Book Image

Swift Data Structure and Algorithms

By : Mario Eguiluz Alebicto
Book Image

Swift Data Structure and Algorithms

By: Mario Eguiluz Alebicto

Overview of this book

Apple’s Swift language has expressive features that are familiar to those working with modern functional languages, but also provides backward support for Objective-C and Apple’s legacy frameworks. These features are attracting many new developers to start creating applications for OS X and iOS using Swift. Designing an application to scale while processing large amounts of data or provide fast and efficient searching can be complex, especially running on mobile devices with limited memory and bandwidth. Learning about best practices and knowing how to select the best data structure and algorithm in Swift is crucial to the success of your application and will help ensure your application is a success. That’s what this book will teach you. Starting at the beginning, this book will cover the basic data structures and Swift types, and introduce asymptotic analysis. You’ll learn about the standard library collections and bridging between Swift and Objective-C collections. You will see how to implement advanced data structures, sort algorithms, work with trees, advanced searching methods, use graphs, and performance and algorithm efficiency. You’ll also see how to choose the perfect algorithm for your problem.
Table of Contents (15 chapters)
Swift Data Structure and Algorithms
Credits
About the Authors
About the Reviewers
www.PacktPub.com
Preface

Red-black trees


Red-black trees are similar to binary search trees with a new parameter for every node, the color of that node.

The color of the node can be either red or black. So, the data structure needed for red-black tree nodes contains a key value, a color, the reference to a parent, and the references to the left and right child.

Red-black trees need to satisfy the following color conditions:

  1. Every node must have a color red or black

  2. The root is black

  3. All the NULL/nil leaves are black

  4. For any red node, both children are black

  5. For each node, all simple paths from the node to descendant leaves contains the same number of black nodes

Red-black tree data structure

Because of color condition number five (see the preceding figure), red-black trees offer worst-case guarantees for key operations such as search, insertion, and deletions that are proportional to its tree height. Unlike regular binary search trees, this makes red-black trees a great candidate to be used in real-time processes and applications...