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(Create a file for a graph) Modify Listing 28.1, TestGraph.java, to create a file representing graph1

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(Create a file for a graph) Modify Listing 28.1, TestGraph.java, to create a file representing graph1. The file format is described in Programming Exercise 28.1. Create the file from the array defined in lines 8–21 in Listing 28.1. The number of vertices for the graph is 12, which will be stored in the first line of the file. The contents of the file should be as follows:

12
0 1 3 5
1 0 2 3
2 1 3 4 10
3 0 1 2 4 5
4 2 3 5 7 8 10
5 0 3 4 6 7
6 5 7
7 4 5 6 8
8 4 7 9 10 11
9 8 11
10 2 4 8 11
11 8 9 10

 

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import java.util.*;

public abstract class AbstractGraph<V> implements Graph<V> {
	protected List<V> vertices = new ArrayList<>(); // Store vertices
	protected List<List<Edge>> neighbors = new ArrayList<>(); // Adjacendy lists

	/** Construct an empty graph */
	protected AbstractGraph(){
	}

	/** Construct a graph from vertices and edges stored in arrays */
	protected AbstractGraph(V[] vertices, int[][] edges) {
		for (int i = 0; i < vertices.length; i++)
			addVertex(vertices[i]);

		createAjacencyLists(edges, vertices.length);
	}

	/** Construct a graph from vertices and edges stored in List */
	protected AbstractGraph(List<V> vertices, List<Edge> edges) {
		for (int i = 0; i < vertices.size(); i++)
			addVertex(vertices.get(i));

		createAjacencyLists(edges, vertices.size());
	}

	/** Construct a graph for integer vertices 0, 1, 2 and edge list */
	protected AbstractGraph(List<Edge> edges, int numberOfVertices) {
		for (int i = 0; i < numberOfVertices; i++)
			addVertex((V)(new Integer(i))); // vertices is {0, 1, ...}

		createAjacencyLists(edges, numberOfVertices);
	}

	/** Construct a graph from integer vertices 0, 1, and edge array */
	protected AbstractGraph(int[][] edges, int numberOfVertices) {
		for (int i = 0; i < numberOfVertices; i++)
			addVertex((V)(new Integer(i))); // vertices is {0, 1, ...}

		createAjacencyLists(edges, numberOfVertices);
	}

	/** Create adjacency lists for each vertex */
	private void createAjacencyLists(int[][] edges, int numberOfVertices) {
		for (int i = 0; i < edges.length; i++) {
			addEdge(edges[i][0], edges[i][1]);
		}
	}

	/** Create ajacency lists for each vertex */
	private void createAjacencyLists(List<Edge> edges, int numberOfVertices) {
		for (Edge edge : edges) {
			addEdge(edge.u, edge.v);
		}
	}

	@Override /** Return the number of vertices in the graph */
	public int getSize() {
		return vertices.size();
	}

	@Override /** Return the vertices in the graph */
	public List<V> getVertices() {
		return vertices;
	}

	@Override /** Return the object for the specified vertex */
	public V getVertex(int index) {
		return vertices.get(index);
	}

	@Override /** Return the index for the specified vertex object */
	public int getIndex(V v) {
		return vertices.indexOf(v);
	}

	@Override /** Return the neighbors of the specified vertex */
	public List<Integer> getNeighbors(int vertex) {
		List<Integer> result = new ArrayList<>();
		for (Edge e : neighbors.get(vertex)) {
			result.add(e.v);
		}

		return result;
	}

	@Override /** REturn the degree for a specified vertex */
	public int getDegree(int v) {
		return neighbors.get(v).size();
	}

	@Override /** Print the edges */
	public void printEdges() {
		for (int u = 0; u < neighbors.size(); u++) {
			System.out.print(getVertex(u) + " (" + u + "): ");
			for (Edge e : neighbors.get(u)) {
				System.out.print("(" + getVertex(e.u) + ", " +
					getVertex(e.v) + ") ");
			}
			System.out.println();
		}
	}

	@Override /** clear the graph */
	public void clear() {
		vertices.clear();
		neighbors.clear();
	}

	@Override /** Add a vertex to the graph */
	public boolean addVertex(V vertex) {
		if (!vertices.contains(vertex)){
			vertices.add(vertex);
			neighbors.add(new ArrayList<Edge>());
			return true;
		}
		else {
			return false;
		}
	}

