java邻接矩阵图的实现

时间:2017-05-14 23:20:16

标签: java graph adjacency-matrix

所以我在java中有一个图的邻接矩阵实现。我正在尝试编写一个驱动程序来正确测试它。我开始使用像toString和addEdge这样的基本方法。 这是图表实现:

import java.util.*;

/**
 * Graph represents an adjacency matrix implementation of a graph.
 *
 * @author Java Foundations
 * @version 4.0
 */
public class Graph<T> implements GraphADT<T>
{
    protected final int DEFAULT_CAPACITY = 5;
    protected int numVertices;    // number of vertices in the graph
    protected boolean[][] adjMatrix;    // adjacency matrix
    protected T[] vertices;    // values of vertices
    protected int modCount;

    /**
     * Creates an empty graph.
     */
    public Graph()
    {
        numVertices = 0;
        this.adjMatrix = new boolean[DEFAULT_CAPACITY][DEFAULT_CAPACITY];
        this.vertices = (T[])(new Object[DEFAULT_CAPACITY]);
    }

    /**
     * Returns a string representation of the adjacency matrix. 
     *
     * @return  a string representation of the adjacency matrix
     */
    public String toString()
    {
        if (numVertices == 0)
            return "Graph is empty";

        String result = new String("");

        result += "Adjacency Matrix\n";
        result += "----------------\n";
        result += "index\t";

        for (int i = 0; i < numVertices; i++) 
        {
            result += "" + i;
            if (i < 10)
                result += " ";
        }
        result += "\n\n";

        for (int i = 0; i < numVertices; i++)
        {
            result += "" + i + "\t";

            for (int j = 0; j < numVertices; j++)
            {
                if (adjMatrix[i][j])
                    result += "1 ";
                else
                    result += "0 ";
            }
            result += "\n";
        }

        result += "\n\nVertex Values";
        result += "\n-------------\n";
        result += "index\tvalue\n\n";

        for (int i = 0; i < numVertices; i++)
        {
            result += "" + i + "\t";
            result += vertices[i].toString() + "\n";
        }
        result += "\n";
        return result;
    }

    /**
     * Inserts an edge between two vertices of the graph.
     *
     * @param index1  the first index
     * @param index2  the second index
     */
    public void addEdge(int index1, int index2)
    {
        if (indexIsValid(index1) && indexIsValid(index2))
        {
            adjMatrix[index1][index2] = true;
            adjMatrix[index2][index1] = true;
            modCount++;
        }
    }

    /**
     * Removes an edge between two vertices of the graph.
     *
     * @param index1  the first index
     * @param index2  the second index
     */
    public void removeEdge(int index1, int index2)
    {
        // To be completed as a Programming Project
        if (indexIsValid(index1) && indexIsValid(index2)) {
            adjMatrix[index1][index2] = false;
            adjMatrix[index2][index1] = false;
            modCount--;
        }

    }

    /**
     * Inserts an edge between two vertices of the graph.
     *
     * @param vertex1  the first vertex
     * @param vertex2  the second vertex
     */
    public void addEdge(T vertex1, T vertex2)
    {
        addEdge(getIndex(vertex1), getIndex(vertex2));
    }

    /**
     * Removes an edge between two vertices of the graph.
     *
     * @param vertex1  the first vertex
     * @param vertex2  the second vertex
     */
    public void removeEdge(T vertex1, T vertex2)
    {
        // To be completed as a Programming Project
        removeEdge(getIndex(vertex1), getIndex(vertex2));
    }

    /**
     * Adds a vertex to the graph, expanding the capacity of the graph
     * if necessary.
     */
    public void addVertex()
    {
        // To be completed as a Programming Project
         if (numVertices == vertices.length)
             expandCapacity();

          vertices[numVertices] = null;
          for (int i = 0; i <= numVertices; i++)
          {
             adjMatrix[numVertices][i] = false;
             adjMatrix[i][numVertices] = false;
          }      
          numVertices++;
    }

    /**
     * Adds a vertex to the graph, expanding the capacity of the graph
     * if necessary.  It also associates an object with the vertex.
     *
     * @param vertex  the vertex to add to the graph
     */
    public void addVertex(T vertex)
    {        
        if ((numVertices + 1) == adjMatrix.length)
            expandCapacity();

        vertices[numVertices] = vertex;
        for (int i = 0; i < numVertices; i++)
        {
            adjMatrix[numVertices][i] = false;
            adjMatrix[i][numVertices] = false;
        }        
        numVertices++;
        modCount++;
    }

