Example 1: breadth first traversal python program
class Graph:
def __init__(self):
# dictionary containing keys that map to the corresponding vertex object
self.vertices = {}
def add_vertex(self, key):
"""Add a vertex with the given key to the graph."""
vertex = Vertex(key)
self.vertices[key] = vertex
def get_vertex(self, key):
"""Return vertex object with the corresponding key."""
return self.vertices[key]
def __contains__(self, key):
return key in self.vertices
def add_edge(self, src_key, dest_key, weight=1):
"""Add edge from src_key to dest_key with given weight."""
self.vertices[src_key].add_neighbour(self.vertices[dest_key], weight)
def does_edge_exist(self, src_key, dest_key):
"""Return True if there is an edge from src_key to dest_key."""
return self.vertices[src_key].does_it_point_to(self.vertices[dest_key])
def __iter__(self):
return iter(self.vertices.values())
class Vertex:
def __init__(self, key):
self.key = key
self.points_to = {}
def get_key(self):
"""Return key corresponding to this vertex object."""
return self.key
def add_neighbour(self, dest, weight):
"""Make this vertex point to dest with given edge weight."""
self.points_to[dest] = weight
def get_neighbours(self):
"""Return all vertices pointed to by this vertex."""
return self.points_to.keys()
def get_weight(self, dest):
"""Get weight of edge from this vertex to dest."""
return self.points_to[dest]
def does_it_point_to(self, dest):
"""Return True if this vertex points to dest."""
return dest in self.points_to
class Queue:
def __init__(self):
self.items = []
def is_empty(self):
return self.items == []
def enqueue(self, data):
self.items.append(data)
def dequeue(self):
return self.items.pop(0)
def display_bfs(vertex):
"""Display BFS Traversal starting at vertex."""
visited = set()
q = Queue()
q.enqueue(vertex)
visited.add(vertex)
while not q.is_empty():
current = q.dequeue()
print(current.get_key(), end=' ')
for dest in current.get_neighbours():
if dest not in visited:
visited.add(dest)
q.enqueue(dest)
g = Graph()
print('Menu')
print('add vertex <key>')
print('add edge <src> <dest>')
print('bfs <vertex key>')
print('display')
print('quit')
while True:
do = input('What would you like to do? ').split()
operation = do[0]
if operation == 'add':
suboperation = do[1]
if suboperation == 'vertex':
key = int(do[2])
if key not in g:
g.add_vertex(key)
else:
print('Vertex already exists.')
elif suboperation == 'edge':
src = int(do[2])
dest = int(do[3])
if src not in g:
print('Vertex {} does not exist.'.format(src))
elif dest not in g:
print('Vertex {} does not exist.'.format(dest))
else:
if not g.does_edge_exist(src, dest):
g.add_edge(src, dest)
else:
print('Edge already exists.')
elif operation == 'bfs':
key = int(do[1])
print('Breadth-first Traversal: ', end='')
vertex = g.get_vertex(key)
display_bfs(vertex)
print()
elif operation == 'display':
print('Vertices: ', end='')
for v in g:
print(v.get_key(), end=' ')
print()
print('Edges: ')
for v in g:
for dest in v.get_neighbours():
w = v.get_weight(dest)
print('(src={}, dest={}, weight={}) '.format(v.get_key(),
dest.get_key(), w))
print()
elif operation == 'quit':
break
Example 2: BFS AND DFS IN C
#include<stdio.h>
#include<stdlib.h>
#define MAX 100
#define initial 1
#define waiting 2
#define visited 3
int n;
int adj[MAX][MAX];
int state[MAX];
void create_graph();
void BF_Traversal();
void BFS(int v);
int queue[MAX], front = -1,rear = -1;
void insert_queue(int vertex);
int delete_queue();
int isEmpty_queue();
int main()
{
create_graph();
BF_Traversal();
return 0;
}
void BF_Traversal()
{
int v;
for(v=0; v<n; v++)
state[v] = initial;
printf("Enter Start Vertex for BFS: \n");
scanf("%d", &v);
BFS(v);
}
void BFS(int v)
{
int i;
insert_queue(v);
state[v] = waiting;
while(!isEmpty_queue())
{
v = delete_queue( );
printf("%d ",v);
state[v] = visited;
for(i=0; i<n; i++)
{
if(adj[v][i] == 1 && state[i] == initial)
{
insert_queue(i);
state[i] = waiting;
}
}
}
printf("\n");
}
void insert_queue(int vertex)
{
if(rear == MAX-1)
printf("Queue Overflow\n");
else
{
if(front == -1)
front = 0;
rear = rear+1;
queue[rear] = vertex ;
}
}
int isEmpty_queue()
{
if(front == -1 || front > rear)
return 1;
else
return 0;
}
int delete_queue()
{
int delete_item;
if(front == -1 || front > rear)
{
printf("Queue Underflow\n");
exit(1);
}
delete_item = queue[front];
front = front+1;
return delete_item;
}
void create_graph()
{
int count,max_edge,origin,destin;
printf("Enter number of vertices : ");
scanf("%d",&n);
max_edge = n*(n-1);
for(count=1; count<=max_edge; count++)
{
printf("Enter edge %d( -1 -1 to quit ) : ",count);
scanf("%d %d",&origin,&destin);
if((origin == -1) && (destin == -1))
break;
if(origin>=n || destin>=n || origin<0 || destin<0)
{
printf("Invalid edge!\n");
count--;
}
else
{
adj[origin][destin] = 1;
}
}
}
Example 3: BFS in c++
#include<iostream>
#include <list>
using namespace std;
class Graph
{
int V;
list<int> *adj;
public:
Graph(int V);
void addEdge(int v, int w);
void BFS(int s);
};
Graph::Graph(int V)
{
this->V = V;
adj = new list<int>[V];
}
void Graph::addEdge(int v, int w)
{
adj[v].push_back(w);
}
void Graph::BFS(int s)
{
bool *visited = new bool[V];
for(int i = 0; i < V; i++)
visited[i] = false;
list<int> queue;
visited[s] = true;
queue.push_back(s);
list<int>::iterator i;
while(!queue.empty())
{
s = queue.front();
cout << s << " ";
queue.pop_front();
for (i = adj[s].begin(); i != adj[s].end(); ++i)
{
if (!visited[*i])
{
visited[*i] = true;
queue.push_back(*i);
}
}
}
}
int main()
{
Graph g(4);
g.addEdge(0, 1);
g.addEdge(0, 2);
g.addEdge(1, 2);
g.addEdge(2, 0);
g.addEdge(2, 3);
g.addEdge(3, 3);
cout << "Following is Breadth First Traversal "
<< "(starting from vertex 2) \n";
g.BFS(2);
return 0;
}
Example 4: bfs algorithm
function breadthFirstSearch (Start, Goal)
{
enqueue(Queue,Start)
setVisited(start)
while notEmpty(Queue)
{
Node := dequeue(Queue)
if Node = Goal
{
return Node
}
for each Child in Expand(Node)
{
if notVisited(Child)
{
setVisited(Child)
enqueue(Queue, Child)
}
}
}
}