Java二叉树链表的建立及四种遍历方法

package Test;
 
import java.util.Iterator;
import java.util.LinkedList;
import java.util.Queue;
 
//二叉树树类
public class BinaryTree {
 
    public TreeNode root;   //有一个根节点
    public static int index;
 
    public TreeNode CreateBTree(char[] a) {
        TreeNode root = null;
        if (index==a.length ) {
        	index=index-1;
        			}
        if (a[index] != '#') {
            root = new TreeNode(a[index]);
            index++;
            root.setLChild(CreateBTree(a));
            index++;
            root.setRChild(CreateBTree(a));
        }
        return root;
 
    }
 
    //先序遍历
    public void prevOrder(TreeNode root) {
        if (root == null) {
            return;
        }
        System.out.print(root.getData() + ",");
        prevOrder(root.getLChild());
        prevOrder(root.getRChild());
    }
 
    // 中序遍历
    public void midOrder(TreeNode root) {
        if (root == null) {
            return;
        }
        midOrder(root.getLChild());
        System.out.print(root.getData() + ",");
        midOrder(root.getRChild());
    }
 
    // 后序遍历
    public void postOrder(TreeNode root) {
        if (root == null) {
            return;
        }
        postOrder(root.getLChild());
        postOrder(root.getRChild());
        System.out.print(root.getData() + ",");
    }
 
    // 获取树大小
    private int getSize(TreeNode node) {
        if (node == null) {
            return 0;
        } else {
            return 1 + getSize(node.leftChild) + getSize(node.rightChild);
        }
    }
 
    /*求二叉树的高*/
    public int getHeight() {
        return getHeight(this.root);
    }
 
    private int getHeight(TreeNode node) {
        if (node != null) { //左子树和右子树中谁大返回谁
            int i = getHeight(node.leftChild);
            int j = getHeight(node.rightChild);
            return (i > j) ? i + 1 : j + 1;
        } else {
            return 0;
        }
    }
 
    //获得叶子数
    public int getLeaf(TreeNode node) {
        if (node == null) {
            return 0;
        }
        if (node.leftChild == null && node.rightChild == null) {
            System.out.println("Leaf node: " + node.getData());
            return 1;
        } else {
            return getLeaf(node.leftChild) + getLeaf(node.rightChild);
        }
 
    }
 
    //获得第K层节点数
    public int getNodeKNum(TreeNode node, int k) {
        if (k == 1) {
            if (node == null)
                return 0;
            System.out.println("K Node:" + node.getData());
            return 1;
        }
        return getNodeKNum(node.getLChild(), k - 1) + getNodeKNum(node.getRChild(), k - 1);
    }
 
    //查找某个节点
    public TreeNode findNode(int data) {
        return findNode(this.root, data);
    }
 
    public TreeNode findNode(TreeNode node, int data) {
        if (node == null) {
            return null;
        } else if (node.getData() == data) {
            return node;
        }
        TreeNode leftNode = findNode(node.getLChild(), data);
        if (null != leftNode)
            return leftNode;
        TreeNode rightNode = findNode(node.getRChild(), data);
        if (null != rightNode)
            return rightNode;
        return null;
    }
 
    //返回某节点的父节点
    public TreeNode getParent(int data) {
        return getParent(this.root, data);
    }
 
    public TreeNode getParent(TreeNode node, int data) {
        if (node == null)
            return null;
        TreeNode childL = node.getLChild();
        TreeNode childR = node.getRChild();
        if ((childL != null && childL.getData() == data) || childR != null && childR.getData() == data)
            return node;
        TreeNode parentL = getParent(node.getLChild(), data);
        if (parentL != null)
            return parentL;
        TreeNode parentR = getParent(node.getRChild(), data);
        if (parentR != null)
            return parentR;
        return null;
    }
 
    //层次遍历，用到队列
    public void BTreeLevelOrder() {
        TreeNode root = this.root;
        Queue<TreeNode> queue = new LinkedList<TreeNode>();
        LinkedList<TreeNode> list = new LinkedList<TreeNode>();
        queue.offer(root);
        while (!queue.isEmpty()) {
            TreeNode pre = queue.poll();
            list.add(pre);
            if (pre.getLChild() != null)
                queue.offer(pre.getLChild());
            if (pre.getRChild() != null)
                queue.offer(pre.getRChild());
        }
        Iterator<TreeNode> it = list.iterator();
        while (it.hasNext()) {
            TreeNode cur = it.next();
            System.out.print(cur.getData() + ", ");
        }
    }
 
    //判断一棵树是否是完全二叉树（层次遍历的变形）
    public boolean isCompleteBTree() {
        TreeNode root = this.root;
        Queue<TreeNode> queue = new LinkedList<TreeNode>();
        queue.offer(root);
 
        while (!queue.isEmpty()) {
            TreeNode node = queue.poll();
            if (node == null)
                break;
            queue.offer(node.getLChild());
            queue.offer(node.getRChild());
 
        }
        while (!queue.isEmpty()) {
            TreeNode cur = queue.poll();
            if (cur != null)
                return false;
        }
        return true;
 
    }
 
    class TreeNode {
        private TreeNode leftChild;
        private TreeNode rightChild;
        private char data;
 
        public TreeNode(char data) {
            this.data = data;
        }
 
        public void setLChild(TreeNode left) {
            this.leftChild = left;
        }
 
        public void setRChild(TreeNode right) {
            this.rightChild = right;
        }
 
        public void setData(char data) {
            this.data = data;
        }
 
        public char getData() {
            return this.data;
        }
 
        public TreeNode getLChild() {
            return this.leftChild;
        }
 
        public TreeNode getRChild() {
            return this.rightChild;
        }
    }
 
    public static void main(String[] agrs) {
        BinaryTree tree = new BinaryTree();
        char[] a = new char[]{'A','B','D','G','#','#','H','K','#','#','#','#','C','E','#','I','L','#','#','M','#','#','F','#','J','N','#','#','#'}; 
        //  int[] a = new int[]{1,2,3,4,'#','#',5,'#','#',6,7,'#','#',8,'#','#',9,10,11,'#','#',12,'#','#','#'}; 
        //int[] a = new int[]{1,2,3,4,'#','#',5,6,'#','#','#','#',7,8,'#',9,10,'#','#',11,'#','#',12,'#',13,14,'#','#','#'}; 
        //                  1
        //                /   \
        //              2       5
        //             / \     / \
        //            3   4   6   #
        //           / \ / \ / \
        //           # # # # # #
        
        //                      1
       //                /            \
       //               2              9
       //             /    \          /  \
       //             3     6        10   #
       //           /  \   /  \     /  \
       //          4   5   7  8    11  12
      //          / \ / \ / \ / \  / \ / \    
       //         # # # # # # # #  # # # #  
        
        tree.root = tree.CreateBTree(a);
        System.out.print("前序遍历：");
        tree.prevOrder(tree.root);
        System.out.print("\n中序遍历：");
        tree.midOrder(tree.root);
        System.out.print("\n后序遍历：");
        tree.postOrder(tree.root);
        System.out.println();
        
        System.out.print("层序遍历：");
        tree.BTreeLevelOrder();
        System.out.println();
 
    }
}

二叉树模型图：

程序执行效果