	/** Add an edge to the graph */
	protected boolean addEdge(Edge e) {
		if (e.u < 0 || e.u > getSize() - 1)
			throw new IllegalArgumentException("No such index: " + e.u);

		if (e.u < 0 || e.v > getSize() - 1)
			throw new IllegalArgumentException("No such index: " + e.u);

		if (!neighbors.get(e.u).contains(e)) {
			neighbors.get(e.u).add(e);
			return true;
		}
		else {
			return false;
		}
	}

	@Override /** Add an edge to the graph */
	public boolean addEdge(int u, int v) {
		return addEdge(new Edge(u, v));
	}

	/** Edge inner class inside the AbstractGraph class */
	public static class Edge {
		public int u; // Starting vertex of the edge
		public int v;

		/** Construct an edge for (u, v) */
		public Edge(int u, int v) {
			this.u = u;
			this.v = v;
		}

		public boolean equals(Object o) {
			return u == ((Edge)o).u && v == ((Edge)o).v;
		}
	}

	@Override /** Obtain a DFS tree starting from vertex v */
	public Tree dfs(int v) {
		List<Integer> searchOrder = new ArrayList<>();
		int[] parent = new int[vertices.size()];
		for (int i = 0; i < parent.length; i++)
			parent[i] = -1; // Initialize parent[i] to -1

		// Mark visited vertices
		boolean[] isVisited = new boolean[vertices.size()];

		// Recursively search
		dfs(v, parent, searchOrder, isVisited);

		// Return a search tree
		return new Tree(v, parent, searchOrder);
	}

	/** Recursive method for DFS search */
	private void dfs(int u, int[] parent, 
			List<Integer> searchOrder,boolean[] isVisited) {
		// Store the visited vertex
		searchOrder.add(u);
		isVisited[u] = true; // Vertex v visited

		for (Edge e : neighbors.get(u)) {
			if (!isVisited[e.v]) {
				parent[e.v] = u; // The parent of vertex e.v is u
				dfs(e.v, parent, searchOrder, isVisited); // Recursive search
			}
		}
	}

	@Override /** Starting bfs search from vertex v */
	public Tree bfs(int v) {
		List<Integer> searchOrder = new ArrayList<>();
		int[] parent = new int[vertices.size()];
		for (int i = 0; i < parent.length; i++) {
			parent[i] = -1; // Initialize parent[i] to -q
		}

		java.util.LinkedList<Integer> queue =
			new java.util.LinkedList<>(); // List used as a queue
		boolean[] isVisited = new boolean[vertices.size()];
		queue.offer(v); // Enqueue v
		isVisited[v] = true; // Mark it visited

		while (!queue.isEmpty()) {
			int u = queue.poll(); // Dequeue to u
			searchOrder.add(u); // u searched
			for (Edge e : neighbors.get(u)) {
				if (!isVisited[e.u]) {
					queue.offer(e.v); // Enqueue w
					parent[e.v] = u; // The parent of w is u
					isVisited[e.v] = true; // mark it visited
				}
			}
		}

		return new Tree(v, parent, searchOrder);
	}

	/** Tree inner class inside the AbstractGraph class */
	public class Tree {
		private int root; // The root of the Tree
		private int[] parent; // Store the parent of each vertex
		private List<Integer> searchOrder; // Store the search order

		/** Construct a tree with root, parent, and searchOrder */
		public Tree(int root, int[] parent, List<Integer> searchOrder) {
			this.root = root;
			this.parent = parent;
			this.searchOrder = searchOrder;
		}

		/** Return the root of the tree */
		public int getRoot() {
			return root;
		}

		/** Return the parent of vertex v */
		public int getParent(int v) {
			return parent[v];
		}

		/** Return an array representing search order */
		public List<Integer> getSearchOrder() {
			return searchOrder;
		}

		/** Return number of vertices found */
		public int getNumberOfVerticesFound() {
			return searchOrder.size();
		}

		/** Return the path of vertices from a vertex to the root */
		public List<V> getPath(int index) {
			ArrayList<V> path = new ArrayList<>();

			do {
				path.add(vertices.get(index));
				index = parent[index];
			}
			while (index != -1);

			return path;
		}

		/** Print a path from the root to vertex v */
		public void printPath(int index) {
			List<V> path = getPath(index);
			System.out.print("A path from " + vertices.get(root) + " to " + 
				vertices.get(index) + ": ");
			for (int i = path.size() -1; i >= 0; i--)
				System.out.print(path.get(i) + " ");
		}

