二叉树-遍历算法

先序遍历

思路：先根节点->左子树->右子树；
二叉树如下图：

二叉树遍历算法

/**
 * TreeSearch 简要描述
 * 
 TODO:描述该类职责 
 *
 * @author ckmike
 * @version 1.0
 * @date 18-12-6 下午10:13
 * @copyright ckmike
 **/
public class TreeSearch {

    // 节点数据结构
    class TreeNode{
        private String value = null;
        private TreeNode leftchildren = null;
        private TreeNode rightchildre = null;

        public TreeNode(String value, TreeNode leftchildren, TreeNode rightchildre) {
            this.value = value;
            this.leftchildren = leftchildren;
            this.rightchildre = rightchildre;
        }

        public TreeNode(String value) {
            this.value = value;
        }

        public void setValue(String value) {
            this.value = value;
        }

        public void setLeftchildren(TreeNode leftchildren) {
            this.leftchildren = leftchildren;
        }

        public void setRightchildre(TreeNode rightchildre) {
            this.rightchildre = rightchildre;
        }

        public String getValue() {
            return value;
        }

        public TreeNode getLeftchildren() {
            return leftchildren;
        }

        public TreeNode getRightchildre() {
            return rightchildre;
        }
    }

    public TreeNode getTargetTree() {
        // 叶子节点
        TreeNode G = new TreeNode("G");
        TreeNode D = new TreeNode("D");
        TreeNode E = new TreeNode("E",G,null);
        TreeNode B = new TreeNode("B",D,E);
        TreeNode H = new TreeNode("H");
        TreeNode I = new TreeNode("I");
        TreeNode F = new TreeNode("F",H,I);
        TreeNode C = new TreeNode("C",null,F);
        // 构造根节点
        TreeNode root = new TreeNode("A",B,C);
        return root;
    }

    // 先序遍历二叉树
    public void preorderVistTreeNode(TreeNode node){
        if(null != node){
            System.out.print(node.value);
            if(null != node.leftchildren){
                preorderVistTreeNode(node.leftchildren);
            }
            if(null != node.rightchildre){
                preorderVistTreeNode(node.rightchildre);
            }
        }
    }

    public static void main(String[] args) {
       TreeSearch treeSearch = new TreeSearch();
       TreeNode tree= treeSearch.getTargetTree();
       treeSearch.preorderVistTreeNode(tree);
    }
}

二叉树遍历算法

先序遍历结果：ABDEGCFHI

中序遍历

思路：先左子树->根节点->右子树；

    // 中序遍历
    public void inorderVistTreeNode(TreeNode node){
        if(null != node){
            if(null != node.leftchildren){
                inorderVistTreeNode(node.leftchildren);
            }
            System.out.print(node.value);
            if(null != node.rightchildre){
                inorderVistTreeNode(node.rightchildre);
            }
        }
    }

    public static void main(String[] args) {
       TreeSearch treeSearch = new TreeSearch();
       TreeNode tree= treeSearch.getTargetTree();
        System.out.print("中序遍历:");
       treeSearch.inorderVistTreeNode(tree);
    }

二叉树遍历算法

中序遍历结果:DBGEACHFI

后序遍历

思路：先左子树->右子树->根节点；

    // 后序遍历
    public void postorderVistTreeNode(TreeNode node){
        if(null != node){
            if(null != node.leftchildren){
                postorderVistTreeNode(node.leftchildren);
            }
            if(null != node.rightchildre){
                postorderVistTreeNode(node.rightchildre);
            }
            System.out.print(node.value);
        }
    }

    public static void main(String[] args) {
       TreeSearch treeSearch = new TreeSearch();
       TreeNode tree= treeSearch.getTargetTree();
        System.out.print("后序遍历:");
       treeSearch.postorderVistTreeNode(tree);
    }

二叉树遍历算法

后序遍历结果：DGEBHIFCA

层序遍历

思路：先根节点，然后第二层，第三层，依次往下走，（同层节点从左往右输出）;

// 层序遍历
    public void levelorderVistTreeNode(TreeNode node){
        if(null != node){
            LinkedList list = new LinkedList();
            list.add(node);
            TreeNode currentNode;
            while (!list.isEmpty()){
                currentNode = list.poll();
                System.out.print(currentNode.value);
                if(null != currentNode.leftchildren){
                    list.add(currentNode.leftchildren);
                }
                if(null != currentNode.rightchildre){
                    list.add(currentNode.rightchildre);
                }
            }
        }
    }

    public static void main(String[] args) {
       TreeSearch treeSearch = new TreeSearch();
       TreeNode tree= treeSearch.getTargetTree();
        System.out.print("层序遍历:");
       treeSearch.levelorderVistTreeNode(tree);
    }

二叉树遍历算法

层序遍历：ABCDEFGHI

这里要注意一点就是层序遍历二叉树，是非递归的队列实现的，就是利用队列的先进先出（FIFO）实现的。那么写到这里就把先序遍历、中序遍历、后序遍历、层序遍历二叉树的算法都写完了，是不是很简单。如果有兴趣可以想想有没有不用递归实现先、中、后序遍历的算法，用你熟悉的语言编写出来，写出来了记得分享出来哟。

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本文转自https://blog.51cto.com/4837471/2327322