How Do You Create a Binary Search Tree in Data Structure?

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Heather Bennett

Creating a Binary Search Tree in Data Structure

A binary search tree (BST) is a fundamental data structure used in computer science and programming. It allows for efficient searching, insertion, and deletion of elements. In this tutorial, we will explore how to create a binary search tree using HTML.

What is a Binary Search Tree?
A binary search tree is a type of binary tree where each node has at most two children: a left child and a right child. The key property of a BST is that the value of every node in the left subtree is less than its parent, and the value of every node in the right subtree is greater than its parent.

Creating the HTML Structure
To begin creating our binary search tree using HTML, we will start with an empty container element. Let’s use a

element with an id attribute to uniquely identify it:

Now that we have our container, we can proceed to create the necessary JavaScript functions to handle the insertion and display of nodes.

Inserting Nodes into the Binary Search Tree

To insert nodes into our BST, we need to implement an insert function. This function will take care of finding the correct position for each new node based on its value.

  • Create an empty JavaScript file (e.g., bst.js) and include it in your HTML document.
  • In bst.js, define a Node class that represents each node in the BST. Each node should have properties for storing its value, left child, and right child.
  • Create another class called BST that will contain methods for inserting nodes into the tree.
  • In the BST class, define an insert method that takes a value as its parameter.
  • Inside the insert method:
    • Create a new node with the given value.
    • If the tree is empty (i.e., the root is null), set the new node as the root.
    • Otherwise, start from the root and traverse down the tree.
    • If the value of the new node is less than the current node’s value, move to its left child.
    • If the left child is null, insert the new node here.
    • If the value of the new node is greater than or equal to the current node’s value, move to its right child.
    • If the right child is null, insert the new node here.

Displaying Nodes in Preorder

Once we have inserted nodes into our BST, it’s essential to be able to display them. One way to display them is by using a preorder traversal.

  • In bst.js, add a method called preOrderTraversal to your BST class.
  • Inside this method:
    • Start from the root and recursively traverse through each node in a pre-order manner (root-left-right).
    • Display or store each visited node’s value as desired.

Putting It All Together

Now that we have implemented both insertion and display functionality in our binary search tree, let’s see how it all comes together:

Step 1: Create an instance of BST.

Step 2: Insert nodes into your binary search tree using your BST object’s insert method.

Step 3: Display or store nodes using your BST object’s preOrderTraversal method.

By following these steps, you can successfully create a binary search tree using HTML and JavaScript.

In conclusion, understanding how to create a binary search tree is essential for mastering data structures and algorithms. By utilizing HTML’s styling elements like for bold, for underline,

    and

  • for lists, and

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    for subheaders, we can make our tutorial visually engaging and organized. Remember to structure your code properly by using appropriate HTML tags and CSS styles to enhance readability. Happy coding!