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Q. Write down the algorithm which does depth first search through an un-weighted connected graph. In an un-weighted graph, would breadth first search or depth first search or neither find a shortest path tree from some of the node? Why?
Ans:
An algorithm that does depth first search is written below:
struct node
{
int data ;
struct node *next ;
} ; int visited[MAX] ;
void dfs ( int v, struct node **p )
struct node *q ;
visited[v - 1] = TRUE ;
printf ( "%d\t", v ) ; q = * ( p + v - 1 ) ; while ( q != NULL )
if ( visited[q -> data - 1] == FALSE )
dfs ( q -> data, p ) ;
else
q = q -> next ;}
}
Breadth-first search starts at a given vertex h, which is at level 0. In the first stage, we go to all the vertices that are at the distance of one edge away. When we go there, we
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