C#Dijkstra邻接表实现

时间:2018-12-11 17:03:25

标签: c# algorithm graph-algorithm dijkstra

我在使用邻接表实现Dijkstra算法时遇到问题 我已经尝试了很多,但是我不知道如何实现

这是我的使用邻接表的图类

using System;
using System.Collections.Generic;
 using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace testMapRouting
{
 #region Node Class
class Node
{
    public double speed { get; set; }
    public double time { get; set; }
    public double distance { get; set; }
    public double xCord;
    public double yCord;
    public int source { get; set; }
    public int destenation { get; set; }

    public Node() { }
    public Node(int Source)
    {
        this.source = Source;    
    }
    public Node(int Source,double _xOnMap,double _yOnMap)
    {
        this.xCord = _xOnMap;
        this.yCord = _yOnMap;
        this.source = Source;
        this.speed = 5.0;
    }
    public Node(int SOURCE, int DESTENATION, double SPEED, double DISTANCE)
    {
        this.source = SOURCE;
        this.destenation = DESTENATION;
        this.speed = SPEED;
        this.distance = DISTANCE;
        this.time = this.distance / this.speed;
    }

    #region overRide
    /// <summary>
    /// Overriding the Equal Methos"same as =="
    /// to Help me implement some functions
    /// </summary>

    public override bool Equals(object obj)
    {
        var item = obj as Node;
        if (item == null)
        {
            return false;
        }
        return this.source.Equals(item.source);
    }

    public override int GetHashCode()
    {
        return this.source.GetHashCode();
    }
    #endregion
}
#endregion
#region Graph Class
class Graph<T> where T : IComparable<T>
{
    #region Instance Variables
    ///<summary>
    ///Instance Variables
    /// </summary>
    ///
    private const long EMPTY_EDGE_VALUE = 0;
    protected virtual int _edgeCount { get; set; }
    public virtual Dictionary<Node, LinkedList<Node>> _adjacencyList { get; set; }
    #endregion
    #region Constructors
    ///<summary>
    ///Constructors
    /// </summary>
    /// 

    public Graph()
    {
        _edgeCount = 0;
        _adjacencyList = new Dictionary<Node, LinkedList<Node>>();
    }
    #endregion
    #region main Functions

    /// <summary>
    /// add new edge to Graph
    /// </summary>
    /// <param name="source">source vertex</param>
    /// <param name="Destenation">Destenation vertex</param>
    /// <param name="speed"> Speed value</param>
    /// <param name="Distance"> Distance value</param>
    public void addEdge(Node source, Node Destenation, double speed, double Distance)
    {
        if (_adjacencyList.Count <= 0)
        {
            throw new InvalidOperationException("addEdge: There are no Vertices in Graph.\n");
        }
        else
        {
            if (_adjacencyList.ContainsKey(source) && _adjacencyList.ContainsKey(Destenation))
            {
                var sourceEdge = new Node(source.source, Destenation.source, speed, Distance);
                var destenationEdge = new Node(Destenation.source, source.source, speed, Distance);

                    _adjacencyList[source].AddLast(sourceEdge);
                    _adjacencyList[Destenation].AddLast(destenationEdge);

                    ++_edgeCount;
            }
            else
            {
                throw new NullReferenceException("addEdge : Source or Destenation Vetrtex Don't Exist in Graph.\n");
            }
        }

    }

    /// <summary>
    /// add a new vertex to graph
    /// </summary>
    /// <param name="value"></param>
    public void addVertex(Node value)
    {
        if (!_adjacencyList.ContainsKey(value))
        {
            LinkedList<Node> connections = new LinkedList<Node>();
            _adjacencyList.Add(value, connections);
        }
        else
        {
            throw new InvalidOperationException("addVertex : This Vertex allready exists in Graph.\n");
        }

    }


    #endregion
    #region Utility Functions
    ///<summary>
    ///Utility Functions
    /// </summary>


    ///<summary>
    ///return edges count in the Graph
    /// </summary>
    public int edgeCount()
    {
        return _edgeCount;
    }

    ///<summary>
    ///return vertices count in the Graph
    /// </summary>
    public int verticesCount()
    {
        return _adjacencyList.Count;
    }

    //utility function to return the node with minimum
    //time edge
    // A utility function to print 
    // the constructed distance array 
   public void printSolution(double[] time, int n)
    {
        Console.Write("Vertex     Distance " +
                            "from Source\n");
        for (int i = 0; i < n; i++)
            Console.Write(i + " \t\t " +
                        time[i] + "\n");
    }

问题出在此功能中,我无法正确实现,您能告诉我是什么问题

   public void dijkstra(Graph<T> myGraph,Node start,Node end)
    {
        bool[] shortestPath = new bool[_adjacencyList.Count];          
        double[] time = new double[_adjacencyList.Count];
        SortedSet<int> queue = new SortedSet<int>(); //mafrod priority queue
        int[] Parent = new int[_adjacencyList.Count];

        for (int i = 0; i < _adjacencyList.Count; i++)
        {
            time[i] = int.MaxValue;
            shortestPath[i] = false;
        }
        Parent[0] = -1;
        time[start.source] = 0;
        queue.Add(start.source);

        for(int v = 0; v < _adjacencyList.Count - 1; v++)
        {
            //int u = Minimum_NodeTime(time,shortestpath);
            int u = queue.Min();
            shortestPath[u] = true;
            Node tmp = new Node(u);
            foreach (var node in _adjacencyList[tmp])
            {
                if (!shortestPath[v] && time[u] + node.time < time[v])
                {
                    time[v] = time[u] + node.time;
                    Parent[v] = u;
                }
            }
        }

        printSolution(time, _adjacencyList.Count);

    }

    ///<summary>
    ///Returns a list of vertices
    /// </summary>
    public List<Node> Vertices()
    {
        List<Node> Vert = new List<Node>();
        foreach (var vertex in _adjacencyList)
        {
            Vert.Add(vertex.Key);
        }
        return Vert;

    }

    /// <summary>
    /// Display Graph Content
    /// </summary>
    public void cout()
    {
        if (_adjacencyList.Count <= 0)
        {
            throw new InvalidOperationException("cout: Graph is empty.\n");
        }
        else
        {
            foreach (var vertex in _adjacencyList)
            {
                if (vertex.Value.Count <= 0)
                {
                    Console.WriteLine("Vertex :" + vertex.Key.source.ToString() + "  has Connections: ");

                    Console.WriteLine("cout: This vertex is disconnected.");
                }
                else
                {
                    Console.WriteLine("##############################################");
                    Console.WriteLine("Vertex :" + vertex.Key.source.ToString() + "  has Connections: ");
                    foreach (var node in vertex.Value)
                    {
                        Console.WriteLine("--------------------------------");
                        Console.WriteLine("Source : " + node.source.ToString());
                        Console.WriteLine("Destenation : " + node.destenation.ToString());
                        Console.WriteLine("Speed : " + node.speed.ToString());
                        Console.WriteLine("Distance : " + node.distance.ToString());
                        Console.WriteLine("Time : " + node.time.ToString());
                        Console.WriteLine("--------------------------------");

                    }
                    Console.WriteLine("##############################################");
                }
            }
        }
    }

    #endregion
}
#endregion
}

我多次查看了Dijkstra的实现,但我不知道该怎么办。

0 个答案:

没有答案