    /**
     * Removes a vertex at the given index from the graph.  Note that 
     * this may affect the index values of other vertices.
     *
     * @param index  the index at which the vertex is to be removed from
     */
    public void removeVertex(int index)
    {
        // To be completed as a Programming Project
        if (indexIsValid(index))
        {
           numVertices--;

           for (int i = index; i < numVertices; i++)
              vertices[i] = vertices[i+1];

           for (int i = index; i < numVertices; i++)
              for (int j = 0; j <= numVertices; j++)
                 adjMatrix[i][j] = adjMatrix[i+1][j];

           for (int i = index; i < numVertices; i++)
              for (int j = 0; j < numVertices; j++)
                 adjMatrix[j][i] = adjMatrix[j][i+1];
        }
    }

    /**
     * Removes a single vertex with the given value from the graph.  
     *
     * @param vertex  the vertex to be removed from the graph
     */
    public void removeVertex(T vertex)
    {
        // To be completed as a Programming Project
        for (int i = 0; i < numVertices; i++)
        {
           if (vertex.equals(vertices[i]))
           {
              removeVertex(i);
              return;
           }
        }
    }

    /**
     * Returns an iterator that performs a depth first traversal 
     * starting at the given index.
     *
     * @param startIndex the index from which to begin the traversal
     * @return an iterator that performs a depth first traversal
     */
    public Iterator<T> iteratorDFS(int startIndex)
    {
        Integer x;
        boolean found;
        StackADT<Integer> traversalStack = new LinkedStack<Integer>();
        UnorderedListADT<T> resultList = new ArrayUnorderedList<T>();
        boolean[] visited = new boolean[numVertices];

        if (!indexIsValid(startIndex))
            return resultList.iterator();

        for (int i = 0; i < numVertices; i++)
            visited[i] = false;

        traversalStack.push(new Integer(startIndex));
        resultList.addToRear(vertices[startIndex]);
        visited[startIndex] = true;

        while (!traversalStack.isEmpty())
        {
            x = traversalStack.peek();
            found = false;

            //Find a vertex adjacent to x that has not been visited
            //     and push it on the stack 
            for (int i = 0; (i < numVertices) && !found; i++)
            {
                if (adjMatrix[x.intValue()][i] && !visited[i])
                {
                    traversalStack.push(new Integer(i));
                    resultList.addToRear(vertices[i]);
                    visited[i] = true;
                    found = true;
                }
            }
            if (!found && !traversalStack.isEmpty())
                traversalStack.pop();
        }
        return new GraphIterator(resultList.iterator());
    }

    /**
     * Returns an iterator that performs a depth first search 
     * traversal starting at the given vertex.
     *
     * @param startVertex the vertex to begin the search from
     * @return an iterator that performs a depth first traversal
     */
    public Iterator<T> iteratorDFS(T startVertex)
    {        
        return iteratorDFS(getIndex(startVertex));
    }

    /**
     * Returns an iterator that performs a breadth first  
     * traversal starting at the given index.
     *
     * @param startIndex the index from which to begin the traversal
     * @return an iterator that performs a breadth first traversal
     */
    public Iterator<T> iteratorBFS(int startIndex)
    {
        Integer x;
        QueueADT<Integer> traversalQueue = new LinkedQueue<Integer>();
        UnorderedListADT<T> resultList = new ArrayUnorderedList<T>();

        if (!indexIsValid(startIndex))
            return resultList.iterator();

        boolean[] visited = new boolean[numVertices];
        for (int i = 0; i < numVertices; i++)
            visited[i] = false;

        traversalQueue.enqueue(new Integer(startIndex));
        visited[startIndex] = true;

        while (!traversalQueue.isEmpty())
        {
            x = traversalQueue.dequeue();
            resultList.addToRear(vertices[x.intValue()]);

            //Find all vertices adjacent to x that have not been visited
            //     and queue them up 

            for (int i = 0; i < numVertices; i++)
            {
                if (adjMatrix[x.intValue()][i] && !visited[i])
                {
                    traversalQueue.enqueue(new Integer(i));
                    visited[i] = true;
                }
            }
        }
        return new GraphIterator(resultList.iterator());
    }

