programming-examples/java/Data_Structures/Java Program to Implement Graph Structured Stack.java
2019-11-15 12:59:38 +01:00

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/*This Java program is to implement graph structured stack. In computer science, a graph-structured stack is a directed acyclic graph where each directed path represents a stack. The graph-structured stack is an essential part of Tomitas algorithm, where it replaces the usual stack of a pushdown automaton. This allows the algorithm to encode the nondeterministic choices in parsing an ambiguous grammar, sometimes with greater efficiency.*/
import java.util.ArrayList;
import java.util.Iterator;
import java.util.Scanner;
import java.util.Stack;
public class GraphStructuredStack
{
private ArrayList<Stack<Integer>> stackList;
private Stack<Integer> stack;
private int numberOfNodes;
private int adjacencyMatrix[][];
private int[] parent;
public GraphStructuredStack()
{
stackList = new ArrayList<Stack<Integer>>();
stack = new Stack<Integer>();
}
public void graphStructuredStack(int adjacencyMatrix[][],int source,int bottomNode)
{
boolean stackFound = false;
this.numberOfNodes = adjacencyMatrix[source].length - 1;
this.adjacencyMatrix = new int[numberOfNodes + 1][numberOfNodes +1];
this.parent = new int[numberOfNodes+ 1];
for (int sourceVertex = 1; sourceVertex <= numberOfNodes; sourceVertex++)
{
for (int destinationVertex = 1; destinationVertex <= numberOfNodes; destinationVertex++)
{
this.adjacencyMatrix[sourceVertex][destinationVertex]
= adjacencyMatrix[sourceVertex][destinationVertex];
}
}
stack.push(source);
int element, destination;
while (!stack.isEmpty())
{
element = stack.peek();
destination = 1;
while (destination <= numberOfNodes)
{
if (this.adjacencyMatrix[element][destination] == 1)
{
stack.push(destination);
parent[destination] = element;
this.adjacencyMatrix[element][destination] = 0;
if (destination == bottomNode)
{
stackFound = true;
break;
}
element = destination;
destination = 1;
continue;
}
destination++;
}
if (stackFound)
{
Stack<Integer> istack = new Stack<Integer>();
for (int node = bottomNode; node != source; node = parent[node])
{
istack.push(node);
}
istack.push(source);
stackList.add(istack);
stackFound = false;
}
stack.pop();
}
Iterator<Stack<Integer>> iterator = stackList.iterator();
while (iterator.hasNext())
{
Stack<Integer> stack = iterator.next();
Iterator<Integer> stckitr = stack.iterator();
while (stckitr.hasNext())
{
System.out.print(stckitr.next() +"\t");
}
System.out.println();
}
}
public static void main(String...arg)
{
int adjacencyMatrix[][];
int numberofnodes;
int source, bottom;
Scanner scanner = new Scanner(System.in);
System.out.println("enter the number of nodes");
numberofnodes = scanner.nextInt();
adjacencyMatrix = new int[numberofnodes + 1] [numberofnodes + 1];
System.out.println("enter the graph matrix");
for (int sourceVertex = 1; sourceVertex <= numberofnodes; sourceVertex++)
{
for (int destinationVertex = 1; destinationVertex <= numberofnodes; destinationVertex++)
{
adjacencyMatrix[sourceVertex][destinationVertex] = scanner.nextInt();
}
}
System.out.println("enter the source node");
source = scanner.nextInt();
System.out.println("enter the bottom node");
bottom = scanner.nextInt();
System.out.println("the stacks are");
GraphStructuredStack graphStructuredStack = new GraphStructuredStack();
graphStructuredStack.graphStructuredStack(adjacencyMatrix, source, bottom);
scanner.close();
}
}
/*
enter the number of nodes
6
enter the graph matrix
0 0 0 0 0 0
1 0 0 0 0 0
1 0 0 0 0 0
0 1 1 0 0 0
0 0 0 1 0 0
0 0 0 0 1 0
enter the source node
6
enter the bottom node
1
the stacks are
1 2 4 5 6
1 3 4 5 6