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

Analysis of list operations


The complexity of list operations depends on traversal. For a linked list of n nodes, the isEmpty() method is O(1), as it only compares the first node to see if it is an empty environment. Similarly, the sizeLinkList() method requires O(n) operations to determine the length of a linked list, as the linked list has to traverse through all the nodes for length determination.

The deletion and searching for an item in the linked list in worst case will take O(n) operations, as the pointer may have to scan through all the nodes before it finds the item for deletion. On the other hand, the addElement() method will take O(1) time as it is directly adding a new element to the head of the linked list. Insertion based on position will take O(p) time, as the linked list has to traverse through p nodes before performing an insertion. For example, say we want to insert 11 at the third position in the list <1, 2, 5, 4>. The current insertion operation will require the...