    /**
     * Returns an iterator that performs a breadth first search 
     * traversal starting at the given vertex.
     *
     * @param startVertex the vertex to begin the search from
     * @return an iterator that performs a breadth first traversal
     */
    public Iterator<T> iteratorBFS(T startVertex)
    {        
        return iteratorBFS(getIndex(startVertex));
    }

    /**
     * Returns an iterator that contains the indices of the vertices 
     * that are in the shortest path between the two given vertices.
     *
     * @param startIndex the starting index
     * @param targetIndex the the target index
     * @return the an iterator containing the indices of the 
     *               of the vertices making the shortest path between
     *               the given indices
     */
    protected Iterator<Integer> iteratorShortestPathIndices
                                        (int startIndex, int targetIndex)
    {
        int index = startIndex;
        int[] pathLength = new int[numVertices];
        int[] predecessor = new int[numVertices];
        QueueADT<Integer> traversalQueue = new LinkedQueue<Integer>();
        UnorderedListADT<Integer> resultList = 
                                             new ArrayUnorderedList<Integer>();

        if (!indexIsValid(startIndex) || !indexIsValid(targetIndex) || 
                                                    (startIndex == targetIndex))
            return resultList.iterator();

        boolean[] visited = new boolean[numVertices];
        for (int i = 0; i < numVertices; i++)
            visited[i] = false;

        traversalQueue.enqueue(new Integer(startIndex));
        visited[startIndex] = true;
        pathLength[startIndex] = 0;
        predecessor[startIndex] = -1;

        while (!traversalQueue.isEmpty() && (index != targetIndex))
        {
            index = (traversalQueue.dequeue()).intValue();

            //Update the pathLength for each unvisited vertex adjacent 
            //     to the vertex at the current index. 
            for (int i = 0; i < numVertices; i++)
            {
                if (adjMatrix[index][i] && !visited[i])
                {
                    pathLength[i] = pathLength[index] + 1;
                    predecessor[i] = index;
                    traversalQueue.enqueue(new Integer(i));
                    visited[i] = true;
                }
            }
        }
        if (index != targetIndex)  // no path must have been found
            return resultList.iterator();

        StackADT<Integer> stack = new LinkedStack<Integer>();
        index = targetIndex;
        stack.push(new Integer(index));
        do
        {
            index = predecessor[index];
            stack.push(new Integer(index));
        } while (index != startIndex);

        while (!stack.isEmpty())
            resultList.addToRear(((Integer)stack.pop()));

        return new GraphIndexIterator(resultList.iterator());
    }

    /**
     * Returns an iterator that contains the shortest path between
     * the two vertices.
     *
     * @param startIndex the starting index
     * @param targetIndex the target index
     * @return an iterator that contains the shortest path
     *           between the given vertices
     */
    public Iterator<T> iteratorShortestPath(int startIndex, 
                                                         int targetIndex)
    {
        UnorderedListADT<T> resultList = new ArrayUnorderedList<T>();
        if (!indexIsValid(startIndex) || !indexIsValid(targetIndex))
            return resultList.iterator();

        Iterator<Integer> it = iteratorShortestPathIndices(startIndex, 
                                      targetIndex);        
        while (it.hasNext())
            resultList.addToRear(vertices[((Integer)it.next()).intValue()]);
        return new GraphIterator(resultList.iterator());
    }

    /**
     * Returns an iterator that contains the shortest path between
     * the two vertices.
     *
     * @param startVertex the starting vertex
     * @param targetVertex the target vertex
     * @return an iterator that contains the shortest path between
     *         the given vertices
     */
    public Iterator<T> iteratorShortestPath(T startVertex, T targetVertex)
    {
        return iteratorShortestPath(getIndex(startVertex), 
                                             getIndex(targetVertex));
    }

    /**
     * Returns the weight of the least weight path in the network.  
     * Returns positive infinity if no path is found.
     *
     * @param startIndex the starting index
     * @param targetIndex the target index
     * @return the integer weight of the least weight path
     *                in the network
     */
    public int shortestPathLength(int startIndex, int targetIndex)
    {
        int result = 0;
        if (!indexIsValid(startIndex) || !indexIsValid(targetIndex))
            return 0;

        int index1, index2;
        Iterator<Integer> it = iteratorShortestPathIndices(startIndex, 
                                      targetIndex);

        if (it.hasNext())
            index1 = ((Integer)it.next()).intValue();
        else
            return 0;

        while (it.hasNext())
        {
            result++;
            it.next();
        }

        return result;
    }

    /**
     * Returns the weight of the least weight path in the network.  
     * Returns positive infinity if no path is found.
     *
     * @param startVertex the starting vertex
     * @param targetVertex the target vertex
     * @return the integer weight of teh least weight path
     *            in the network
     */
    public int shortestPathLength(T startVertex, T targetVertex)
    {
        return shortestPathLength(getIndex(startVertex), getIndex(targetVertex));
    }

