Book Image

R Data Structures and Algorithms

By : PKS Prakash, Achyutuni Sri Krishna Rao
Book Image

R Data Structures and Algorithms

By: PKS Prakash, Achyutuni Sri Krishna Rao

Overview of this book

In this book, we cover not only classical data structures, but also functional data structures. We begin by answering the fundamental question: why data structures? We then move on to cover the relationship between data structures and algorithms, followed by an analysis and evaluation of algorithms. We introduce the fundamentals of data structures, such as lists, stacks, queues, and dictionaries, using real-world examples. We also cover topics such as indexing, sorting, and searching in depth. Later on, you will be exposed to advanced topics such as graph data structures, dynamic programming, and randomized algorithms. You will come to appreciate the intricacies of high performance and scalable programming using R. We also cover special R data structures such as vectors, data frames, and atomic vectors. With this easy-to-read book, you will be able to understand the power of linked lists, double linked lists, and circular linked lists. We will also explore the application of binary search and will go in depth into sorting algorithms such as bubble sort, selection sort, insertion sort, and merge sort.
Table of Contents (17 chapters)
R Data Structures and Algorithms
Credits
About the Authors
Acknowledgments
About the Reviewer
www.PacktPub.com
Preface

2-3 trees


A 2-3 tree is a type of tree-based indexing where each internal node in the tree has either two nodes with one key or three nodes with two keys thus, it is classified as a balanced tree. Also, all the nodes in a 2-3 tree are at the same level of tree height. An example of a two-node structure is shown in Figure 7.10:

Figure 7.10: Example of a two-node tree structure

A two-node structure consists of one key and two children/subtrees. All the keys on the left side are smaller, and all the keys on the right subtree are bigger than the key. Similarly, three-node structure has two keys with three children/subtrees, as shown in Figure 7.11:

Figure 7.11: Example of a three-node tree structure

In the three-node structure, the keys are arranged in a sorted order, the first key being the smallest. All keys on the left of the subtree are smaller than the first key. All the keys in the middle of the subtree are greater than the first key and smaller than the second key. All the keys on the...