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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 ;}
}
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Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1) = O (n), which indicates that the time complexity is linear. Worst Case:
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