让Dijkstra计算最宽的路径

Question

我想修改dijkstra算法来计算最宽的路径。我知道我必须将总和更改为并将 min更改为最大，但我在代码中进行更改时遇到了困难。

请查看下面的代码，并建议在何处以及如何进行更改。谢谢。

public class DijkstraAlgorithm {

    private final List<Vertex> nodes;
    private final List<Edge> edges;
    private Set<Vertex> settledNodes;
    private Set<Vertex> unSettledNodes;
    private Map<Vertex, Vertex> predecessors;
    private Map<Vertex, Integer> distance;

    public DijkstraAlgorithm(Graph graph) {
        // create a copy of the array so that we can operate on this array
        this.nodes = new ArrayList<Vertex>(graph.getVertexes());
        this.edges = new ArrayList<Edge>(graph.getEdges());
    }

    public void execute(Vertex source) {
        settledNodes = new HashSet<Vertex>();
        unSettledNodes = new HashSet<Vertex>();
        distance = new HashMap<Vertex, Integer>();
        predecessors = new HashMap<Vertex, Vertex>();
        distance.put(source, 0);
        unSettledNodes.add(source);
        while (unSettledNodes.size() > 0) {
            Vertex node = getMinimum(unSettledNodes);
            settledNodes.add(node);
            unSettledNodes.remove(node);
            findMinimalDistances(node);
        }
    }

    private void findMinimalDistances(Vertex node) {
        List<Vertex> adjacentNodes = getNeighbors(node);
        for (Vertex target : adjacentNodes) {
            // looks at the connected nodes in the graph
            if (getShortestDistance(target) > getShortestDistance(node) + getDistance(node, target)) // looks at the source (node), then at the adjacent nodes and then the target one by one
            {
                distance.put(target, getShortestDistance(node) + getDistance(node, target));
                predecessors.put(target, node);
                unSettledNodes.add(target);
            }
        }
    }

    private int getDistance(Vertex node, Vertex target) {
        for (Edge edge : edges) {
            if (edge.getSource().equals(node) && edge.getDestination().equals(target)) {
                return edge.getWeight();
            }
        }
        throw new RuntimeException("Should not happen");
    }

    private List<Vertex> getNeighbors(Vertex node) {
        List<Vertex> neighbors = new ArrayList<Vertex>();
        for (Edge edge : edges) {
            if (edge.getSource().equals(node) && !isSettled(edge.getDestination())) {
                neighbors.add(edge.getDestination());
            }
        }
        return neighbors;
    }

    private Vertex getMinimum(Set<Vertex> vertexes) {
        Vertex minimum = null;
        for (Vertex vertex : vertexes) {
            if (minimum == null) {
                minimum = vertex;
            } else {
                if (getShortestDistance(vertex) < getShortestDistance(minimum)) {
                    minimum = vertex;
                }
            }
        }
        return minimum;
    }

    private boolean isSettled(Vertex vertex) {
        return settledNodes.contains(vertex);
    }

    private int getShortestDistance(Vertex destination) {
        Integer d = distance.get(destination);
        if (d == null) {
            return Integer.MAX_VALUE;
        } else {
            return d;
        }
    }

    /*
     * This method returns the path from the source to the selected target and
     * NULL if no path exists
     */
    public LinkedList<Vertex> getPath(Vertex target) {
        LinkedList<Vertex> path = new LinkedList<Vertex>();
        Vertex step = target;
        // check if a path exists
        if (predecessors.get(step) == null) {
            return null;
        }
        path.add(step);
        while (predecessors.get(step) != null) {
            step = predecessors.get(step);
            path.add(step);
        }
        // Put it into the correct order
        Collections.reverse(path);
        return path;
    }

}

据我所知，我认为我必须对findMinimalDistances和getMinimum进行更改。我理解Dijkstra和Widest路径如何在纸上工作，但在代码方面，我遇到了一些困难。