Book Image

C# Data Structures and Algorithms - Second Edition

By : Marcin Jamro
Book Image

C# Data Structures and Algorithms - Second Edition

By: Marcin Jamro

Overview of this book

Building your own applications is exciting but challenging, especially when tackling complex problems tied to advanced data structures and algorithms. This endeavor demands profound knowledge of the programming language as well as data structures and algorithms – precisely what this book offers to C# developers. Starting with an introduction to algorithms, this book gradually immerses you in the world of arrays, lists, stacks, queues, dictionaries, and sets. Real-world examples, enriched with code snippets and illustrations, provide a practical understanding of these concepts. You’ll also learn how to sort arrays using various algorithms, setting a solid foundation for your programming expertise. As you progress through the book, you’ll venture into more complex data structures – trees and graphs – and discover algorithms for tasks such as determining the shortest path in a graph before advancing to see various algorithms in action, such as solving Sudoku. By the end of the book, you’ll have learned how to use the C# language to build algorithmic components that are not only easy to understand and debug but also seamlessly applicable in various applications, spanning web and mobile platforms.
Table of Contents (13 chapters)

Coloring

The topic of finding the MST is not the only graph-related problem. Among others, node coloring exists. It aims to assign colors (numbers) to all nodes to comply with the rule that there cannot be an edge between two nodes with the same color. Of course, the number of colors should be as low as possible. Such a problem has some real-world applications, such as for coloring a map. The implementation of the coloring algorithm, which is shown in this chapter, is quite simple and in some cases could use more colors than is necessary.

Four-color theorem

Did you know that the nodes of each planar graph can be colored with no more than four colors? If you are interested in this topic, take a look at the four-color theorem (http://mathworld.wolfram.com/Four-ColorTheorem.html). Since I am talking about a planar graph, you should understand that it is a graph whose edges do not cross each other while it is drawn on the plane.

Let’s take a look at the following diagram...