Perform an iterative BFS traversal over a graph represented using an adjacency matrix.
Difficulty level
This exercise is mostly suitable for students
#include<stdio.h>
#include<stdlib.h>
#define N 20
typedef struct {
int V;
int E;
int **Adj; // since we need 2 dimensional matrix
} Graph;
typedef int element;
typedef struct
{
element data[N]; /* queue content */
int front, length;
} queue;
queue CreateQueue()
{
queue q;
q.front = 0; q.length=0;
return q;
}
int isEmptyQueue(queue q)
{
return q.length == 0;
}
int isFullQueue(queue q)
{
return q.length ==N;
}
int EnQueue(queue *q, element e)
{
if (isFullQueue(*q)) return 0;
q->data[(q->front + q->length)%N] = e;
q->length = q->length + 1;
return 1;
}
int DeQueue(queue *q)
{
if (isEmptyQueue(*q)) return 0;
q->front=(q->front + 1) % N;
q->length--;
return 1;
}
int Front(queue q, element *e)
{
if (isEmptyQueue(q)) return 0;
*e = q.data[q.front];
return 1;
}
Graph* adjacencyMatrix() {
int i, u, v;
Graph* G=(Graph*) malloc(sizeof(Graph));
printf("Enter the number of Vertices: ");
scanf("%d", &G->V);
printf("Enter the number of Edges: ");
scanf("%d", &G->E);
G->Adj = (int **)malloc(G->V * sizeof(int*));
for (u = 0; u < G->V; u++)
G->Adj[u] = (int *)malloc(G->V * sizeof(int));
for (u = 0; u<G->V; u++)
for (v = 0; v<G->V; v++)
G->Adj[u][v] = 0;
for (i = 0; i < G->E; i++) {
printf("Enter the edge: ");
scanf("%d %d", &u,&v);
// for undirected graph, set both
G->Adj[u][v] = 1;
G->Adj[v][u] = 1;
}
return G;
}
void BFSTraversal(Graph* G, int u, int Visited[]) {
int v, w;
queue q;
q = CreateQueue();
EnQueue(&q, u);
Visited[u] = 1;
while (Front(q, &v)) {
DeQueue(&q);
printf("%d ", v);
for (w = 0; w < G->V; w++)
if (!Visited[w] && G->Adj[v][w])
{
Visited[w] = 1;
EnQueue(&q, w);
}
}
}
void BFS(Graph *G) {
int i;
int *Visited;
Visited = (int *)malloc(G->V * sizeof(int));
for (i = 0; i < G->V; i++)
Visited[i] = 0;
// this loop is required if the graph has more than one component
for (i = 0; i < G->V; i++)
if (!Visited[i])
BFSTraversal(G, i, Visited);
}
void test() {
int u, v;
Graph *G = adjacencyMatrix();
BFS(G);
}
int main()
{
test();
return 0;
}
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