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Floyd Warshall Algorithm

Here given code implementation process.

//C Program
//Floyd Warshall Algorithm
#include <stdio.h>
#include <stdlib.h>
#include <limits.h> //for INT_MAX


struct AjlistNode
{
  int id;//Vertices id
  int weight;
  struct AjlistNode*next;
};

struct Graph
{
  int data; //node key value
  struct AjlistNode*next;
};


int size; //number of nodes

//set node key value
void set_data(struct Graph*node)
{
  if(node!=NULL && size>0)
  {
    int index=0;
    for(index;index<size;index++)
    {
      //set vertic node data
      node[index].data=index;//set node key
      //Initial no AjlistNode
      //set NULL Value
      node[index].next=NULL;
    }
  }
  else
  {
    printf("Vertic Node is Empty");
  }
}
void connect_edge(struct Graph*node, int V ,int E,int weight)
{

  // create Adjacency node
  struct AjlistNode *newEdge=(struct AjlistNode*)malloc(
    sizeof(struct AjlistNode)
    );
  if(newEdge!=NULL)
  {

    newEdge->next=NULL;
    newEdge->id=E;
    newEdge->weight=weight;

    struct AjlistNode *temp=node[V].next;

    if(temp==NULL)
    {
      node[V].next=newEdge;
    }else
    {
        //Add node at last
      while(temp->next!=NULL)
      {
        temp=temp->next;
      }      
      temp->next=newEdge;          
    }
  }else
  {
    printf("\n Memory overflow");

  }
}
  //Add Edge from Two given Nodes
void add_edge(struct Graph*node, int V ,int E,int weight)
{
  //add edge form V to E
  //V and E is Node location
  if(V<size && E <size)
  {

    connect_edge(node,V,E,weight);

  }else
  {
    //not valid Vertices
    printf("Invalid Node Vertices %d  %d", V,E);
  }
}
//Display Adjacency list of vertex
void print_graph(struct Graph*node)

{
  if(node!=NULL)

  {
    struct AjlistNode *temp=NULL;
    for(int index=0;index<size;index++)
    {
      printf("\n Adjacency list of vertex %d  :",index);
      temp=node[index].next;
      while(temp!=NULL)
      {
        //temp->id is graph node vertices
        //in this case temp->id is same as 
        //node[temp->id].data

        printf("  %d",node[temp->id].data);
        temp=temp->next;
      }
    }
  }else
  {
    printf("Empty Graph");
  }
}
//perform floyd warshall algorithm in Adjacency list graph
void floyd_warshall(struct Graph*root)
{

  if(root!=NULL)
  {
    int result[size][size];

    struct AjlistNode *temp=NULL;

    for (int i = 0; i < size; ++i)
    {
      for (int j = 0; j < size; ++j)
      {
        if(i==j)
        {
          result[i][j]=0;
        }
        else
        {
          //Infinity
          result[i][j]=INT_MAX;

          temp=root[i].next;
          //Get the edge information in edge list
          //When edge is exist i to j node
          while(temp!=NULL)
          {
            if(temp->id==j && result[i][j] > temp->weight  )
            {
              result[i][j]=temp->weight;
              
              //when not using more than 2 edge between in two nodes
              //break;
            }
            temp=temp->next;
          }

        }

      }
    }
    printf("\n");
    for (int k = 0; k < size; ++k)
    {
      for (int i = 0; i < size; ++i)
      {

        for (int j = 0; j < size; ++j)
        {
          if(result[i][k] < INT_MAX && 
            result[k][j] < INT_MAX  && 
            (result[i][k] + result[k][j]) < INT_MAX  &&
            result[i][j] > (result[i][k] + result[k][j]) )
          {
            result[i][j] = (result[i][k] + result[k][j]);
          }
          if(result[i][j]<0)
          {
            printf("\nNegative Cycle exist\n");
            return;
          }
        }
        

      }
    }

    for (int i = 0; i < size; ++i)
    {
      for (int j = 0; j < size; ++j)
      {
        if(INT_MAX==result[i][j])
        {
          printf(" INF " );
        }
        else
        {
          printf("  %d  ",result[i][j] );
        }

      }
      printf("\n");
    }
  }
  else
  {
    printf("Empty Graph");
  }
}


int main()

{

  size=5;
  struct Graph*node=NULL;

  node=(struct Graph*)malloc(sizeof(struct Graph)*size);

  if(node==NULL)
  {
    printf("\n Memory overflow");
  }else
  {
        //First set node keys
    set_data(node); 


    //Connected two node with Edges
    add_edge(node,0, 1, 5); 
    add_edge(node,0, 2, 8); 
    add_edge(node,0, 4, 3); 
    add_edge(node,1, 4, 2); 
    add_edge(node,2, 1, 11); 

    // When have 2 paths in same node with different weight
    // In real world scenario
    add_edge(node,3, 0, 4); 
    add_edge(node,3, 0, 5); 
    
    
    add_edge(node,3, 2, 7); 
    add_edge(node,3, 4, 9); 
    add_edge(node,4, 2, 5); 

    print_graph(node);

    floyd_warshall(node);
  }  
  return 0;
}

Output

 Adjacency list of vertex 0  :  1  2  4
 Adjacency list of vertex 1  :  4
 Adjacency list of vertex 2  :  1
 Adjacency list of vertex 3  :  0  0  2  4
 Adjacency list of vertex 4  :  2
  0    5    8   INF   3
 INF   0    7   INF   2
 INF   11    0   INF   13
  4    9    7    0    7
 INF   16    5   INF   0
// C++ Program
// Floyd Warshall Algorithm
#include<iostream>
#include <limits.h> //for INT_MAX
using namespace std;
class AjlistNode {
	public:

	//Vertices node key
	int id;
	int weight;
	AjlistNode *next;
	AjlistNode(int id, int weight) {
		//Set value of node key
		this->id = id;
		this->weight = weight;
		this->next = NULL;
	}
};
class Vertices {
	public:
	int data;
	AjlistNode *next;
    Vertices()
    {
      this->data = 0;
      this->next = NULL;
    }
	
	Vertices(int data) {
		this->data = data;
		this->next = NULL;
	}
};
class MyGraph {
	public:

