java算法----------二叉树的遍历

二叉树的遍历分为前序、中序、后序和层序遍历四种方式

首先先定义一个二叉树的节点

//二叉树节点
public class BinaryTreeNode {
    private int data;
    private BinaryTreeNode left;
    private BinaryTreeNode right;
    
    public BinaryTreeNode() {}

    public BinaryTreeNode(int data, BinaryTreeNode left, BinaryTreeNode right) {
        super();
        this.data = data;
        this.left = left;
        this.right = right;
    }

    public int getData() {
        return data;
    }

    public void setData(int data) {
        this.data = data;
    }

    public BinaryTreeNode getLeft() {
        return left;
    }

    public void setLeft(BinaryTreeNode left) {
        this.left = left;
    }

    public BinaryTreeNode getRight() {
        return right;
    }

    public void setRight(BinaryTreeNode right) {
        this.right = right;
    }
}

　　1、采用前序遍历（递归的方式进行遍历）

　　

import com.ccut.aaron.stack.LinkedStack;

public class BinaryTree {
    //前序遍历递归的方式
    public void preOrder(BinaryTreeNode root){
        if(null!=root){
            System.out.print(root.getData()+"	");
            preOrder(root.getLeft());
            preOrder(root.getRight());
        }
    }
    
    //前序遍历非递归的方式
    public void preOrderNonRecursive(BinaryTreeNode root){
        Stack<BinaryTreeNode> stack=new Stack<BinaryTreeNode>();
        while(true){
            while(root!=null){
                System.out.print(root.getData()+"	");
                stack.push(root);
                root=root.getLeft();
            }
            if(stack.isEmpty()) break;
            root=stack.pop();
            root=root.getRight();
        }
    }
    
    //中序遍历采用递归的方式
    public void inOrder(BinaryTreeNode root){
        if(null!=root){
            inOrder(root.getLeft());
            System.out.print(root.getData()+"	");
            inOrder(root.getRight());
        }
    }
    
    //中序遍历采用非递归的方式
    public void inOrderNonRecursive(BinaryTreeNode root){
        Stack<BinaryTreeNode> stack=new Stack<BinaryTreeNode>();
        while(true){
            while(root!=null){
                stack.push(root);
                root=root.getLeft();
            }
            if(stack.isEmpty())break;
            root=stack.pop();
            System.out.print(root.getData()+"	");
            root=root.getRight();
        }
    }
    
    //后序遍历采用递归的方式
    public void postOrder(BinaryTreeNode root){
        if(root!=null){
            postOrder(root.getLeft());
            postOrder(root.getRight());
            System.out.print(root.getData()+"	");
        }
    }
    
    //后序遍历采用非递归的方式
    public void postOrderNonRecursive(BinaryTreeNode root){
        Stack<BinaryTreeNode> stack=new Stack<BinaryTreeNode>();
        while(true){
            if(root!=null){
                stack.push(root);
                root=root.getLeft();
            }else{
                if(stack.isEmpty()) return;
                
                if(null==stack.lastElement().getRight()){
                    root=stack.pop();
                    System.out.print(root.getData()+"	");
                    while(root==stack.lastElement().getRight()){
                        System.out.print(stack.lastElement().getData()+"	");
                        root=stack.pop();
                        if(stack.isEmpty()){
                            break;
                        }
                    }
                }
                
                if(!stack.isEmpty())
                    root=stack.lastElement().getRight();
                else
                    root=null;
            }
        }
    }

    //层序遍历
    public void levelOrder(BinaryTreeNode root){
        BinaryTreeNode temp;
        Queue<BinaryTreeNode> queue=new LinkedList<BinaryTreeNode>();
        queue.offer(root);
        while(!queue.isEmpty()){
            temp=queue.poll();
            System.out.print(temp.getData()+"	");
            if(null!=temp.getLeft()) 
                queue.offer(temp.getLeft());
            if(null!=temp.getRight()){
                queue.offer(temp.getRight());
            }
        }
    }
    
    public static void main(String[] args) {
        BinaryTreeNode node10=new BinaryTreeNode(10,null,null);
        BinaryTreeNode node8=new BinaryTreeNode(8,null,null);
        BinaryTreeNode node9=new BinaryTreeNode(9,null,node10);
        BinaryTreeNode node4=new BinaryTreeNode(4,null,null);
        BinaryTreeNode node5=new BinaryTreeNode(5,node8,node9);
        BinaryTreeNode node6=new BinaryTreeNode(6,null,null);
        BinaryTreeNode node7=new BinaryTreeNode(7,null,null);
        BinaryTreeNode node2=new BinaryTreeNode(2,node4,node5);
        BinaryTreeNode node3=new BinaryTreeNode(3,node6,node7);
        BinaryTreeNode node1=new BinaryTreeNode(1,node2,node3);
        
        BinaryTree tree=new BinaryTree();
        //采用递归的方式进行遍历
        System.out.println("-----前序遍历------");
        tree.preOrder(node1);
        System.out.println();
        //采用非递归的方式遍历
        tree.preOrderNonRecursive(node1);
        System.out.println();

        
        //采用递归的方式进行遍历
        System.out.println("-----中序遍历------");
        tree.inOrder(node1);
        System.out.println();
        //采用非递归的方式遍历
        tree.inOrderNonRecursive(node1);
        System.out.println();
        
        //采用递归的方式进行遍历
        System.out.println("-----后序遍历------");
        tree.postOrder(node1);
        System.out.println();
        //采用非递归的方式遍历
        tree.postOrderNonRecursive(node1);
        System.out.println();
        
        //采用递归的方式进行遍历
        System.out.println("-----层序遍历------");
        tree.levelOrder(node1);
        System.out.println();
    }
}