/*
This is an implementation that collects the
values of the nodes of a binary tree by performing
a breadth first search through the tree.
Let n be the number of binary tree nodes
Time complexity: O(n)
Space complexity: O(n)
*/
import java.util.List;
import java.util.ArrayList;
import java.util.Deque;
import java.util.ArrayDeque;
public class BreadthFirstSearch {
private BTNode BTRoot;
public BreadthFirstSearch() {
/*
* Create tree below:
* * 1
* /
* 2 3
* * /
* * 4 5
*/
BTRoot = new BTNode(1, null, null);
BTNode rootLeft = new BTNode(2, null, null);
BTRoot.left = rootLeft;
BTNode rootRight = new BTNode(3, null, null);
BTRoot.right = rootRight;
BTNode rootRightLeft = new BTNode(4, null, null);
BTNode rootRightRight = new BTNode(5, null, null);
rootRight.left = rootRightLeft;
rootRight.right = rootRightRight;
}
public static void main(String[] args) {
BreadthFirstSearch application = new BreadthFirstSearch();
List<Integer> values = application.bfsTraversal();
System.out.println(values); // [1, 2, 3, 4, 5]
}
// Perform breadth first traversal through the tree.
public List<Integer> bfsTraversal() {
List<Integer> list = new ArrayList<>();
populateList(BTRoot, list);
return list;
}
// Helper method to populate list by performing
// breadth first search through the tree.
private void populateList(BTNode root, List<Integer> list) {
if (root == null) {
return;
}
Deque<BTNode> queue = new ArrayDeque<>();
BTNode current;
queue.add(root);
while (!queue.isEmpty()) {
current = queue.removeFirst();
list.add(current.val);
if (current.left != null) {
queue.add(current.left);
}
if (current.right != null) {
queue.add(current.right);
}
}
}
// Class representing a binary tree node
// with pointers to value, left, and right nodes
private class BTNode {
int val;
BTNode left;
BTNode right;
public BTNode(int val, BTNode left, BTNode right) {
this.val = val;
this.left = left;
this.right = right;
}
}
}
import java.io.*;
import java.util.*;
class Graph
{
private int V; //number of nodes in the graph
private LinkedList<Integer> adj[]; //adjacency list
private Queue<Integer> queue; //maintaining a queue
Graph(int v)
{
V = v;
adj = new LinkedList[v];
for (int i=0; i<v; i++)
{
adj[i] = new LinkedList<>();
}
queue = new LinkedList<Integer>();
}
void addEdge(int v,int w)
{
adj[v].add(w); //adding an edge to the adjacency list (edges are bidirectional in this example)
}
void BFS(int n)
{
boolean nodes[] = new boolean[V]; //initialize boolean array for holding the data
int a = 0;
nodes[n]=true;
queue.add(n); //root node is added to the top of the queue
while (queue.size() != 0)
{
n = queue.poll(); //remove the top element of the queue
System.out.print(n+" "); //print the top element of the queue
for (int i = 0; i < adj[n].size(); i++) //iterate through the linked list and push all neighbors into queue
{
a = adj[n].get(i);
if (!nodes[a]) //only insert nodes into queue if they have not been explored already
{
nodes[a] = true;
queue.add(a);
}
}
}
}
public static void main(String args[])
{
Graph graph = new Graph(6);
graph.addEdge(0, 1);
graph.addEdge(0, 3);
graph.addEdge(0, 4);
graph.addEdge(4, 5);
graph.addEdge(3, 5);
graph.addEdge(1, 2);
graph.addEdge(1, 0);
graph.addEdge(2, 1);
graph.addEdge(4, 1);
graph.addEdge(3, 1);
graph.addEdge(5, 4);
graph.addEdge(5, 3);
System.out.println("The Breadth First Traversal of the graph is as follows :");
graph.BFS(0);
}
}