    /**
     * Returns a minimum spanning tree of the graph.
     *
     * @return a minimum spanning tree of the graph
     */
    public Graph getMST()
    {
        int x, y;
        int[] edge = new int[2];
        StackADT<int[]> vertexStack = new LinkedStack<int[]>();
        Graph<T> resultGraph = new Graph<T>();

        if (isEmpty() || !isConnected())
            return resultGraph;

        resultGraph.adjMatrix = new boolean[numVertices][numVertices];

        for (int i = 0; i < numVertices; i++)
            for (int j = 0; j < numVertices; j++)
                resultGraph.adjMatrix[i][j] = false;

        resultGraph.vertices = (T[])(new Object[numVertices]);
        boolean[] visited = new boolean[numVertices];

        for (int i = 0; i < numVertices; i++)
            visited[i] = false;        

        edge[0] = 0;
        resultGraph.vertices[0] = this.vertices[0];
        resultGraph.numVertices++;
        visited[0] = true;

        // Add all edges that are adjacent to vertex 0 to the stack. 
        for (int i = 0; i < numVertices; i++)
        {
            if (!visited[i] && this.adjMatrix[0][i])
            {
                edge[1] = i;
                vertexStack.push(edge.clone());
                visited[i] = true;
            }
        }

        while ((resultGraph.size() < this.size()) && !vertexStack.isEmpty())
        {
            // Pop an edge off the stack and add it to the resultGraph. 
            edge = vertexStack.pop();
            x = edge[0];
            y = edge[1];
            resultGraph.vertices[y] = this.vertices[y];
            resultGraph.numVertices++;
            resultGraph.adjMatrix[x][y] = true;
            resultGraph.adjMatrix[y][x] = true;
            visited[y] = true;

            // Add all unvisited edges that are adjacent to vertex y
            // to the stack. 
            for (int i = 0; i < numVertices; i++)
            {
                if (!visited[i] && this.adjMatrix[i][y])
                {
                    edge[0] = y;
                    edge[1] = i;
                    vertexStack.push(edge.clone());
                    visited[i] = true;
                }
            }
        }

        return resultGraph;
    }

    /**
     * Creates new arrays to store the contents of the graph with
     * twice the capacity.
     */
    protected void expandCapacity()
    {
        T[] largerVertices = (T[])(new Object[vertices.length*2]);
        boolean[][] largerAdjMatrix = 
                new boolean[vertices.length*2][vertices.length*2];

        for (int i = 0; i < numVertices; i++)
        {
            for (int j = 0; j < numVertices; j++)
            {
                largerAdjMatrix[i][j] = adjMatrix[i][j];
            }
            largerVertices[i] = vertices[i];
        }

        vertices = largerVertices;
        adjMatrix = largerAdjMatrix;
    }

    /**
     * Returns the number of vertices in the graph.
     *
     * @return the integer number of vertices in the graph
     */
    public int size()
    {
        // To be completed as a Programming Project
        return numVertices;
    }

    /**
     * Returns true if the graph is empty and false otherwise. 
     *
     * @return true if the graph is empty
     */
    public boolean isEmpty()
    {
        // To be completed as a Programming Project
        return (numVertices == 0);
    }

    /**
     * Returns true if the graph is connected and false otherwise. 
     *
     * @return true if the graph is connected
     */
    public boolean isConnected()
    {
        // To be completed as a Programming Project
        if (isEmpty())
            return false;

         Iterator<T> it = iteratorBFS(0);
         int count = 0;

         while (it.hasNext())
         {
            it.next();
            count++;
         }
         return (count == numVertices);
    }

    /**
     * Returns the index value of the first occurrence of the vertex.
     * Returns -1 if the key is not found.
     *
     * @param vertex the vertex whose index value is being sought
     * @return the index value of the given vertex
     */
    public int getIndex(T vertex)
    {
        // To be completed as a Programming Project
        for (int i = 0; i < numVertices; i++)
            if (vertices[i].equals(vertex))
               return i;
         return -1;
    }