		/** Print the whole tree */
		public void printTree() {
			System.out.println("Root is: " + vertices.get(root));
			System.out.print("Edges: ");
			for (int i = 0; i < parent.length; i++) {
				if (parent[i] != -1) {
					// Display an edge
					System.out.print("(" + vertices.get(parent[i]) + ", " + 
						vertices.get(i) + ") ");
				}
			}
			System.out.println();
		}
	}
}

Exercise_28_02.java 

/*********************************************************************************
* (Create a file for a graph) Modify Listing 28.1, TestGraph.java, to create a   *
* file representing graph1. The file format is described in Programming Exercise *
* 28.1. Create the file from the array defined in lines 8–21 in Listing 28.1.    *
* The number of vertices for the graph is 12, which will be stored in the first  *
* line of the file. The contents of the file should be as follows:               *
*********************************************************************************/

public class Exercise_28_02 {
	public static void main(String[] args) throws Exception {
		final int NUMBER_OF_VERTICES = 12;

		// Edge array from Listing 28.1 lines 8-21
		int[][] edges = {
			{0, 1}, {0, 3}, {0, 5},
			{1, 0}, {1, 2}, {1, 3},
			{2, 1}, {2, 3}, {2, 4}, {2, 10},
			{3, 0}, {3, 1}, {3, 2}, {3, 4}, {3, 5},
			{4, 2}, {4, 3}, {4, 5}, {4, 7}, {4, 8}, {4, 10},
			{5, 0}, {5, 3}, {5, 4}, {5, 6}, {5, 7},
			{6, 5}, {6, 7},
			{7, 4}, {7, 5}, {7, 6}, {7, 8},
			{8, 4}, {8, 7}, {8, 9}, {8, 10}, {8, 11},
			{9, 8}, {9, 11},
			{10, 2}, {10, 4}, {10, 8}, {10, 11},
			{11, 8}, {11, 9}, {11, 10}
		};

		// Create a graph
		Graph<Integer> graph = new UnweightedGraph<>(edges, NUMBER_OF_VERTICES);
		java.io.File file = new java.io.File("GraphFile.txt");
		if (file.exists()) {
			System.out.print("File already exists");
			System.exit(0);
		}

		try (
			// Create writer
			java.io.PrintWriter output = new java.io.PrintWriter(file);
		) {
			// Write graph to file
			output.println(graph.getSize());
			for (int i = 0; i < graph.getSize(); i++) {
				output.print(graph.getVertex(i) + " ");
				for (Integer e : graph.getNeighbors(i)) {
					output.print(e + " ");
				}
				output.println();
			}
		}	
	}
}

Graph.java

public interface Graph<V> {
	/** Returns the number of vertices in the graph */
	public int getSize();

	/** Return the vertices in the graph */
	public java.util.List<V> getVertices();

	/** Return the object for the specified vertex index */
	public V getVertex(int index);

	/** Return the index for the specified vertex object */
	public int getIndex(V v);

	/** Return the neighbors of vertex with the specified index */
	public java.util.List<Integer> getNeighbors(int index);

	/** Return degree for a specified vertex */
	public int getDegree(int v);

	/** Prints the edges */
	public void printEdges();

	/** Clears the graph */
	public void clear();

	/** Add a vertex to the graph */
	public boolean addVertex(V vertex);

	/** Add an edge to the graph */
	public boolean addEdge(int u, int v);

	/** Obtains a depth-frist search tree starting from v */
	public AbstractGraph<V>.Tree dfs(int v);

	/** Obtains a breath-first search tree starting from v */
	public AbstractGraph<V>.Tree bfs(int v);
}

UnweightedGraph.java

import java.util.*;

public class UnweightedGraph<V> extends AbstractGraph {
	/** Construct an empty graph */
	public UnweightedGraph() {
	}

	/** Construct a graph from vertices and edges stored in arrays */
	public UnweightedGraph(V[] vertices, int[][] edges) {
		super(vertices, edges);
	}

	/** Construct a graph from vertices and edges stored in list */
	public UnweightedGraph(List<V> vertices, List<Edge> edges) {
		super(vertices, edges);
	}

	/** Construct a graph for integer vertices 0, 1, 2 and edge list */
	public UnweightedGraph(List<Edge> edges, int numberOfVertices) {
		super(edges, numberOfVertices);
	}

	/** Construct a graph from integer vertices 0, 1, and edge array */
	public UnweightedGraph(int[][] edges, int numberOfVertices) {
		super(edges, numberOfVertices);
	}
}

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