	//Number of Vertices
	int size;
	Vertices *node;
	MyGraph(int size) {
		//set value
		this->size = size;
		this->node = new Vertices[size];
		this->set_data();
	}
	//Set initial node value
	void set_data() {
		if (this->node == NULL) {
			cout << "\nEmpty Graph";
		} else {
			for (int index = 0; index < this->size; index++) {
				this->node[index] = index;
			}
		}
	}
	//Connect two nodes
	void connect(int start, int last, int weight) {
		AjlistNode *new_edge = new AjlistNode(last, weight);
		if (this->node[start].next == NULL) {
			this->node[start].next = new_edge;
		} else {
			AjlistNode *temp = this->node[start].next;
			while (temp->next != NULL) {
				temp = temp->next;
			}
			temp->next = new_edge;
		}
	}
	//Add edge of two nodes
	void add_edge(int start, int last, int weight) {
		if (start >= 0 &&
			start < this->size &&
			last >= 0 &&
			last < this->size &&
			this->node != NULL) {
			this->connect(start, last, weight);
		} else {
			cout << "\nHere Something Wrong";
		}
	}
	void print_graph() {
		if (this->size > 0 &&
			this->node != NULL) {
			for (int index = 0; index < this->size; index++) {
				cout << "\nAdjacency list of vertex " << index << " :";
				AjlistNode *temp = this->node[index].next;
				while (temp != NULL) {
					cout << " " << this->node[temp->id].data;
					temp = temp->next;
				}
			}
		}
	}
	//perform floyd warshall algorithm in Adjacency list graph
	void floyd_warshall() {
		if (this->node != NULL) {
			int result[size][size];
			AjlistNode *temp = NULL;
			for (int i = 0; i < this->size; ++i) {
				for (int j = 0; j < this->size; ++j) {
					if (i == j) {
						result[i][j] = 0;
					} else {
						//Infinity
						result[i][j] = INT_MAX;
						temp = this->node[i].next;
						//Get the edge information in edge list
						//When edge is exist i to j node
						while (temp != NULL) {
							//when not using more than 2 edge between in two nodes
							//break;

							if (temp->id == j &&
								result[i][j] > temp->weight) {
								result[i][j] = temp->weight;
							}
							temp = temp->next;
						}
					}
				}
			}
			cout << "\n";
			for (int k = 0; k < this->size; ++k) {
				for (int i = 0; i < this->size; ++i) {
					for (int j = 0; j < this->size; ++j) {
						if (result[i][k] < INT_MAX &&
							result[k][j] < INT_MAX &&
							(result[i][k] + result[k][j]) < INT_MAX &&
							result[i][j] > (result[i][k] + result[k][j])) {
							result[i][j] = (result[i][k] + result[k][j]);
						}
						if (result[i][j] < 0) {
							cout << "\nNegative Cycle exist\n";
							return;
						}
					}
				}
			}
			for (int i = 0; i < this->size; ++i) {
				for (int j = 0; j < this->size; ++j) {
					if (INT_MAX == result[i][j]) {
						cout << " INF ";
					} else {
						cout << "  " << result[i][j] << "  ";
					}
				}
				cout << "\n";
			}
		} else {
			cout << "Empty Graph";
		}
	}
};
int main() {
	//5 implies the number of nodes in graph
	MyGraph g =  MyGraph(5);
	//First two parameter indicates number start and last nodes
	//And third parameter indicates weight of edge
	//Connected two node with Edges
	g.add_edge(0, 1, 5);
	g.add_edge(0, 2, 8);
	g.add_edge(0, 4, 3);
	g.add_edge(1, 4, 2);
	g.add_edge(2, 1, 11);
	// When have 2 paths in same node with different weight
	// In real world scenario
	g.add_edge(3, 0, 4);
	g.add_edge(3, 0, 5);
	g.add_edge(3, 2, 7);
	g.add_edge(3, 4, 9);
	g.add_edge(4, 2, 5);
	g.print_graph();
	g.floyd_warshall();
	return 0;
}

Output

Adjacency list of vertex 0 : 1 2 4
Adjacency list of vertex 1 : 4
Adjacency list of vertex 2 : 1
Adjacency list of vertex 3 : 0 0 2 4
Adjacency list of vertex 4 : 2
  0    5    8   INF   3
 INF   0    7   INF   2
 INF   11    0   INF   13
  4    9    7    0    7
 INF   16    5   INF   0
// Java Program
// Floyd Warshall Algorithm
class AjlistNode {
  //Vertices node key
  public int id; 
  public int weight; 
  public AjlistNode next;

  public AjlistNode(int id,int weight) {
    //Set value of node key
    this.id = id;
    this.weight=weight;
    this.next = null;
  }
}
class Vertices {

  public int data;
  public AjlistNode next;

  public Vertices(int data) {
    this.data = data;
    this.next = null;
  }
}

public class MyGraph
{

  //Number of Vertices
  public int size;
    
  public Vertices []node;

  public MyGraph(int size)
  {
    //set value
    this.size = size;
    this.node = new Vertices[size];
    this.set_data();
    
  }

  //Set initial node value
  public void set_data()
  {
    if(node == null)
    {
      System.out.println("\nEmpty Graph");
    }else
    {
      for(int index=0;index<size;index++)
      {

        node[index]=new Vertices(index); 
      }
    }
  }

  //Connect two nodes
  public void connect(int start,int last ,int weight)
  {
    AjlistNode new_edge=new AjlistNode(last,weight);

    if(node[start].next==null)
    {
      node[start].next=new_edge;
    }else
    {
      AjlistNode temp=node[start].next;

      while(temp.next!=null)
      {
        temp=temp.next;
      }
      temp.next=new_edge;
    }
  }
  //Add edge of two nodes
  public void add_edge(int start,int last,int weight)
  {
    if(start>=0 && start < size && last >= 0 &&  last < size && node != null)
    {
      connect(start,last,weight);
    }
    else
    {
      System.out.println("\nHere Something Wrong");
    }
  }

  public void print_graph()
  {

    if(size >0 && node!=null)
    {
      for(int index = 0; index < size; index++)
      {
        System.out.print("\nAdjacency list of vertex "+index+" :");
        AjlistNode temp = node[index].next;
        while(temp != null)
        {
          System.out.print("  "+node[temp.id].data);
          temp=temp.next;
        }
      }
    }
  }
  //perform floyd warshall algorithm in Adjacency list graph
  public void floyd_warshall() 
  {
    if (node != null) 
    {
      int[][] result = new int[size][size];

