Wednesday, 4 October 2017

DAA: Program to study and implement Depth first search.

No: 11

1. vision:
2. OBJECTIVE: Program to implement Depth first search in c programming.
3. THEORY:
Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. One starts at the root (selecting some arbitrary node as the root in the case of a graph) and explores as far as possible along each branch before backtracking. DFS is typically used to traverse an entire graph, For applications of DFS in relation to specific domains, such as searching for solutions in artificial intelligence or web-crawling, the graph to be traversed is often either too large to visit in its entirety or infinite.

1.      PROGRAM:
#include<stdio.h>

void DFS(int);
int G[10][10],visited[10],n;    //n is no of vertices and graph is sorted in array G[10][10]

void main()
{
    int i,j;
    printf("Enter number of vertices:");
  
    scanf("%d",&n);

    //read the adjecency matrix
    printf("\nEnter adjecency matrix of the graph:");
  
    for(i=0;i<n;i++)
       for(j=0;j<n;j++)
            scanf("%d",&G[i][j]);

    //visited is initialized to zero
   for(i=0;i<n;i++)
        visited[i]=0;

    DFS(0);
}

void DFS(int i)
{
    int j;
    printf("\n%d",i);
    visited[i]=1;
   
    for(j=0;j<n;j++)
       if(!visited[j]&&G[i][j]==1)
            DFS(j);
}

5. OUTPUT:
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6. conclusion:
Thus we studied Depth first search program and executed successfully.
7. Discussion Questions:
1) what is Depth first search?
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2)   What is difference between BFS and DFS?
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3)   What is the complexity of DFS?

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About Me

Hi, I am Prof. Amol Zade, working in the field of teaching and research from last more than 10 years. My area of interests are Artificial Intelligence, Wireless Networking, Algorithms. I have 16 International paper publications along with 4 International Conference; also 3 Books published. published on Object Oriented Programming with open source approach.