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
Know more about us

7.1 Introduction to Graph Theory

In this first section, 7.1, we'll delve into the basics of Graph Theory, a fascinating branch of mathematics that has been around since the 18th century. Graph Theory is a field of study that focuses on graphs, which are essentially a set of objects (vertices or nodes) that are interconnected by links (edges or arcs). These graphs can be used to model a wide range of real-world systems, including computer networks, social networks, and even biological systems.

When we talk about graphs, we're really referring to two basic components: vertices (or nodes) and edges. Each vertex represents an entity, while each edge represents a relationship or connection between these entities. For example, consider a group of friends. Each friend can be represented as a vertex, and if two friends know each other, we can draw an edge between their corresponding vertices. This same principle can be applied to a multitude of real-world systems, from transportation...