      AjlistNode temp = null;

      for (int i = 0; i < size; ++i) 
      {
        for (int j = 0; j < size; ++j) 
        {
          if (i == j) {
            result[i][j] = 0;
          } else 
          {
            //Infinity
            result[i][j] = Integer.MAX_VALUE;
            temp = node[i].next;
            //Get the edge information in edge list
            //When edge is exist i to j node

            while (temp != null) 
            {
              

              if (temp.id == j && result[i][j] > temp.weight) 
              {
                
                result[i][j] = temp.weight;
                //when not using more than 2 edge between in two nodes
                //break;
              }
              temp = temp.next;
            }
          }
        }
      }
      System.out.print("\n");
      for (int k = 0; k < size; ++k) 
      {
        for (int i = 0; i < size; ++i) 
        {
          for (int j = 0; j < size; ++j) 
          {
            if (result[i][k] < Integer.MAX_VALUE && result[k][j] < Integer.MAX_VALUE && (result[i][k] + result[k][j]) < Integer.MAX_VALUE && result[i][j] > (result[i][k] + result[k][j])) 
            {
              result[i][j] = (result[i][k] + result[k][j]);
            }
            if(result[i][j]<0)
            {
              System.out.print("\nNegative Cycle exist\n");
              return;
            }
          }


        }
      }
      for (int i = 0; i < size; ++i) 
      {
        for (int j = 0; j < size; ++j) 
        {
          if (Integer.MAX_VALUE == result[i][j]) 
          {
            System.out.print("  INF  ");
          } 
          else 
          {
            System.out.print("  "+result[i][j]+"  " );
          }
        }
        System.out.print("\n");
      }
    } else {
      System.out.print("Empty Graph");
    }
  }
  public static void main(String[] args) 
  {

    //5 implies the number of nodes in graph
    MyGraph g=new MyGraph(5);

    //First two parameter indicates number start and last nodes
    //And third parameter indicates weight of edge
    //Connected two node with Edges
    g.add_edge(0, 1, 5); 
    g.add_edge(0, 2, 8); 
    g.add_edge(0, 4, 3); 
    g.add_edge(1, 4, 2); 
    g.add_edge(2, 1, 11); 

    // When have 2 paths in same node with different weight
    // In real world scenario
    g.add_edge(3, 0, 4); 
    g.add_edge(3, 0, 5); 
    
    
    g.add_edge(3, 2, 7); 
    g.add_edge(3, 4, 9); 
    g.add_edge(4, 2, 5); 

    
    g.print_graph();
    g.floyd_warshall();
  }
}

Output

Adjacency list of vertex 0 : 1 2 4
Adjacency list of vertex 1 : 4
Adjacency list of vertex 2 : 1
Adjacency list of vertex 3 : 0 0 2 4
Adjacency list of vertex 4 : 2
  0    5    8   INF   3
 INF   0    7   INF   2
 INF   11    0   INF   13
  4    9    7    0    7
 INF   16    5   INF   0
// C# Program
// Floyd Warshall Algorithm
using System;
public class AjlistNode {
	//Vertices node key
	public int id;
	public int weight;
	public AjlistNode next;
	public AjlistNode(int id, int weight) {
		//Set value of node key
		this.id = id;
		this.weight = weight;
		this.next = null;
	}
}
public class Vertices {
	public int data;
	public AjlistNode next;
	public Vertices(int data) {
		this.data = data;
		this.next = null;
	}
}
public class MyGraph {
	//Number of Vertices
	public int size;
	public Vertices[] node;
	public MyGraph(int size) {
		//set value
		this.size = size;
		this.node = new Vertices[size];
		this.set_data();
	}
	//Set initial node value
	public void set_data() {
		if (node == null) {
			Console.WriteLine("\nEmpty Graph");
		} else {
			for (int index = 0; index < size; index++) {
				node[index] = new Vertices(index);
			}
		}
	}
	//Connect two nodes
	public void connect(int start, int last, int weight) {
		AjlistNode new_edge = new AjlistNode(last, weight);
		if (node[start].next == null) {
			node[start].next = new_edge;
		} else {
			AjlistNode temp = node[start].next;
			while (temp.next != null) {
				temp = temp.next;
			}
			temp.next = new_edge;
		}
	}
	//Add edge of two nodes
	public void add_edge(int start, int last, int weight) {
		if (start >= 0 &&
			start < size &&
			last >= 0 &&
			last < size &&
			node != null) {
			connect(start, last, weight);
		} else {
			Console.WriteLine("\nHere Something Wrong");
		}
	}
	public void print_graph() {
		if (size > 0 &&
			node != null) {
			for (int index = 0; index < size; index++) {
				Console.Write("\nAdjacency list of vertex " + index + " :");
				AjlistNode temp = node[index].next;
				while (temp != null) {
					Console.Write("  " + node[temp.id].data);
					temp = temp.next;
				}
			}
		}
	}
	//perform floyd warshall algorithm in Adjacency list graph
	public void floyd_warshall() {
		if (node != null) {
			int[,] result = new int[size,size];
			AjlistNode temp = null;
			for (int i = 0; i < size; ++i) {
				for (int j = 0; j < size; ++j) {
					if (i == j) {
						result[i,j] = 0;
					} else {
						//Infinity
						result[i,j] = int.MaxValue;
						temp = node[i].next;
						//Get the edge information in edge list
						//When edge is exist i to j node
						while (temp != null) {
							//when not using more than 2 edge between in two nodes
							//break;

