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#include<stdio.h>

#include<conio.h>

#include<alloc.h>

#include<process.h>

#include<string.h>

#define MAX 20

typedef struct queue

{

int data;

struct queue *next;

}queue;

typedef struct stack

{

int data;

struct stack *next;

}stack;

typedef struct adj_list

{

int vertex;

struct adj_list *next;

}adj_list;

adj_list *G[MAX];

int queue_empty(queue *front,queue *rear)

{

if(front==NULL && rear==NULL)

return 1;

else

return 0;

}

queue* getnode()

{

queue *newnode;

newnode = (queue*)malloc(sizeof(queue));

newnode->next = NULL;

return newnode;

}

void enqueue(queue **front, queue **rear, int data)

{

queue *newnode;

newnode = getnode();

newnode->data = data;

if(queue_empty(*front,*rear))

{

*front = *rear = newnode;

}

else

{

(*rear)->next = newnode;

(*rear) = newnode;

}

}

int dequeue(queue **front,queue **rear)

{

int data;

queue *temp;

if(queue_empty(*front,*rear))

return 0;

temp = *front;

data = (*front)->data;

if(*front==*rear)

{

*front = *rear = NULL;

}

else

{

*front = (*front)->next;

}

free(temp);

return data;

}

stack* create_node()

{

stack *newnode;

newnode = (stack*)malloc(sizeof(stack));

newnode->next = NULL;

return newnode;

}

void push(stack **top, int data)

{

stack *newnode;

newnode = create_node();

newnode->data = data;

newnode->next = *top;

*top = newnode;

}

int pop(stack **top)

{

stack *temp;

int data;

temp = *top;

data = (*top)->data;

*top = (*top)->next;

free(temp);

return data;

}

int stack_empty(stack *top)

{

if(top==NULL)

return 1;

else

return 0;

}

void insert(int vi, int vj)

{

adj_list *temp,*newnode;

newnode=(adj_list*)malloc(sizeof(adj_list));

newnode->vertex = vj;

newnode->next=NULL;

if(G[vi]==NULL)

{

G[vi]=newnode;

}

else

{

temp = G[vi];

while(temp->next!=NULL)

{

temp = temp->next;

}

temp->next = newnode;

}

}

void create(int count,char location[MAX][MAX])

{

int i,edges, vi,vj;

for(i=0;i<count;i++)

{

printf("\nEnter the name of node %d\t",i);

flushall();

scanf("%s",location[i]);

G[i] = NULL;

}

printf("\nEnter number of edges\t");

scanf("%d",&edges);

for(i=0;i<edges;i++)

{

printf("\nEnter the edge (node u,node v)\t");

scanf("d",&vi,&vj);

insert(vi,vj);

insert(vi,vj);

}

}

void BFS(int v,int count,char location[MAX][MAX])

{

int w,i,visited[MAX];

queue *front=NULL,*rear=NULL;

adj_list *temp;

for(i=0;i<count;i++)

{

visited[i]=0;

}

enqueue(&front,&rear,v);

printf("\n%s",location[v]);

visited[v]=1;

while(!queue_empty(front,rear))

{

v = dequeue(&front,&rear);

for(temp=G[v];temp!=NULL;temp=temp->next)

{

w = temp->vertex;

if(visited[w]==0)

{

enqueue(&front,&rear,w);

visited[w]=1;

printf("\n%s",location[w]);

}

}

}

}

void DFS(int v,int count,char location[MAX][MAX])

{

adj_list *temp;

int visited[MAX],j,w;

stack *top=NULL;

for(j=0;j<count;j++)

{

visited[j]=0;

}

push(&top,v);

visited[v]=1;

while(!stack_empty(top))

{

w = pop(&top);

printf("\n%s",location[w]);

for(temp=G[w];temp!=NULL;temp=temp->next)

{

if(visited[temp->vertex]==0)

{

push(&top,temp->vertex);

visited[temp->vertex]=1;

}

}

}

}

int search(char location[MAX][MAX], char item[MAX])

{

int i;

for(i=0;i<MAX;i++)

{

if(stricmp(item,location[i])==0) /*string found*/

return i;

}

return -1;

}

void main()

{

int ch,count,i;

char location[MAX][MAX],start[MAX];

do

{

clrscr();

printf("\n*** MENU ***");

printf("\n1.Create");

printf("\n2.Depth First Search");

printf("\n3.Breadth First Search");

printf("\n4.Exit");

printf("\n\nEnter your choice\t");

scanf("%d",&ch);

switch(ch)

{

case 1:

printf("\nEnter number of nodes\t");

scanf("%d",&count);

create(count,location);

break;

case 2:

printf("\nEnter starting place\t");

scanf("%s",start);

i = search(location,start);

if(i==-1)

printf("\nInvalid Location Entered");

else

{

printf("\nDepth First Search...\n");

DFS(i,count,location);

}

break;

case 3:

printf("\nEnter starting place\t");

scanf("%s",start);

i = search(location,start);

if(i==-1)

printf("\nInvalid Location Entered");

else

{

printf("\nBreadth First Search...\n");

BFS(i,count,location);

}

break;

case 4:exit(0);

default:printf("\nPlease enter proper choice!!!");

}

getch();

}while(1);

}

This program performs both DFS and BFS operations.

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Prove that if a DFS and BFS trees in graph G are the same than?

ok here we go...Proof:If the some graph G has the same DFS and BFS then that means that G should not have any cycle(work out for any G with a cycle u will never get the same BFS and DFS .... and for a graph without any cycle u will get the same BFS/DFS).We will prove it by contradiction:So say if T is the tree obtained by BFS/DFS, and let us assume that G has atleast one edge more than T. So one more edge to T(T is a tree) would result in a cycle in G, but according to the above established principle no graph which has a cycle would result the same DFS and BFS, so out assumption is a contradiction.Hence G should have more edges than T, which implies that if the BFS and DFS for a graph G are the same then the G = T.Hope this helps u......................


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Related Questions

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dfs better then from bfs..


What is the population of BFS Group Ltd?

The population of BFS Group Ltd is 4,200.


Can anyone be jb bfs?

No. why


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Should you capitalize he is the president of a the BFS?

No you don't.


Is BFS recursive?

No, Breadth-First Search (BFS) is not inherently recursive. It is typically implemented using a queue data structure rather than recursion.


Write a program to solve bfs in c language?

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