    /**
     * Returns true if the given index is valid. 
     *
     * @param index the index whose validity is being queried
     * @return true if the given index is valid
     */
    protected boolean indexIsValid(int index)
    {
        // To be completed as a Programming Project
        return ((index < numVertices) && (index >= 0));
    }

    /**
     * Returns a copy of the vertices array.
     *
     * @return a copy of the vertices array
     */
    public Object[] getVertices()
    {
        // To be completed as a Programming Project
        Object[] vertices = new Object[numVertices];
        Object vertex;

        for (int i = 0; i < numVertices; i++)
        {
           vertex = this.vertices[i];
           vertices[i] = vertex;
        }
        return vertices;
    }

    /**
     * Inner class to represent an iterator over the elements of this graph
     */
    protected class GraphIterator implements Iterator<T>
    {
        private int expectedModCount;
        private Iterator<T> iter;

        /**
         * Sets up this iterator using the specified iterator.
         *
         * @param iter the list iterator created by a graph traversal
         */
        public GraphIterator(Iterator<T> iter)
        {
            this.iter = iter;
            expectedModCount = modCount;
        }

        /**
         * Returns true if this iterator has at least one more element
         * to deliver in the iteration.
         *
         * @return  true if this iterator has at least one more element to deliver
         *          in the iteration
         * @throws  ConcurrentModificationException if the collection has changed
         *          while the iterator is in use
         */
        public boolean hasNext() throws ConcurrentModificationException
        {
            if (!(modCount == expectedModCount))
                throw new ConcurrentModificationException();

            return (iter.hasNext());
        }

        /**
         * Returns the next element in the iteration. If there are no
         * more elements in this iteration, a NoSuchElementException is
         * thrown.
         *
         * @return the next element in the iteration
         * @throws NoSuchElementException if the iterator is empty
         */
        public T next() throws NoSuchElementException
        {
            if (hasNext())
                return (iter.next());
            else 
                throw new NoSuchElementException();
        }

        /**
         * The remove operation is not supported.
         * 
         * @throws UnsupportedOperationException if the remove operation is called
         */
        public void remove()
        {
            throw new UnsupportedOperationException();
        }
    }

    /**
     * Inner class to represent an iterator over the indexes of this graph
     */
    protected class GraphIndexIterator implements Iterator<Integer>
    {
        private int expectedModCount;
        private Iterator<Integer> iter;

        /**
         * Sets up this iterator using the specified iterator.
         *
         * @param iter the list iterator created by a graph traversal
         */
        public GraphIndexIterator(Iterator<Integer> iter)
        {
            this.iter = iter;
            expectedModCount = modCount;
        }

        /**
         * Returns true if this iterator has at least one more element
         * to deliver in the iteration.
         *
         * @return  true if this iterator has at least one more element to deliver
         *          in the iteration
         * @throws  ConcurrentModificationException if the collection has changed
         *          while the iterator is in use
         */
        public boolean hasNext() throws ConcurrentModificationException
        {
            if (!(modCount == expectedModCount))
                throw new ConcurrentModificationException();

            return (iter.hasNext());
        }

        /**
         * Returns the next element in the iteration. If there are no
         * more elements in this iteration, a NoSuchElementException is
         * thrown.
         *
         * @return the next element in the iteration
         * @throws NoSuchElementException if the iterator is empty
         */
        public Integer next() throws NoSuchElementException
        {
            if (hasNext())
                return (iter.next());
            else 
                throw new NoSuchElementException();
        }

        /**
         * The remove operation is not supported.
         * 
         * @throws UnsupportedOperationException if the remove operation is called
         */
        public void remove()
        {
            throw new UnsupportedOperationException();
        }
    }
}

这是我到目前为止的驱动程序:

//tests the adjacency matrix implementation of a graph
public class GraphTest {

    public static void main(String[] args) {

        Graph first = new Graph();

        first.toString();       

    }

}

当我运行它时,它应该输出“Graph is empty”但输出完全空白。为什么会这样?

1 个答案:

答案 0 :(得分:1)

您没有向控制台输出任何内容。尝试:

public class GraphTest {
    public static void main(String[] args) {
        Graph first = new Graph();
        System.out.println( first.toString() );
    }
}