							if (temp.id == j &&
								result[i,j] > temp.weight) {
								result[i,j] = temp.weight;
							}
							temp = temp.next;
						}
					}
				}
			}
			Console.Write("\n");
			for (int k = 0; k < size; ++k) {
				for (int i = 0; i < size; ++i) {
					for (int j = 0; j < size; ++j) {
						if (result[i,k] < int.MaxValue &&
							result[k,j] < int.MaxValue &&
							(result[i,k] + result[k,j]) < int.MaxValue &&
							result[i,j] > (result[i,k] + result[k,j])) {
							result[i,j] = (result[i,k] + result[k,j]);
						}
						if (result[i,j] < 0) {
							Console.Write("\nNegative Cycle exist\n");
							return;
						}
					}
				}
			}
			for (int i = 0; i < size; ++i) {
				for (int j = 0; j < size; ++j) {
					if (int.MaxValue == result[i,j]) {
						Console.Write(" INF ");
					} else {
						Console.Write("  " + result[i,j] + "  ");
					}
				}
				Console.Write("\n");
			}
		} else {
			Console.Write("Empty Graph");
		}
	}
	public static void Main(String[] args) {
		//5 implies the number of nodes in graph
		MyGraph g = new MyGraph(5);
		g.add_edge(0, 1, 5);
		g.add_edge(0, 2, 8);
		g.add_edge(0, 4, 3);
		g.add_edge(1, 4, 2);
		g.add_edge(2, 1, 11);
		g.add_edge(3, 0, 4);
		g.add_edge(3, 0, 5);
		g.add_edge(3, 2, 7);
		g.add_edge(3, 4, 9);
		g.add_edge(4, 2, 5);
		g.print_graph();
		g.floyd_warshall();
	}
}

Output

Adjacency list of vertex 0 :  1  2  4
Adjacency list of vertex 1 :  4
Adjacency list of vertex 2 :  1
Adjacency list of vertex 3 :  0  0  2  4
Adjacency list of vertex 4 :  2
  0    5    8   INF   3
 INF   0    7   INF   2
 INF   11    0   INF   13
  4    9    7    0    7
 INF   16    5   INF   0
<?php
// Php Program
// Floyd Warshall Algorithm
class AjlistNode {
	//Vertices node key

	public $id;
	public $weight;
	public $next;

	function __construct($id, $weight) {
		//Set value of node key
		$this->id = $id;
		$this->weight = $weight;
		$this->next = null;
	}
}
class Vertices {
	public $data;
	public $next;

	function __construct($data) {
		$this->data = $data;
		$this->next = null;
	}
}
class MyGraph {
	//Number of Vertices

	public $size;
	public $node;

	function __construct($size) {
		//set value
		$this->size = $size;
		$this->node = array_fill(0, $size, null);
		$this->set_data();
	}
	//Set initial node value

	public 	function set_data() {
		if ($this->node == null) {
			echo("\nEmpty Graph");
		} else {
			for ($index = 0; $index < $this->size; $index++) {
				$this->node[$index] = new Vertices($index);
			}
		}
	}
	//Connect two nodes

	public 	function connect($start, $last, $weight) {
		$new_edge = new AjlistNode($last, $weight);
		if ($this->node[$start]->next == null) {
			$this->node[$start]->next = $new_edge;
		} else {
			$temp = $this->node[$start]->next;
			while ($temp->next != null) {
				$temp = $temp->next;
			}
			$temp->next = $new_edge;
		}
	}
	//Add edge of two nodes

	public 	function add_edge($start, $last, $weight) {
		if ($start >= 0 &&
			$start < $this->size &&
			$last >= 0 &&
			$last < $this->size &&
			$this->node != null) {
			$this->connect($start, $last, $weight);
		} else {
			echo("\nHere Something Wrong");
		}
	}
	public 	function print_graph() {
		if ($this->size > 0 &&
			$this->node != null) {
			for ($index = 0; $index < $this->size; $index++) {
				echo("\nAdjacency list of vertex ". $index ." :");
				$temp = $this->node[$index]->next;
				while ($temp != null) {
					echo(" ". $this->node[$temp->id]->data);
					$temp = $temp->next;
				}
			}
		}
	}
	//perform floyd warshall algorithm in Adjacency list graph

	public 	function floyd_warshall() {
		if ($this->node != null) {
			$result = array_fill(0, $this->size, array_fill(0, $this->size, 0));
			$temp = null;
			for ($i = 0; $i < $this->size; ++$i) {
				for ($j = 0; $j < $this->size; ++$j) {
					if ($i == $j) {
						$result[$i][$j] = 0;
					} else {
						//Infinity
						$result[$i][$j] = PHP_INT_MAX;
						$temp = $this->node[$i]->next;
						//Get the edge information in edge list
						//When edge is exist i to j node
						while ($temp != null) {
							

							if ($temp->id == $j &&
								$result[$i][$j] > $temp->weight) {
								$result[$i][$j] = $temp->weight;
                              	//when not using more than 2 edge between in two nodes
								//break;
							}
							$temp = $temp->next;
						}
					}
				}
			}
			echo("\n");
			for ($k = 0; $k < $this->size; ++$k) {
				for ($i = 0; $i < $this->size; ++$i) {
					for ($j = 0; $j < $this->size; ++$j) {
						if ($result[$i][$k] < PHP_INT_MAX &&
							$result[$k][$j] < PHP_INT_MAX &&
							($result[$i][$k] + $result[$k][$j]) < PHP_INT_MAX &&
							$result[$i][$j] > ($result[$i][$k] + $result[$k][$j])) {
							$result[$i][$j] = ($result[$i][$k] + $result[$k][$j]);
						}
						if ($result[$i][$j] < 0) {
							echo("\nNegative Cycle exist\n");
							return;
						}
					}
				}
			}
			for ($i = 0; $i < $this->size; ++$i) {
				for ($j = 0; $j < $this->size; ++$j) {
					if (PHP_INT_MAX == $result[$i][$j]) {
						echo(" INF ");
					} else {
						echo("  ". $result[$i][$j] ."  ");
					}
				}
				echo("\n");
			}
		} else {
			echo("Empty Graph");
		}
	}
}

function main() {
	//5 implies the number of nodes in graph
	$g = new MyGraph(5);
	//First two parameter indicates number start and last nodes
	//And third parameter indicates weight of edge
	//Connected two node with Edges
	$g->add_edge(0, 1, 5);
	$g->add_edge(0, 2, 8);
	$g->add_edge(0, 4, 3);
	$g->add_edge(1, 4, 2);
	$g->add_edge(2, 1, 11);
	// When have 2 paths in same node with different weight
	// In real world scenario
	$g->add_edge(3, 0, 4);
	$g->add_edge(3, 0, 5);
	$g->add_edge(3, 2, 7);
	$g->add_edge(3, 4, 9);
	$g->add_edge(4, 2, 5);
	$g->print_graph();
	$g->floyd_warshall();

