Find all mother vertex of a directed graph in c#
Csharp program for Find all mother vertex of a directed graph. Here problem description and explanation.
// Include namespace system
using System;
/*
Csharp program for
Find all Mother Vertex in a Graph
*/
public class AjlistNode
{
// Vertices node key
public int id;
public AjlistNode next;
public AjlistNode(int id)
{
// Set value of node key
this.id = id;
this.next = null;
}
}
public class Vertices
{
public int data;
public AjlistNode next;
public AjlistNode last;
public Vertices(int data)
{
this.data = data;
this.next = null;
this.last = null;
}
}
public class Graph
{
// Number of Vertices
public int size;
public Vertices[] node;
public Graph(int size)
{
// Set value
this.size = size;
this.node = new Vertices[size];
this.setData();
}
// Set initial node value
public void setData()
{
if (this.size <= 0)
{
Console.WriteLine("\nEmpty Graph");
}
else
{
for (var index = 0; index < this.size; index++)
{
// Set initial node value
this.node[index] = new Vertices(index);
}
}
}
// Handling the request of adding new edge
public void addEdge(int start, int last)
{
if (start >= 0 && start < this.size && last >= 0 && last < this.size)
{
// Safe connection
var edge = new AjlistNode(last);
if (this.node[start].next == null)
{
this.node[start].next = edge;
}
else
{
// Add edge at the end
this.node[start].last.next = edge;
}
// Get last edge
this.node[start].last = edge;
}
else
{
// When invalid nodes
Console.WriteLine("\nHere Something Wrong");
}
}
public void printGraph()
{
if (this.size > 0)
{
// Print graph ajlist Node value
for (var index = 0; index < this.size; ++index)
{
Console.Write("\nAdjacency list of vertex " + index + " :");
var temp = this.node[index].next;
while (temp != null)
{
// Display graph node
Console.Write(" " + this.node[temp.id].data);
// Visit to next edge
temp = temp.next;
}
}
}
}
// Check Path of given vertex
public void dfs(int point, bool[] path)
{
if (path[point])
{
// When alredy visit
return;
}
else
{
// Collect the current node into the path
path[point] = true;
var temp = this.node[point].next;
while (temp != null)
{
// Visit to edge node
this.dfs(temp.id, path);
// Visit to next edge
temp = temp.next;
}
}
}
public void printMotherVertices()
{
if (this.size <= 0)
{
// No nodes
return;
}
Console.Write("\nMother Vertex :");
bool[] path = new bool[this.size];
var n = 0;
var status = true;
var count = 0;
while (n < this.size)
{
// Check path of node n
this.dfs(n, path);
// When current node are visit other nodes
// Then that is a Mother Vertex
for (var index = 0; index < this.size; index++)
{
if (path[index] == false)
{
// When path not contain current node
status = false;
}
// Reset element value
path[index] = false;
}
if (status)
{
// Display result node
Console.Write(" " + n);
count++;
}
// Reset status
status = true;
// Visit next node
n++;
}
if (count == 0)
{
Console.WriteLine("Node");
}
}
public static void Main(String[] args)
{
// 7 implies the number of nodes in graph
var g = new Graph(7);
// Connect node with an edge
g.addEdge(1, 0);
g.addEdge(1, 4);
g.addEdge(2, 5);
g.addEdge(3, 1);
g.addEdge(3, 2);
g.addEdge(3, 6);
g.addEdge(4, 3);
g.addEdge(5, 0);
// Print graph element
g.printGraph();
// Test
g.printMotherVertices();
}
}
Output
Adjacency list of vertex 0 :
Adjacency list of vertex 1 : 0 4
Adjacency list of vertex 2 : 5
Adjacency list of vertex 3 : 1 2 6
Adjacency list of vertex 4 : 3
Adjacency list of vertex 5 : 0
Adjacency list of vertex 6 :
Mother Vertex : 1 3 4
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