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Table of Contents
What is traversal of a tree?
How to define a binary tree node?
Recursive writing of preorder, middle order and postorder traversal
Preamble traversal example:
In-order traversal example:
Post-order traversal example:
What should I pay attention to when implementing non-recursively?
What are the differences in application scenarios?
Home Java javaTutorial Tree traversal (in-order, pre-order, post-order) in Java

Tree traversal (in-order, pre-order, post-order) in Java

Jul 13, 2025 am 01:02 AM
java Tree traversal

A tree traversal refers to accessing each node in the tree once and only once in a specific order. 1. First access the root node and then traverse the left and right subtrees; 2. First access the left subtree in the middle order traverse the left and then traverse the right subtree; 3. First access the left and right subtrees in the second order traverse the left and right subtrees in the last order traverse the root node. In Java, it can be implemented through recursion or stack, where the recursion method is clear, rather than recursive implementation, it requires the stack to simulate the call process to avoid stack overflow. In terms of application scenarios, the predecessor is used to copy or serialize the tree, the middle order is suitable for the ordered output of the binary search tree, and the latter order is used to delete the tree or expression evaluation.

Tree traversal (in-order, pre-order, post-order) in Java

Implementing tree traversal (preamble, middle, and post-sequence) in Java is one of the basic contents of learning data structures. These three traversal methods are depth-first traversal, and their core difference lies in the different timings of accessing the root node.

Tree traversal (in-order, pre-order, post-order) in Java

What is traversal of a tree?

Tree traversal refers to accessing each node in the tree in some order, ensuring that each node is accessed once and only once. For binary trees, the three most common ways to traverse are:

  • Pre-order traversal : First access the root node, then recursively access the left subtree in advance, and finally access the right subtree in advance.
  • In-order traversal : First, recursively access the left subtree in the middle order, then access the root node, and finally access the right subtree in the middle order.
  • Post-order traversal : First, recursively access the left subtree in order, then access the right subtree in order, and finally access the root node.

How to define a binary tree node?

In Java, we usually define a class that represents a binary tree node:

Tree traversal (in-order, pre-order, post-order) in Java
 class TreeNode {
    int val;
    TreeNode left;
    TreeNode right;

    TreeNode(int val) {
        this.val = val;
    }
}

This class is very basic, but is sufficient to support subsequent traversal operations.


Recursive writing of preorder, middle order and postorder traversal

Recursion is the most intuitive and easy to understand. Here are the basic implementations of each traversal method:

Tree traversal (in-order, pre-order, post-order) in Java

Preamble traversal example:

 void preOrder(TreeNode root) {
    if (root == null) return;
    System.out.print(root.val " "); // Access the root node preOrder(root.left); // traverse the left subtree preOrder(root.right); // traverse the right subtree}

In-order traversal example:

 void inOrder(TreeNode root) {
    if (root == null) return;
    inOrder(root.left);
    System.out.print(root.val " ");
    inOrder(root.right);
}

Post-order traversal example:

 void postOrder(TreeNode root) {
    if (root == null) return;
    postOrder(root.left);
    postOrder(root.right);
    System.out.print(root.val " ");
}

These methods are clear in logic and concise in code, which is suitable for beginners to understand and use.


What should I pay attention to when implementing non-recursively?

Although recursion is simple to implement, it is sometimes necessary to avoid using recursion in actual development, such as stack overflow when the stack depth is too large. At this time, you can use a stack to simulate the recursive process.

Taking in-order traversal as an example, the non-recursive implementation is as follows:

 void inOrderIterative(TreeNode root) {
    Stack<TreeNode> stack = new Stack<>();
    TreeNode current = root;

    while (current != null || !stack.isEmpty()) {
        // First push all left nodes into the stack while (current != null) {
            stack.push(current);
            current = current.left;
        }

        current = stack.pop();
        System.out.print(current.val " ");
        current = current.right;
    }
}

The key points of this approach are:

  • Use while loop instead of recursive calls;
  • Clearly distinguish the timing of "access nodes" and "process nodes";
  • Pay attention to the judgment of null pointers to prevent runtime errors.

The other two traversals can also be implemented similarly, but the logic is a little more complicated.


What are the differences in application scenarios?

Although these three traversal methods are similar in structure, their application scenarios are slightly different:

  • Preorder traversal : often used to copy tree structures or serialize trees;
  • In-order traversal : If it is a binary search tree (BST), in-order traversal will output an ordered sequence;
  • Post-order traversal : suitable for scenarios such as deleting whole trees or evaluation of expressions.

For example, if you have a BST that wants to print all elements in ascending order, middle order traversal is the most suitable.


Basically that's it. Mastering these traversal methods is not only helpful for understanding the tree structure, but also the basis for many algorithm problems.

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