}
main();

Output

Adjacency list of vertex 0 : 1 2 4
Adjacency list of vertex 1 : 4
Adjacency list of vertex 2 : 1
Adjacency list of vertex 3 : 0 0 2 4
Adjacency list of vertex 4 : 2
  0    5    8   INF   3
 INF   0    7   INF   2
 INF   11    0   INF   13
  4    9    7    0    7
 INF   16    5   INF   0
// Node Js Program
// Floyd Warshall Algorithm
class AjlistNode {
	//Vertices node key

	constructor(id, weight) {
		//Set value of node key
		this.id = id;
		this.weight = weight;
		this.next = null;
	}
}
class Vertices {
	constructor(data) {
		this.data = data;
		this.next = null;
	}
}
class MyGraph {
	//Number of Vertices

	constructor(size) {
		//set value
		this.size = size;
		this.node = Array(size).fill(null);
		this.set_data();
	}

	//Set initial node value
	set_data() {
		if (this.node == null) {
			process.stdout.write("\nEmpty Graph");
		} else {
			for (var index = 0; index < this.size; index++) {
				this.node[index] = new Vertices(index);
			}
		}
	}

	//Connect two nodes
	connect(start, last, weight) {
		var new_edge = new AjlistNode(last, weight);
		if (this.node[start].next == null) {
			this.node[start].next = new_edge;
		} else {
			var temp = this.node[start].next;
			while (temp.next != null) {
				temp = temp.next;
			}
			temp.next = new_edge;
		}
	}

	//Add edge of two nodes
	add_edge(start, last, weight) {
		if (start >= 0 &&
			start < this.size &&
			last >= 0 &&
			last < this.size &&
			this.node != null) {
			this.connect(start, last, weight);
		} else {
			process.stdout.write("\nHere Something Wrong");
		}
	}
	print_graph() {
		if (this.size > 0 &&
			this.node != null) {
			for (var index = 0; index < this.size; index++) {
				process.stdout.write("\nAdjacency list of vertex " + index + " :");
				var temp = this.node[index].next;
				while (temp != null) {
					process.stdout.write(" " + this.node[temp.id].data);
					temp = temp.next;
				}
			}
		}
	}

	//perform floyd warshall algorithm in Adjacency list graph
	floyd_warshall() {
		if (this.node != null) {
			var result = Array(this.size).fill(0).map(() => new Array(this.size).fill(0));
			var temp = null;
			for (var i = 0; i < this.size; ++i) {
				for (var j = 0; j < this.size; ++j) {
					if (i == j) {
						result[i][j] = 0;
					} else {
						//Infinity
						result[i][j] = Number.MAX_VALUE;
						temp = this.node[i].next;
						//Get the edge information in edge list
						//When edge is exist i to j node
						while (temp != null) {
							//when not using more than 2 edge between in two nodes
							//break;

							if (temp.id == j &&
								result[i][j] > temp.weight) {
								result[i][j] = temp.weight;
							}
							temp = temp.next;
						}
					}
				}
			}

			process.stdout.write("\n");
			for (var k = 0; k < this.size; ++k) {
				for (var i = 0; i < this.size; ++i) {
					for (var j = 0; j < this.size; ++j) {
						if (result[i][k] < Number.MAX_VALUE &&
							result[k][j] < Number.MAX_VALUE &&
							(result[i][k] + result[k][j]) < Number.MAX_VALUE &&
							result[i][j] > (result[i][k] + result[k][j])) {
							result[i][j] = (result[i][k] + result[k][j]);
						}

						if (result[i][j] < 0) {
							process.stdout.write("\nNegative Cycle exist\n");
							return;
						}
					}
				}
			}

			for (var i = 0; i < this.size; ++i) {
				for (var j = 0; j < this.size; ++j) {
					if (Number.MAX_VALUE == result[i][j]) {
						process.stdout.write(" INF ");
					} else {
						process.stdout.write("  " + result[i][j] + "  ");
					}
				}

				process.stdout.write("\n");
			}
		} else {
			process.stdout.write("Empty Graph");
		}
	}
}

function main(args) {
	//5 implies the number of nodes in graph
	var g = new MyGraph(5);
	//First two parameter indicates number start and last nodes
	//And third parameter indicates weight of edge
	//Connected two node with Edges
	g.add_edge(0, 1, 5);
	g.add_edge(0, 2, 8);
	g.add_edge(0, 4, 3);
	g.add_edge(1, 4, 2);
	g.add_edge(2, 1, 11);
	// When have 2 paths in same node with different weight
	// In real world scenario
	g.add_edge(3, 0, 4);
	g.add_edge(3, 0, 5);
	g.add_edge(3, 2, 7);
	g.add_edge(3, 4, 9);
	g.add_edge(4, 2, 5);
	g.print_graph();
	g.floyd_warshall();
}

main();

Output

Adjacency list of vertex 0 : 1 2 4
Adjacency list of vertex 1 : 4
Adjacency list of vertex 2 : 1
Adjacency list of vertex 3 : 0 0 2 4
Adjacency list of vertex 4 : 2
  0    5    8   INF   3
 INF   0    7   INF   2
 INF   11    0   INF   13
  4    9    7    0    7
 INF   16    5   INF   0
#  Python 3 Program
#  Floyd Warshall Algorithm
import sys
class AjlistNode :
	# Vertices node key
	def __init__(self, id, weight) :
		# Set value of node key
		self.id = id
		self.weight = weight
		self.next = None
	

class Vertices :
	def __init__(self, data) :
		self.data = data
		self.next = None
	

class MyGraph :
	# Number of Vertices
	def __init__(self, size) :
		# set value
		self.size = size
		self.node = [None] * size
		self.set_data()
	
	# Set initial node value
	def set_data(self) :
		if (self.node == None) :
			print("\nEmpty Graph", end = "")
		else :
			index = 0
			while (index < self.size) :
				self.node[index] = Vertices(index)
				index += 1
			
		
	
