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Bfs and Dfs

The document contains C code for implementing a graph data structure using adjacency lists, along with Depth-First Search (DFS) and Breadth-First Search (BFS) algorithms. It includes functions for creating nodes, adding edges, printing the graph, and traversing it using both DFS and BFS. Additionally, it defines a queue structure for managing BFS traversal.

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0% found this document useful (0 votes)
8 views7 pages

Bfs and Dfs

The document contains C code for implementing a graph data structure using adjacency lists, along with Depth-First Search (DFS) and Breadth-First Search (BFS) algorithms. It includes functions for creating nodes, adding edges, printing the graph, and traversing it using both DFS and BFS. Additionally, it defines a queue structure for managing BFS traversal.

Uploaded by

shailaja.cse
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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struct node {

int vertex;
struct node* next;
};

struct node* createNode(int v);

struct Graph {
int numVertices;
int* visited;

// We need int** to store a two dimensional array.


// Similary, we need struct node** to store an array of Linked lists
struct node** adjLists;
};
// DFS algo
void DFS(struct Graph* graph, int vertex) {
struct node* adjList = graph->adjLists[vertex];
struct node* temp = adjList;

graph->visited[vertex] = 1;
printf("Visited %d \n", vertex);

while (temp != NULL) {


int connectedVertex = temp->vertex;

if (graph->visited[connectedVertex] == 0) {
DFS(graph, connectedVertex);
}
temp = temp->next;
}
}

// Create a node
struct node* createNode(int v) {
struct node* newNode = malloc(sizeof(struct node));
newNode->vertex = v;
newNode->next = NULL;
return newNode;
}

// Create graph
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;
}

// Add edge
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


newNode = createNode(src);
newNode->next = graph->adjLists[dest];
graph->adjLists[dest] = newNode;
}

// Print the graph


void printGraph(struct Graph* graph) {
int v;
for (v = 0; v < graph->numVertices; v++) {
struct node* temp = graph->adjLists[v];
printf("\n Adjacency list of vertex %d\n ", v);
while (temp) {
printf("%d -> ", temp->vertex);
temp = temp->next;
}
printf("\n");
}
}

int main() {
struct Graph* graph = createGraph(4);
addEdge(graph, 0, 1);
addEdge(graph, 0, 2);
addEdge(graph, 1, 2);
addEdge(graph, 2, 3);

printGraph(graph);

DFS(graph, 2);

return 0;
}
struct queue {
int items[SIZE];
int front;
int rear;
};

struct queue* createQueue();


void enqueue(struct queue* q, int);
int dequeue(struct queue* q);
void display(struct queue* q);
int isEmpty(struct queue* q);
void printQueue(struct queue* q);

struct node {
int vertex;
struct node* next;
};

struct node* createNode(int);

struct Graph {
int numVertices;
struct node** adjLists;
int* visited;
};

// BFS algorithm
void bfs(struct Graph* graph, int startVertex) {
struct queue* q = createQueue();

graph->visited[startVertex] = 1;
enqueue(q, startVertex);

while (!isEmpty(q)) {
printQueue(q);
int currentVertex = dequeue(q);
printf("Visited %d\n", currentVertex);

struct node* temp = graph->adjLists[currentVertex];

while (temp) {
int adjVertex = temp->vertex;

if (graph->visited[adjVertex] == 0) {
graph->visited[adjVertex] = 1;
enqueue(q, adjVertex);
}
temp = temp->next;
}
}
}

// Creating a node
struct node* createNode(int v) {
struct node* newNode = malloc(sizeof(struct node));
newNode->vertex = v;
newNode->next = NULL;
return newNode;
}

// Creating a graph
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;
}

// Add edge
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
newNode = createNode(src);
newNode->next = graph->adjLists[dest];
graph->adjLists[dest] = newNode;
}

// Create a queue
struct queue* createQueue() {
struct queue* q = malloc(sizeof(struct queue));
q->front = -1;
q->rear = -1;
return q;
}

// Check if the queue is empty


int isEmpty(struct queue* q) {
if (q->rear == -1)
return 1;
else
return 0;
}

// Adding elements into 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;
}
}

// Removing elements 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) {
printf("Resetting queue ");
q->front = q->rear = -1;
}
}
return item;
}

// Print the queue


void printQueue(struct queue* q) {
int i = q->front;

if (isEmpty(q)) {
printf("Queue is empty");
} else {
printf("\nQueue contains \n");
for (i = q->front; i < q->rear + 1; i++) {
printf("%d ", q->items[i]);
}
}
}

int main() {
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;
}

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