TheAlgorithms-C/data_structures/graphs/BFS.c
2019-09-14 20:20:03 +05:30

189 lines
4.5 KiB
C

#include <stdio.h>
#include <stdlib.h>
#define SIZE 40
//Assume max size of graph is 40 nodes
struct queue {
int items[SIZE];
int front;
int rear;
};
//Some declarations
struct queue* createQueue();
void enqueue(struct queue* q, int);
int dequeue(struct queue* q);
void display(struct queue* q);
int isEmpty(struct queue* q);
int pollQueue(struct queue* q);
//Structure to create a graph node
struct node
{
int vertex;
struct node* next;
};
struct node* createNode(int);
//Graph data structure
struct Graph
{
int numVertices;
struct node** adjLists;
int* visited;
};
struct Graph* createGraph(int vertices);
void addEdge(struct Graph* graph, int src, int dest);
void printGraph(struct Graph* graph);
void bfs(struct Graph* graph, int startVertex);
int main()
{
int vertices,edges,source,i,src,dst;
printf("Enter the number of vertices\n");
scanf("%d",&vertices);
struct Graph* graph = createGraph(vertices);
printf("Enter the number of edges\n");
scanf("%d",&edges);
for(i=0; i<edges; i++)
{
printf("Edge %d \nEnter source: ",i+1);
scanf("%d",&src);
printf("Enter destination: ");
scanf("%d",&dst);
addEdge(graph, src, dst);
}
printf("Enter source of bfs\n");
scanf("%d",&source);
bfs(graph, source);
//Uncomment below part to get a ready-made example
/*struct Graph* graph = createGraph(6);
addEdge(graph, 0, 1);
addEdge(graph, 0, 2);
addEdge(graph, 1, 2);
addEdge(graph, 1, 4);
addEdge(graph, 1, 3);
addEdge(graph, 2, 4);
addEdge(graph, 3, 4);
bfs(graph,0);*/
return 0;
}
void bfs(struct Graph* graph, int startVertex)
{
struct queue* q = createQueue();
//Add to visited list and put in queue
graph->visited[startVertex] = 1;
enqueue(q, startVertex);
printf("Breadth first traversal from vertex %d is:\n",startVertex);
//Iterate while queue not empty
while(!isEmpty(q)){
printf("%d ",pollQueue(q));
int currentVertex = dequeue(q);
struct node* temp = graph->adjLists[currentVertex];
//Add all unvisited neighbours of current vertex to queue to be printed next
while(temp) {
int adjVertex = temp->vertex;
//Only add if neighbour is unvisited
if(graph->visited[adjVertex] == 0){
graph->visited[adjVertex] = 1;
enqueue(q, adjVertex);
}
temp = temp->next;
}
}
}
//Memory for a graph node
struct node* createNode(int v)
{
struct node* newNode = malloc(sizeof(struct node));
newNode->vertex = v;
newNode->next = NULL;
return newNode;
}
//Allocates memory for graph data structure, in adjacency list format
struct Graph* createGraph(int vertices)
{
struct Graph* graph = malloc(sizeof(struct Graph));
graph->numVertices = vertices;
graph->adjLists = malloc(vertices * sizeof(struct node*));
graph->visited = malloc(vertices * sizeof(int));
int i;
for (i = 0; i < vertices; i++) {
graph->adjLists[i] = NULL;
graph->visited[i] = 0;
}
return graph;
}
//Adds bidirectional edge to graph
void addEdge(struct Graph* graph, int src, int dest)
{
// Add edge from src to dest
struct node* newNode = createNode(dest);
newNode->next = graph->adjLists[src];
graph->adjLists[src] = newNode;
// Add edge from dest to src; comment it out for directed graph
newNode = createNode(src);
newNode->next = graph->adjLists[dest];
graph->adjLists[dest] = newNode;
}
//Allocates memory for our queue data structure
struct queue* createQueue()
{
struct queue* q = malloc(sizeof(struct queue));
q->front = -1;
q->rear = -1;
return q;
}
//Checks for empty queue
int isEmpty(struct queue* q)
{
if(q->rear == -1)
return 1;
else
return 0;
}
//Inserts item at start of queue
void enqueue(struct queue* q, int value)
{
if(q->rear == SIZE-1)
printf("\nQueue is Full!!");
else {
if(q->front == -1)
q->front = 0;
q->rear++;
q->items[q->rear] = value;
}
}
//Returns item at front of queue and removes it from queue
int dequeue(struct queue* q)
{
int item;
if(isEmpty(q)){
printf("Queue is empty");
item = -1;
}
else{
item = q->items[q->front];
q->front++;
if(q->front > q->rear){
q->front = q->rear = -1;
}
}
return item;
}
//Returns element at front of queue
int pollQueue(struct queue *q)
{
return q->items[q->front];
}