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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Chapter 7 Summary

In this chapter, we've discovered the rich and complex field of graph theory and its applied branch, graph algorithms. We've started with an introduction to graphs, describing them as mathematical structures consisting of nodes, also known as vertices, and edges connecting these nodes. Graphs are ubiquitous in computer science and other fields, as they can represent a myriad of structures and problems: social networks, web pages, biological networks, transportation networks, and so much more.

After grounding ourselves in the fundamentals of graph theory, we plunged into the realm of specific graph algorithms. We began with the Depth-First Search (DFS), a simple yet powerful strategy for traversing or searching tree or graph data structures. It uses a last-in, first-out stack to remember to get the next vertex to start a search when a dead-end is encountered. We dove into the implementation details, exploring both the recursive and iterative versions, and discussed...