	# Connect two nodes
	def connect(self, start, last, weight) :
		new_edge = AjlistNode(last, weight)
		if (self.node[start].next == None) :
			self.node[start].next = new_edge
		else :
			temp = self.node[start].next
			while (temp.next != None) :
				temp = temp.next
			
			temp.next = new_edge
		
	
	# Add edge of two nodes
	def add_edge(self, start, last, weight) :
		if (start >= 0 and start < self.size and 
            last >= 0 and last < self.size and self.node != None) :
			self.connect(start, last, weight)
		else :
			print("\nHere Something Wrong", end = "")
		
	
	def print_graph(self) :
		if (self.size > 0 and self.node != None) :
			index = 0
			while (index < self.size) :
				print("\nAdjacency list of vertex ", index ," :", end = "")
				temp = self.node[index].next
				while (temp != None) :
					print(" ", self.node[temp.id].data, end = "")
					temp = temp.next
				
				index += 1
			
		
	
	# perform floyd warshall algorithm in Adjacency list graph
	def floyd_warshall(self) :
		if (self.node != None) :
			result = [[0] * self.size
                      for _ in range(self.size)]
			temp = None
			i = 0
			while (i < self.size) :
				j = 0
				while (j < self.size) :
					if (i == j) :
						result[i][j] = 0
					else :
						# Infinity
						result[i][j] = sys.maxsize
						temp = self.node[i].next
						# Get the edge information in edge list
						# When edge is exist i to j node
						while (temp != None) :
							# when not using more than 2 edge between in two nodes
							# break

							if (temp.id == j and result[i][j] > temp.weight) :
								result[i][j] = temp.weight
							
							temp = temp.next
						
					
					j += 1
				
				i += 1
			
			print("\n", end = "")
			k = 0
			while (k < self.size) :
				i = 0
				while (i < self.size) :
					j = 0
					while (j < self.size) :
						if (result[i][k] < sys.maxsize and
                            result[k][j] < sys.maxsize 
							and(result[i][k] + result[k][j]) < sys.maxsize and 
                        result[i][j] > (result[i][k] + result[k][j])) :
							result[i][j] = (result[i][k] + result[k][j])
						
						if (result[i][j] < 0) :
							print("\nNegative Cycle exist\n", end = "")
							return
						
						j += 1
					
					i += 1
				
				k += 1
			
			i = 0
			while (i < self.size) :
				j = 0
				while (j < self.size) :
					if (sys.maxsize == result[i][j]) :
						print(" INF ", end = "")
					else :
						print(" ", result[i][j] ," ", end = "")
					
					j += 1
				
				print("\n", end = "")
				i += 1
			
		else :
			print("Empty Graph", end = "")
		
	

def main() :
	# 5 implies the number of nodes in graph
	g = MyGraph(5)
	# First two parameter indicates number start and last nodes
	# And third parameter indicates weight of edge
	# Connected two node with Edges
	g.add_edge(0, 1, 5)
	g.add_edge(0, 2, 8)
	g.add_edge(0, 4, 3)
	g.add_edge(1, 4, 2)
	g.add_edge(2, 1, 11)
	#  When have 2 paths in same node with different weight
	#  In real world scenario
	g.add_edge(3, 0, 4)
	g.add_edge(3, 0, 5)
	g.add_edge(3, 2, 7)
	g.add_edge(3, 4, 9)
	g.add_edge(4, 2, 5)
	g.print_graph()
	g.floyd_warshall()


if __name__ == "__main__":
	main()

Output

Adjacency list of vertex  0  :  1  2  4
Adjacency list of vertex  1  :  4
Adjacency list of vertex  2  :  1
Adjacency list of vertex  3  :  0  0  2  4
Adjacency list of vertex  4  :  2
  0    5    8   INF   3
 INF   0    7   INF   2
 INF   11    0   INF   13
  4    9    7    0    7
 INF   16    5   INF   0
#  Ruby Program
#  Floyd Warshall Algorithm
class AjlistNode
    # Define the accessor and reader of class AjlistNode
    attr_reader :id, :weight, :next
    attr_accessor :id, :weight, :next 
	# Vertices node key
	def initialize(id, weight) 
		# Set value of node key
		self.id = id
		self.weight = weight
		self.next = nil
	end
end
class Vertices
    # Define the accessor and reader of class Vertices
    attr_reader :data, :next
    attr_accessor :data, :next 
	
	def initialize(data) 
		self.data = data
		self.next = nil
	end
end
class MyGraph
    # Define the accessor and reader of class MyGraph
    attr_reader :size, :node
    attr_accessor :size, :node 
	# Number of Vertices
	def initialize(size) 
		# set value
		self.size = size
		self.node = Array.new(size) {nil}
		self.set_data()
	end
	# Set initial node value
	def set_data() 
		if (@node == nil) 
			print("\nEmpty Graph")
		else 
			index = 0
			while (index < @size) 
				@node[index] = Vertices.new(index)
				index += 1
			end
		end
	end
	# Connect two nodes
	def connect(start, last, weight) 
		new_edge = AjlistNode.new(last, weight)
		if (@node[start].next == nil) 
			@node[start].next = new_edge
		else 
			temp = @node[start].next
			while (temp.next != nil) 
				temp = temp.next
			end
			temp.next = new_edge
		end
	end
	# Add edge of two nodes
	def add_edge(start, last, weight) 
		if (start >= 0 &&
			start < @size &&
			last >= 0 &&
			last < @size &&
			@node != nil) 
			self.connect(start, last, weight)
		else 
			print("\nHere Something Wrong")
		end
	end
	def print_graph() 
		if (@size > 0 &&
			@node != nil) 
			index = 0
			while (index < @size) 
				print("\nAdjacency list of vertex ", index ,"  :")
				temp = @node[index].next
				while (temp != nil) 
					print(" ", @node[temp.id].data)
					temp = temp.next
				end
				index += 1
			end
		end
	end
	# perform floyd warshall algorithm in Adjacency list graph
	def floyd_warshall() 
		if (@node != nil) 
			result = Array.new(@size) { Array.new(@size){0}}
			temp = nil
			i = 0
			while (i < @size) 
				j = 0
				while (j < @size) 
					if (i == j) 
						result[i][j] = 0
					else 
						# Infinity
						result[i][j] = (2 ** (0. size * 8 - 2))
						temp = @node[i].next
						# Get the edge information in edge list
						# When edge is exist i to j node
						while (temp != nil) 
							# when not using more than 2 edge between in two nodes
							# break

