scene(root);
        scene.setFill(Color.OLDLACE);

        primaryStage.setScene(scene);
        primaryStage.show();
    } 
 }

Graph structure

• Construction of various graph types of given size.
• Chromatic number estimations
• Graph colorizable algorithm
• Chromatic polynomials for certain graph types
• Construct Line graph L(G) of graph

Others

• Genetic algorithm solution to TSP problem for a given complete graph.