This document contains detailed notes from Lecture 9 of the CO2412 course on Computational Thinking. The lecture provides an in-depth exploration of Binary Search Trees (BSTs) and Heaps, two fundamental data structures in computer science.
Introduction to Binary Search Trees (BST)
1. Binary Tree Structure
o A Binary Tree is a hierarchical structure where each node has a
maximum of two children: a left child and a right child.
o Key Components:
Root Node: The topmost node in the tree.
Leaf Nodes: Nodes without children.
Edges: Connections between nodes.
Binary Search Trees (BST)
1. Definition and Properties
o A Binary Search Tree is a type of binary tree where each node
follows a specific order:
The left child’s value is less than its parent node’s value.
The right child’s value is greater than its parent node’s value.
o This property allows for efficient searching, insertion, and deletion
operations.
2. Searching in a BST
o To find a value, start at the root and compare the value with the
node’s value:
If the value is less, move to the left child.
If the value is greater, move to the right child.
Repeat this process until the value is found or the subtree is
exhausted.
Example:
To find the value 8:
Start at the root (9), move left (6), then move right (8) to find
the value.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller BpoBpo. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £3.48. You're not tied to anything after your purchase.