							if (temp.id == j &&
								result[i][j] > temp.weight) 
								result[i][j] = temp.weight
							end
							temp = temp.next
						end
					end
					j += 1
				end
				i += 1
			end
			print("\n")
			k = 0
			while (k < @size) 
				i = 0
				while (i < @size) 
					j = 0
					while (j < @size) 
						if (result[i][k] < (2 ** (0. size * 8 - 2)) &&
							result[k][j] < (2 ** (0. size * 8 - 2)) &&
							(result[i][k] + result[k][j]) < (2 ** (0. size * 8 - 2)) &&
							result[i][j] > (result[i][k] + result[k][j])) 
							result[i][j] = (result[i][k] + result[k][j])
						end
						if (result[i][j] < 0) 
							print("\nNegative Cycle exist\n")
							return
						end
						j += 1
					end
					i += 1
				end
				k += 1
			end
			i = 0
			while (i < @size) 
				j = 0
				while (j < @size) 
					if ((2 ** (0. size * 8 - 2)) == result[i][j]) 
						print(" INF ")
					else 
						print("  ", result[i][j] ,"  ")
					end
					j += 1
				end
				print("\n")
				i += 1
			end
		else 
			print("Empty Graph")
		end
	end
end
def main() 
	# 5 implies the number of nodes in graph
	g = MyGraph.new(5)
	# First two parameter indicates number start and last nodes
	# And third parameter indicates weight of edge
	# Connected two node with Edges
	g.add_edge(0, 1, 5)
	g.add_edge(0, 2, 8)
	g.add_edge(0, 4, 3)
	g.add_edge(1, 4, 2)
	g.add_edge(2, 1, 11)
	#  When have 2 paths in same node with different weight
	#  In real world scenario
	g.add_edge(3, 0, 4)
	g.add_edge(3, 0, 5)
	g.add_edge(3, 2, 7)
	g.add_edge(3, 4, 9)
	g.add_edge(4, 2, 5)
	g.print_graph()
	g.floyd_warshall()
end
main()

Output

Adjacency list of vertex 0  : 1 2 4
Adjacency list of vertex 1  : 4
Adjacency list of vertex 2  : 1
Adjacency list of vertex 3  : 0 0 2 4
Adjacency list of vertex 4  : 2
  0    5    8   INF   3  
 INF   0    7   INF   2  
 INF   11    0   INF   13  
  4    9    7    0    7  
 INF   16    5   INF   0  

// Scala Program
// Floyd Warshall Algorithm
class AjlistNode(var id: Int,
	var next: AjlistNode,
		var weight: Int) {

	def this(id: Int, weight: Int) {
		//Set value
      	this(id,null,weight);
	}
}
class Vertices(var data: Int,
	var next: AjlistNode) {

	def this(data: Int) {
		this(data,null);
	}
}
class MyGraph(var size: Int,
	var node: Array[Vertices]) {
	//Number of Vertices
	def this(size: Int) {
		this(size,Array.fill[Vertices](size)(null));
		this.set_data();
	}
	//Set initial node value
	def set_data(): Unit = {
		if (node == null) {
			print("\nEmpty Graph");
		} else {
			var index: Int = 0;
			while (index < size) {
				node(index) = new Vertices(index);
				index += 1;
			}
		}
	}
	//Connect two nodes
	def connect(start: Int, last: Int, weight: Int): Unit = {
		var new_edge: AjlistNode = new AjlistNode(last, weight);

		if (node(start).next == null) {
			node(start).next = new_edge;
		} else {
			var temp: AjlistNode = node(start).next;
			while (temp.next != null) {
				temp = temp.next;
			}
			temp.next = new_edge;
		}
	}
	//Add edge of two nodes
	def add_edge(start: Int, last: Int, weight: Int): Unit = {
		if (start >= 0 &&
			start < size &&
			last >= 0 &&
			last < size &&
			node != null) {
			connect(start, last, weight);
		} else {
			print("\nHere Something Wrong");
		}
	}
	def print_graph(): Unit = {
		if (size > 0 &&
			node != null) {
			var index: Int = 0;
			while (index < size) {
				print("\nAdjacency list of vertex " + index + " :");
				var temp: AjlistNode = node(index).next;
				while (temp != null) {
					print(" " + node(temp.id).data);
					temp = temp.next;
				}
				index += 1;
			}
		}
	}
	//perform floyd warshall algorithm in Adjacency list graph
	def floyd_warshall(): Unit = {
		if (node != null) {
			var result:Array[Array[Int]] = Array.fill[Int](this.size,this.size)(0);
			var temp: AjlistNode = null;
			var i: Int = 0;
          	var j: Int = 0;
			while (i < size) {
				j = 0;
				while (j < size) {
					if (i == j) {
						result(i)(j) = 0;
					} else {
						//Infinity
						result(i)(j) = Int.MaxValue;
						temp = node(i).next;

						//Get the edge information in edge list
						//When edge is exist i to j node
						while (temp != null) {
							//when not using more than 2 edge between in two nodes
							//break;

							if (temp.id == j &&
								result(i)(j) > temp.weight) {
								result(i)(j) = temp.weight;
							}
							temp = temp.next;
						}
					}
					j += 1;
				}
				i += 1;
			}
			print("\n");
			var k: Int = 0;
			while (k < size) {
				i = 0;
				while (i < size) {
					j = 0;
					while (j < size) {
						if (result(i)(k) < Int.MaxValue &&
							result(k)(j) < Int.MaxValue &&
							(result(i)(k) + result(k)(j)) < Int.MaxValue &&
							result(i)(j) > (result(i)(k) + result(k)(j))) {
							result(i)(j) = (result(i)(k) + result(k)(j));
						}
						if (result(i)(j) < 0) {
							print("\nNegative Cycle exist\n");

							return;
						}
						j += 1;
					}
					i += 1;
				}
				k += 1;
			}
			i = 0;
			while (i < size) {
				j = 0;
				while (j < size) {
					if (Int.MaxValue == result(i)(j)) {
						print(" INF ");
					} else {
						print("  " + result(i)(j) + "  ");
					}
					j += 1;
				}
				print("\n");
				i += 1;
			}
		} else {
			print("Empty Graph");
		}
	}
}
object Main {
	def main(args: Array[String]): Unit = {
		//5 implies the number of nodes in graph
		var g: MyGraph = new MyGraph(5);

