Book Image

Introduction to Algorithms

By : Cuantum Technologies LLC
Book Image

Introduction to Algorithms

By: Cuantum Technologies LLC

Overview of this book

Begin your journey into the fascinating world of algorithms with this comprehensive course. Starting with an introduction to the basics, you will learn about pseudocode and flowcharts, the fundamental tools for representing algorithms. As you progress, you'll delve into the efficiency of algorithms, understanding how to evaluate and optimize them for better performance. The course will also cover various basic algorithm types, providing a solid foundation for further exploration. You will explore specific categories of algorithms, including search and sort algorithms, which are crucial for managing and retrieving data efficiently. You will also learn about graph algorithms, which are essential for solving problems related to networks and relationships. Additionally, the course will introduce you to the data structures commonly used in algorithms. Towards the end, the focus shifts to algorithm design techniques and their real-world applications. You will discover various strategies for creating efficient and effective algorithms and see how these techniques are applied in real-world scenarios. By the end of the course, you will have a thorough understanding of algorithmic principles and be equipped with the skills to apply them in your technical career.
Table of Contents (14 chapters)
11
Conclusion
12
Where to continue?
13
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8.4 Trees and Graphs

Trees and graphs are non-linear data structures that are widely used to model relationships between various data. Trees, for instance, are very useful for representing hierarchical data such as family trees, computer file systems, and organization charts.

On the other hand, graphs can be used to model complex relationships between different entities such as social networks, transportation networks, and the internet. By using trees and graphs, we can represent data in more complex and meaningful ways than with simpler linear data structures like arrays, stacks, or queues.

8.4.1 Trees

A tree is a data structure that consists of a set of connected nodes, which are organized in a hierarchical manner. The first node or the topmost node is called the root node, and it is the starting point of the tree. From the root, there are additional nodes which may also have their child nodes. Nodes that do not have a parent are called roots, while nodes that do not have children...