		//First two parameter indicates number start and last nodes
		//And third parameter indicates weight of edge
		//Connected two node with Edges
		g.add_edge(0, 1, 5);
		g.add_edge(0, 2, 8);
		g.add_edge(0, 4, 3);
		g.add_edge(1, 4, 2);
		g.add_edge(2, 1, 11);

		// When have 2 paths in same node with different weight
		// In real world scenario
		g.add_edge(3, 0, 4);
		g.add_edge(3, 0, 5);
		g.add_edge(3, 2, 7);
		g.add_edge(3, 4, 9);
		g.add_edge(4, 2, 5);
		g.print_graph();
		g.floyd_warshall();
	}
}

Output

Adjacency list of vertex 0 : 1 2 4
Adjacency list of vertex 1 : 4
Adjacency list of vertex 2 : 1
Adjacency list of vertex 3 : 0 0 2 4
Adjacency list of vertex 4 : 2
  0    5    8   INF   3
 INF   0    7   INF   2
 INF   11    0   INF   13
  4    9    7    0    7
 INF   16    5   INF   0
// Swift Program
// Floyd Warshall Algorithm
class AjlistNode {
  //Vertices node key
  var id: Int;
  var weight: Int;
  var next: AjlistNode? ;
  init(_ id: Int, _ weight: Int) {
    //Set value of node key
    self.id = id;
    self.weight = weight;
    self.next = nil;
  }
}
class Vertices {
  var data: Int;
  var next: AjlistNode? ;
  init(_ value: Int) {
    self.data = value;
    self.next = nil;
  }
}
class MyGraph {
  //Number of Vertices
  var size: Int;
  var node: [Vertices]? = [Vertices]() ;

  init(_ size: Int) {
    //set value
    self.size = size;
    var i = 0;
    while (i<size) {
      self.node!.append(Vertices(i));
      i+=1;

    }
  }
  //Connect two nodes
  func connect(_ start: Int, _ last: Int, _ weight: Int) {
    let new_edge: AjlistNode? = AjlistNode(last, weight);
    if (self.node![start].next == nil) {
      self.node![start].next = new_edge;
    } else {
      var temp: AjlistNode? = self.node![start].next;
      while (temp!.next != nil) {
        temp = temp!.next;
      }
      temp!.next = new_edge;
    }
  }
  //Add edge of two nodes
  func add_edge(_ start: Int, _ last: Int, _ weight: Int) {
    if (start >= 0 &&
      start < self.size &&
      last >= 0 &&
      last < self.size &&
      self.node != nil) {
      self.connect(start, last, weight);
  
    } else {
      print("\nHere Something Wrong", terminator: "");
    }
  }
  func print_graph() {
    if (self.size > 0 &&
      self.node != nil) {
      var index: Int = 0;
      while (index < self.size) {
        print("\nAdjacency list of vertex ", index ," :", terminator: "");
        var temp: AjlistNode? = self.node![index].next;
        while (temp != nil) {
          print(" ", self.node![temp!.id].data, terminator: "");
          temp = temp!.next;
        }
        index += 1;
      }
    }
  }
  //perform floyd warshall algorithm in Adjacency list graph
  func floyd_warshall() {
    if (self.node != nil) {
      var result: [[Int]] = Array( repeating : Array(repeating: 0, count: self.size),count: self.size);
      var temp: AjlistNode? = nil;
      var i: Int = 0;
      var j: Int = 0;
      var k: Int = 0;
      while (i < self.size) {
        j = 0;

        while (j < self.size) {
          if (i == j) {
            result[i][j] = 0;
          } else {
            //Infinity
            result[i][j] = Int.max;
            temp = self.node![i].next;
            //Get the edge information in edge list
            //When edge is exist i to j node
            while (temp != nil) {
              

              if (temp!.id == j &&
                result[i][j] > temp!.weight) {
                result[i][j] = temp!.weight;
                //when not using more than 2 edge between in two nodes
                //break;
              }
              temp = temp!.next;
            }
          }
          j += 1;
        }
        i += 1;
      }
      print("\n", terminator: "");
    
      while (k < self.size) {
        i = 0;
        while (i < self.size) {
          j = 0;
          while (j < self.size) {
            if (result[i][k] < Int.max &&
              result[k][j] < Int.max &&
              (result[i][k] + result[k][j]) < Int.max &&
              result[i][j] > (result[i][k] + result[k][j])) {
              result[i][j] = (result[i][k] + result[k][j]);
            }
            if (result[i][j] < 0) {
              print("\nNegative Cycle exist\n", terminator: "");
              return;
            }
            j += 1;
          }
          i += 1;
        }
        k += 1;
      }
      i = 0;
      while (i < self.size) {

        j = 0;
        while (j < self.size) {
          if (Int.max == result[i][j]) {
            print(" INF ", terminator: "");
          } else {
            print(" ", result[i][j] ," ", terminator: "");
          }
          j += 1;
        }
        print("\n", terminator: "");
        i += 1;
      }
    } else {
      print("Empty Graph", terminator: "");
    }
  }
}
func main() {
  
  //5 implies the number of nodes in graph
  let g: MyGraph? = MyGraph(5);
  //First two parameter indicates number start and last nodes
  //And third parameter indicates weight of edge
  //Connected two node with Edges
  g!.add_edge(0, 1, 5);
  g!.add_edge(0, 2, 8);
  g!.add_edge(0, 4, 3);
  g!.add_edge(1, 4, 2);
  g!.add_edge(2, 1, 11);
  // When have 2 paths in same node with different weight
  // In real world scenario
  g!.add_edge(3, 0, 4);
  g!.add_edge(3, 0, 5);
  g!.add_edge(3, 2, 7);
  g!.add_edge(3, 4, 9);
  g!.add_edge(4, 2, 5);
  g!.print_graph();
  g!.floyd_warshall();
}
main();

Output

Adjacency list of vertex  0  :  1  2  4
Adjacency list of vertex  1  :  4
Adjacency list of vertex  2  :  1
Adjacency list of vertex  3  :  0  0  2  4
Adjacency list of vertex  4  :  2
  0    5    8   INF   3  
 INF   0    7   INF   2  
 INF   11    0   INF   13  
  4    9    7    0    7  
 INF   16    5   INF   0
Last updated on by Kalkicode




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